Skip to main content

Dr. Michael Vynnycky

Research Interests

Polymer electrolyte fuel cells; vanadium redox batteries; electrochemical pickling of steel; the Mpemba effect; continuous casting of metals; geophysical processes (mantle convection; magmatic ascent)

Professional Activities

Language

  • English
  • Swedish
  • Ukrainian
  • Japanese

Publications

Book Chapters

2016

Pickling: Electrochemical
Vynnycky, M.
(2016) Pickling: Electrochemical
In Encyclopedia of Iron, Steel, and Their Alloys; Rafael Colás, George E. Totten(Ed.) New York : Taylor and Francis
DOI: 10.1081/E-EISA-120050930

2005

Mathematical modelling of fuel cells: from analysis to numerics
Vynnycky, M; Birgersson, E
(2005) Mathematical modelling of fuel cells: from analysis to numerics
In Transport phenomena in fuel cells; WIT Press

Peer Reviewed Journals

2021

On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys
Assunção, M.; Vynnycky, M.; Mitchell, S. L.
(2021) On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys
In European Journal Of Applied Mathematics;

2021

A moving-boundary model of dissolution from binary drug-excipient granules incorporating granule microstructure
Moroney, K. M.; Kotamarthy, L.; Muthancheri, I.; Ramachandran, R.; Vynnycky, M.,
(2021) A moving-boundary model of dissolution from binary drug-excipient granules incorporating granule microstructure
In International Journal Of Pharmaceutics;
[ULIR]

2021

Analysis of a model for longitudinal electromagnetic stirring in the continuous casting of steel
Nick, A. S.; Vynnycky, M.; Jönsson, P. G.
(2021) Analysis of a model for longitudinal electromagnetic stirring in the continuous casting of steel
In International Journal Of Applied Electromagnetics And Mechanics;
DOI: 10.3233/JAE-200010
[ULIR]

2021

On the CFD modelling of slamming of the metal melt in high pressure die casting involving lost cores
Kohlstädt, S.; Vynnycky, M.; Goeke, S.
(2021) On the CFD modelling of slamming of the metal melt in high pressure die casting involving lost cores
In Metals;
[ULIR]

2021

A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel
Devine, K. M.; Vynnycky, M.; Mitchell, S. L; O'Brien, S. B. G.
(2021) A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel
In Ima Journal Of Applied Mathematics;
DOI: 10.1093/imamat/hxab003
[ULIR]

2021

A non-linear transient reaction-diffusion problem from electroanalytical chemistry
Vynnycky, M.; McKee, S.; Bieniasz, L. K.
(2021) A non-linear transient reaction-diffusion problem from electroanalytical chemistry
In Siam Journal On Applied Mathematics;

2021

An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuous boundary conditions
Mitchell, S. L.; Vynnycky, M.,
(2021) An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuous boundary conditions
In Applied Mathematics And Computation;

2020

Towards the modelling of fluid-structure interactive lost core deformation in high-pressure die casting
Kohlstädt S.;Vynnycky M.;Jäckel J.
(2020) Towards the modelling of fluid-structure interactive lost core deformation in high-pressure die casting
In Applied Mathematical Modelling;
DOI: 10.1016/j.apm.2019.10.060

2020

On the significance of sulphuric-acid dissociation in the modelling of vanadium redox flow batteries
Vynnycky, M.; Assunção, M.
(2020) On the significance of sulphuric-acid dissociation in the modelling of vanadium redox flow batteries
In Journal Of Engineering Mathematics;
[ULIR]

2020

Analysis of a model for the formation of fold-type oscillation marks in the continuous casting of steel
Devine, K. M.; Vynnycky, M.; Mitchell, S. L.; O'Brien, S. B. G.
(2020) Analysis of a model for the formation of fold-type oscillation marks in the continuous casting of steel
In Ima Journal Of Applied Mathematics;
[ULIR]

2020

On longitudinal electromagnetic stirring in the continuous casting of steel blooms
Nick A.;Vynnycky M.
(2020) On longitudinal electromagnetic stirring in the continuous casting of steel blooms
In Journal Of Engineering Mathematics;
DOI: 10.1007/s10665-019-10035-5
[ULIR]

2020

On the formation of centreline shrinkage porosity in the continuous casting of steel
Vynnycky, M.
(2020) On the formation of centreline shrinkage porosity in the continuous casting of steel
In Journal Of Mathematics In Industry;
[ULIR]

2019

Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities
Vynnycky, M.; McKee, S.; Meere, M.; McCormick, C.; McGinty, S.
(2019) Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities
In Ima Journal Of Applied Mathematics;

2019

On the modelling of joint formation in dissolutive brazing processes
Vynnycky M.;Lacaze J.
(2019) On the modelling of joint formation in dissolutive brazing processes
In Journal Of Engineering Mathematics;
DOI: 10.1007/s10665-019-10003-z
[ULIR]

2019

The vanadium redox flow battery: An asymptotic perspective
Vynnycky M.;Assunção M.
(2019) The vanadium redox flow battery: An asymptotic perspective
In Siam Journal On Applied Mathematics;
DOI: 10.1137/18M1168984

2019

An elementary diffusion problem, Laplace transforms and novel mathematical identities
McKee, S.; Vynnycky, M.; Cuminato, J. A.
(2019) An elementary diffusion problem, Laplace transforms and novel mathematical identities
In Journal Of Computational And Applied Mathematics;

2019

An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem
Reddy, G. M. M.; Vynnycky, M.; Cuminato, J. A.
(2019) An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem
In Journal Of Computational And Applied Mathematics;

2018

On the effect of control-point spacing on the multisolution phenomenon in the P3P problem
Vynnycky, M.; Reddy, G. M. M.
(2018) On the effect of control-point spacing on the multisolution phenomenon in the P3P problem
In Mathematical Problems In Engineering;

2018

Applied mathematical modelling of continuous casting processes: a review
Vynnycky, M.
(2018) Applied mathematical modelling of continuous casting processes: a review
In Metals;

2018

On an anomaly in the modelling of electromagnetic stirring in continuous casting
Vynnycky, M.
(2018) On an anomaly in the modelling of electromagnetic stirring in continuous casting
In Metallurgical And Materials Transactions B-Process Metallurgy And Materials Processing Science;

2018

An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys
Vynnycky, M.; Saleem, S.; Fredriksson, H.
(2018) An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys
In Applied Mathematical Modelling;

2018

Experimental and numerical CHT-investigations of cooling structures formed by lost cores in cast housings for optimal heat transfer
Kohlstädt, S.; Vynnycky, M.; Gebauer-Teichmann, A.
(2018) Experimental and numerical CHT-investigations of cooling structures formed by lost cores in cast housings for optimal heat transfer
In Heat And Mass Transfer;

2018

Numerical simulation of brazing aluminium alloys with Al-Si alloys
Lacaze, J.; Jacques, B.; Mazet, T.; Vynnycky, M.,
(2018) Numerical simulation of brazing aluminium alloys with Al-Si alloys
In Transactions Of The Indian Institute Of Metals;

2018

On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems
Reddy, G. M. M., Vynnycky, M.; Cuminato, J. A.
(2018) On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems
In Inverse Problems In Science And Engineering;

2018

Towards a "moving-point" formulation for the modelling of oscillation-mark formation in the continuous casting of steel
Vynnycky, M.; Zambrano, M.
(2018) Towards a "moving-point" formulation for the modelling of oscillation-mark formation in the continuous casting of steel
In Applied Mathematical Modelling;

2017

On the formation of fold-type oscillation marks in the continuous casting of steel
Vynnycky, M,Saleem, S,Devine, KM,Florio, BJ,Mitchell, SL,O'Brien, SBG
(2017) On the formation of fold-type oscillation marks in the continuous casting of steel
In Royal Society Open Science;
DOI: 10.1098/rsos.170062
[ULIR]

2017

Verified reduction of a model for a continuous casting process
Mitchell, SL,Vynnycky, M
(2017) Verified reduction of a model for a continuous casting process
In Applied Mathematical Modelling;
DOI: 10.1016/j.apm.2017.04.004

2017

On the interactive effects of mould taper and superheat on air gaps in continuous casting
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG
(2017) On the interactive effects of mould taper and superheat on air gaps in continuous casting
In Acta Mechanica;
DOI: 10.1007/s00707-016-1717-z

2017

The influence of peritectic reaction/transformation on crack susceptibility in the continuous casting of steels
Saleem, S.; Vynnycky, M.; Fredriksson, H
(2017) The influence of peritectic reaction/transformation on crack susceptibility in the continuous casting of steels
In Metallurgical And Materials Transactions B-Process Metallurgy And Materials Processing Science;

2017

On the explicit resolution of the mushy zone in the modelling of the continuous casting of alloys
Vynnycky, M.; Saleem, S.
(2017) On the explicit resolution of the mushy zone in the modelling of the continuous casting of alloys
In Applied Mathematical Modelling;

2016

A theoretical analysis of the interaction between pores and inclusions during continuous casting of steel
Nick, A. S.; Vynnycky, M.; Fredriksson, H.
(2016) A theoretical analysis of the interaction between pores and inclusions during continuous casting of steel
In Metallurgical And Materials Transactions A-Physical Metallurgy And Materials Science;

2016

On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
Mitchell, SL,Vynnycky, M
(2016) On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
In Journal Of Computational And Applied Mathematics;
DOI: 10.1016/j.cam.2015.12.021

2016

A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
Tomé, M. F.; Bertoco, J.; Oishi, C. M.; Araujo, M. S.; Cruz, D.;, Pinho, F. T.; Vynnycky, M.
(2016) A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
In Journal Of Computational Physics;

2016

An asymptotic model for the primary drying stage of vial lyophilization
Vynnycky, M
(2016) An asymptotic model for the primary drying stage of vial lyophilization
In Journal Of Engineering Mathematics;
DOI: 10.1007/s10665-015-9789-7

2016

A study of the oscillation marks' characteristics of continuously cast Incoloy alloy 825 blooms
Saleem, S.; Vynnycky, M.; Fredriksson, H.
(2016) A study of the oscillation marks' characteristics of continuously cast Incoloy alloy 825 blooms
In Metallurgical And Materials Transactions A-Physical Metallurgy And Materials Science;

2015

Boundary layers in pressure-driven flows in smectic A liquid crystals
Stewart, I. W.; Vynnycky, M.; McKee, S.; Tomé, M. F.
(2015) Boundary layers in pressure-driven flows in smectic A liquid crystals
In Siam Journal On Applied Mathematics;

2015

The formation of vesicular cylinders in pahoehoe lava flows
Fowler, AC,Rust, AC,Vynnycky, M
(2015) The formation of vesicular cylinders in pahoehoe lava flows
In Geophysical And Astrophysical Fluid Dynamics;
DOI: 10.1080/03091929.2014.955799

2015

On the numerical solution of a Stefan problem with finite extinction time
Vynnycky, M,Mitchell, SL
(2015) On the numerical solution of a Stefan problem with finite extinction time
In Journal Of Computational And Applied Mathematics;
DOI: 10.1016/j.cam.2014.08.023

2015

The oxygen diffusion problem: Analysis and numerical solution
Mitchell, SL,Vynnycky, M
(2015) The oxygen diffusion problem: Analysis and numerical solution
In Applied Mathematical Modelling;
DOI: 10.1016/j.apm.2014.10.068

2015

Mould-taper asymptotics and air gap formation in continuous casting
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG
(2015) Mould-taper asymptotics and air gap formation in continuous casting
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2015.07.011

2015

Non-isothermal hydrophobicity-dependent two-phase flow in the porous cathode gas diffusion layer of a polymer electrolyte fuel cell
Vynnycky, M,Gordon, AD
(2015) Non-isothermal hydrophobicity-dependent two-phase flow in the porous cathode gas diffusion layer of a polymer electrolyte fuel cell
In Journal Of Engineering Mathematics;
DOI: 10.1007/s10665-014-9748-8

2015

On the avoidance of ripple marks on cast metal surfaces
Vynnycky, M.; Zambrano, M.; Cuminato, J. A.
(2015) On the avoidance of ripple marks on cast metal surfaces
In International Journal Of Heat And Mass Transfer;

2015

Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts
Khaleque, TS,Fowler, AC,Howell, PD,Vynnycky, M
(2015) Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts
In Physics Of Fluids;
DOI: 10.1063/1.4923061
[ULIR]

2015

Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels
Sharma, AK,Birgersson, E,Vynnycky, M
(2015) Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2015.01.042

2015

Can natural convection alone explain the Mpemba effect?
Vynnycky, M.; Kimura, S.
(2015) Can natural convection alone explain the Mpemba effect?
In International Journal Of Heat And Mass Transfer;

2015

Verified reduction of dimensionality for an all-vanadium redox flow battery model
Sharma, A. K.; Ling, C. Y.; Birgersson, E.; Vynnycky, M.; Han, M.
(2015) Verified reduction of dimensionality for an all-vanadium redox flow battery model
In Journal Of Power Sources;

2015

Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem
Vynnycky, M,Kanev, K
(2015) Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem
In Journal Of Mathematical Imaging And Vision;
DOI: 10.1007/s10851-014-0525-0

2014

The quasi-steady state of all-vanadium redox flow batteries: a scale analysis
Sharma, A. K.; Vynnycky, M.; Ling, C. Y.; Birgersson, E.; Han, M.
(2014) The quasi-steady state of all-vanadium redox flow batteries: a scale analysis
In Electrochimica Acta;

2014

A quasi-asymptotic model for the ascent of magmatic diapirs
Vynnycky, M,O'Brien, MA
(2014) A quasi-asymptotic model for the ascent of magmatic diapirs
In Geophysical And Astrophysical Fluid Dynamics;
DOI: 10.1080/03091929.2013.819097

2014

On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
Mitchell, SL,Vynnycky, M
(2014) On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
In Journal Of Computational And Applied Mathematics;
DOI: 10.1016/j.cam.2014.01.003

2014

The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity
Vynnycky, M,O'Brien, MA
(2014) The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2013.12.078

2013

On the onset of air-gap formation in vertical continuous casting with superheat
Vynnycky, M
(2013) On the onset of air-gap formation in vertical continuous casting with superheat
In International Journal Of Mechanical Sciences;
DOI: 10.1016/j.ijmecsci.2013.04.007

2013

A finite-element method for the weakly compressible parabolized steady 3D Navier-Stokes equations in a channel with a permeable wall
Vynnycky, M,Sharma, AK,Birgersson, E
(2013) A finite-element method for the weakly compressible parabolized steady 3D Navier-Stokes equations in a channel with a permeable wall
In Computers & Fluids;
DOI: 10.1016/j.compfluid.2013.04.014

2013

ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS
Vynnycky, M,Mitchell, SL
(2013) ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS
In Numerical Heat Transfer Part B-Fundamentals;
DOI: 10.1080/10407790.2013.797312

2013

Rayleigh-Benard convection at high Rayleigh number and infinite Prandtl number: Asymptotics and numerics
Vynnycky, M,Masuda, Y
(2013) Rayleigh-Benard convection at high Rayleigh number and infinite Prandtl number: Asymptotics and numerics
In Physics Of Fluids;
DOI: 10.1063/1.4829450
[ULIR]

2013

On the interchangeability of potentiostatic and galvanostatic boundary conditions for fuel cells
Sharma, AK,Birgersson, E,Vynnycky, M,Ly, H
(2013) On the interchangeability of potentiostatic and galvanostatic boundary conditions for fuel cells
In Electrochimica Acta;
DOI: 10.1016/j.electacta.2013.07.092

2013

Contact lines with a 180 degrees contact angle
Benilov, ES,Vynnycky, M
(2013) Contact lines with a 180 degrees contact angle
In Journal Of Fluid Mechanics;
DOI: 10.1017/jfm.2012.625

2013

On the role of radiative heat transfer in air gap's in vertical continuous casting
Vynnycky, M
(2013) On the role of radiative heat transfer in air gap's in vertical continuous casting
In Applied Mathematical Modelling;
DOI: 10.1016/j.apm.2012.05.005

2013

On the hydrophobicity and hydrophilicity of the cathode gas diffusion layer in a polymer electrolyte fuel cell
Vynnycky, M,Gordon, A
(2013) On the hydrophobicity and hydrophilicity of the cathode gas diffusion layer in a polymer electrolyte fuel cell
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2012.0695

2013

Slow, steady ascent in a power-law fluid with temperature-dependent viscosity
Vynnycky, M,O'Brien, MA
(2013) Slow, steady ascent in a power-law fluid with temperature-dependent viscosity
In Journal Of Non-Newtonian Fluid Mechanics;
DOI: 10.1016/j.jnnfm.2012.12.001

2013

Multiple bulk-reaction asymptotics and the electrochemical pickling of steel
Vynnycky, M,Ipek, N
(2013) Multiple bulk-reaction asymptotics and the electrochemical pickling of steel
In Journal Of Engineering Mathematics;
DOI: 10.1007/s10665-012-9592-7

2013

An Aggregate Measure for the Local Current Density Coupling in Fuel Cell Stacks
Sharma, AK,Birgersson, E,Vynnycky, M
(2013) An Aggregate Measure for the Local Current Density Coupling in Fuel Cell Stacks
In Journal Of The Electrochemical Society;
DOI: 10.1149/2.050311jes

2012

Fuel cell model reduction through the spatial smoothing of flow channels
Ly, H,Birgersson, E,Vynnycky, M
(2012) Fuel cell model reduction through the spatial smoothing of flow channels
In International Journal Of Hydrogen Energy;
DOI: 10.1016/j.ijhydene.2012.01.129

2012

Axisymmetric natural convection-driven evaporation of water: Analysis and numerical solution
Vynnycky, M,Maeno, N
(2012) Axisymmetric natural convection-driven evaporation of water: Analysis and numerical solution
In International Journal Of Heat And Mass Transfer;
DOI: 10.1016/j.ijheatmasstransfer.2012.06.053

2012

An accurate finite-difference method for ablation-type Stefan problems
Mitchell, SL,Vynnycky, M
(2012) An accurate finite-difference method for ablation-type Stefan problems
In Journal Of Computational And Applied Mathematics;
DOI: 10.1016/j.cam.2012.05.011

2012

An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity
Vynnycky, M,O'Brien, MA
(2012) An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2012.09.049

2012

Axisymmetric natural convection-driven evaporation of hot water and the Mpemba effect
Vynnycky, M,Maeno, N
(2012) Axisymmetric natural convection-driven evaporation of hot water and the Mpemba effect
In International Journal Of Heat And Mass Transfer;
DOI: 10.1016/j.ijheatmasstransfer.2012.07.060

2011

Reaction-layer asymptotics and the electrochemical pickling of steel
Vynnycky, M; Ipek, N
(2011) Reaction-layer asymptotics and the electrochemical pickling of steel
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2011.0001

2011

Analysis of a model for the operation of a vanadium redox battery
Vynnycky, M
(2011) Analysis of a model for the operation of a vanadium redox battery
In Energy;
DOI: 10.1016/j.energy.2010.03.060

2011

Computationally efficient multi-phase models for a proton exchange membrane fuel cell: Asymptotic reduction and thermal decoupling
Ly, H; Birgersson, E; Vynnycky, M
(2011) Computationally efficient multi-phase models for a proton exchange membrane fuel cell: Asymptotic reduction and thermal decoupling
In International Journal Of Hydrogen Energy;
DOI: 10.1016/j.ijhydene.2011.08.034

2011

An accurate numerical solution for the transient heating of an evaporating spherical droplet
Mitchell, SL; Vynnycky, M; Gusev, IG; Sazhin, SS
(2011) An accurate numerical solution for the transient heating of an evaporating spherical droplet
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2011.03.161

2010

On the application of concentrated solution theory to the forced convective flow of excess supporting electrolyte
Vynnycky, M; Borg, KI
(2010) On the application of concentrated solution theory to the forced convective flow of excess supporting electrolyte
In Electrochimica Acta;
DOI: 10.1016/j.electacta.2010.06.070

2010

Evaporative cooling and the Mpemba effect
Vynnycky, M; Mitchell, SL
(2010) Evaporative cooling and the Mpemba effect
In Heat And Mass Transfer;
DOI: 10.1007/s00231-010-0637-z

2010

Air gaps in vertical continuous casting in round moulds
Vynnycky, M
(2010) Air gaps in vertical continuous casting in round moulds
In Journal Of Engineering Mathematics;
DOI: 10.1007/s10665-009-9341-8

2010

Asymptotically Reduced Model for a Proton Exchange Membrane Fuel Cell Stack: Automated Model Generation and Verification
Ly, H; Birgersson, E; Vynnycky, M
(2010) Asymptotically Reduced Model for a Proton Exchange Membrane Fuel Cell Stack: Automated Model Generation and Verification
In Journal Of The Electrochemical Society;
DOI: 10.1149/1.3384864

2009

Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
Mitchell, SL; Vynnycky, M
(2009) Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2009.07.054

2009

Validated Reduction and Accelerated Numerical Computation of a Model for the Proton Exchange Membrane Fuel Cell
Ly, H; Birgersson, E; Vynnycky, M; Sasmito, AP
(2009) Validated Reduction and Accelerated Numerical Computation of a Model for the Proton Exchange Membrane Fuel Cell
In Journal Of The Electrochemical Society;
DOI: 10.1149/1.3160571

2009

A mathematical model for air-gap formation in vertical continuous casting: the effect of superheat
Vynnycky, M
(2009) A mathematical model for air-gap formation in vertical continuous casting: the effect of superheat
In Transactions Of The Indian Institute Of Metals;

2009

ASYMPTOTIC REDUCTION FOR NUMERICAL MODELING OF POLYMER ELECTROLYTE FUEL CELLS
Vynnycky, M; Shugai, G; Yakubenko, P; Mellgren, N
(2009) ASYMPTOTIC REDUCTION FOR NUMERICAL MODELING OF POLYMER ELECTROLYTE FUEL CELLS
In Siam Journal On Applied Mathematics;
DOI: 10.1137/080722370

2009

An asymptotic model for the formation and evolution of air gaps in vertical continuous casting
Vynnycky, M
(2009) An asymptotic model for the formation and evolution of air gaps in vertical continuous casting
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2008.0467

2009

Heat-flux measurements of industrial on-site continuous copper casting and their use as boundary conditions for numerical simulations
Aberg, J; Vynnycky, M; Fredriksson, H
(2009) Heat-flux measurements of industrial on-site continuous copper casting and their use as boundary conditions for numerical simulations
In Transactions Of The Indian Institute Of Metals;

2009

Supporting electrolyte asymptotics and the electrochemical pickling of steel
Vynnycky, M; Ipek, N
(2009) Supporting electrolyte asymptotics and the electrochemical pickling of steel
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2009.0291

2008

A note on electrolysis with forced convection at large Péclet number in a channel and an excess of supporting electrolyte
Bark, F. H.; Vynnycky, M.
(2008) A note on electrolysis with forced convection at large Péclet number in a channel and an excess of supporting electrolyte
In Russian Journal Of Electrochemistry;

2008

A coupled electrochemical and hydrodynamical two-phase model for the electrolytic pickling of steel
Ipek N., Vynnycky M., Cornell A.
(2008) A coupled electrochemical and hydrodynamical two-phase model for the electrolytic pickling of steel
In Journal Of The Electrochemical Society;
DOI: 10.1149/1.2835224

2008

Impedance as a tool for investigating ageing in lithium-ion porous electrodes. Part 2: positive electrode examination
Brown, S; Mellgren, N; Vynnycky, M; Lindbergh, G
(2008) Impedance as a tool for investigating ageing in lithium-ion porous electrodes. Part 2: positive electrode examination
In Journal Of The Electrochemical Society;

2008

Impedance as a tool for investigating ageing in lithium-ion porous electrodes. Part 1: physically based electrochemical model
Mellgren, N; Brown, S; Vynnycky, M; Lindbergh, G
(2008) Impedance as a tool for investigating ageing in lithium-ion porous electrodes. Part 1: physically based electrochemical model
In Journal Of The Electrochemical Society;

2007

A mathematical model for the electrochemical pickling of steel
Ipek, N; Cornell, A; Vynnycky, M
(2007) A mathematical model for the electrochemical pickling of steel
In Journal Of The Electrochemical Society;

2007

On the modelling of two-phase flow in the gas diffusion layer of a polymer electrolyte fuel cell
Vynnycky, M.
(2007) On the modelling of two-phase flow in the gas diffusion layer of a polymer electrolyte fuel cell
In Applied Mathematics And Computation;

2007

An analytical and numerical study of coupled transient natural convection and solidification in a rectangular enclosure
Vynnycky, M; Kimura, S
(2007) An analytical and numerical study of coupled transient natural convection and solidification in a rectangular enclosure
In International Journal Of Heat And Mass Transfer;

2006

Numerical and experimental study of the effect of gas evolution in electrolytic pickling
Ipek, N; Lior, N; Vynnycky, M; Bark, FH
(2006) Numerical and experimental study of the effect of gas evolution in electrolytic pickling
In Journal Of Applied Electrochemistry;

2006

A quantitative study of the effect of flow-distributor geometry in the cathode of a PEFC
Birgersson, E.; Vynnycky, M.
(2006) A quantitative study of the effect of flow-distributor geometry in the cathode of a PEFC
In Journal Of Power Sources;

2005

An on-site experimental heat flux study and its interpretation in a FEMLAB finite element simulation of continuous casting of copper in the South-Wire process
Åberg, J.; Vynnycky, M.; Fredriksson, H.; Nassar, H.; Bergström, T.
(2005) An on-site experimental heat flux study and its interpretation in a FEMLAB finite element simulation of continuous casting of copper in the South-Wire process
In Transactions Of The Indian Institute Of Metals;

2005

Analysis of a two-phase non-isothermal model for a PEFC
Noponen, M; Birgersson, E; Vynnycky, M
(2005) Analysis of a two-phase non-isothermal model for a PEFC
In Journal Of The Electrochemical Society;

2004

Reduced two-phase model for analysis of the anode of a DMFC
Birgersson, E; Nordlund, J; Vynnycky, M; Picard, C; Lindbergh, G
(2004) Reduced two-phase model for analysis of the anode of a DMFC
In Journal Of The Electrochemical Society;

2004

A two-phase non-isothermal PEFC model: theory and validation
Noponen, M.; Birgersson, E.; Ihonen, J.; Vynnycky, M.; Lundblad, A.; Lindbergh, G.
(2004) A two-phase non-isothermal PEFC model: theory and validation
In Fuel Cells;

2004

The design and usage of a visual direct methanol fuel cell
Nordlund, J; Picard, C; Birgersson, E; Vynnycky, M; Lindbergh, G
(2004) The design and usage of a visual direct methanol fuel cell
In Journal Of Applied Electrochemistry;

2003

A reduced two-dimensional one-phase model for analysis of the anode of a DMFC
Birgersson, K. E.; Nordlund, J.; Ekström, H.; Vynnycky, M.; Lindbergh, G.
(2003) A reduced two-dimensional one-phase model for analysis of the anode of a DMFC
In Journal Of The Electrochemical Society;

2003

Analysis of a model for multicomponent mass transfer in the cathode of a polymer electrolyte fuel cell
Vynnycky, M; Birgersson, KE
(2003) Analysis of a model for multicomponent mass transfer in the cathode of a polymer electrolyte fuel cell
In Siam Journal On Applied Mathematics;

2003

A reduced two-dimensional one-phase model for analysis of the anode of a DMFC
Birgersson, KE; Nordlund, J; Ekström, H; Vynnycky, M; Lindbergh, G
(2003) A reduced two-dimensional one-phase model for analysis of the anode of a DMFC
In Journal Of The Electrochemical Society;

2003

Some analytical and numerical solutions to inverse problems applied to optimizing phase-transformation-tracking in gas quenching
Vynnycky, M; Ferrari, J; Lior, N
(2003) Some analytical and numerical solutions to inverse problems applied to optimizing phase-transformation-tracking in gas quenching
In J. Heat Transfer;

2003

An experimental and numerical study on the modelling of fluid flow, heat transfer and solidification in a copper continuous strip casting process
Mahmoudi, J.; Vynnycky, M.; Sivesson, P.; Fredriksson, H.
(2003) An experimental and numerical study on the modelling of fluid flow, heat transfer and solidification in a copper continuous strip casting process
In Materials Transactions;

2000

Oxidation-induced stresses in the isolation oxidation of silicon
Evans, JD; Vynnycky, M; Ferro, SP
(2000) Oxidation-induced stresses in the isolation oxidation of silicon
In Journal Of Engineering Mathematics;

1999

Stability analysis of natural convection in a cavity; walls with uniform heat or mass flux
Sundström, L-G; Vynnycky, M
(1999) Stability analysis of natural convection in a cavity; walls with uniform heat or mass flux
In Journal Of Fluid Mechanics;

1998

Concerning closed-streamline flows with discontinuous boundary conditions
Vynnycky, M
(1998) Concerning closed-streamline flows with discontinuous boundary conditions
In Journal Of Engineering Mathematics;

1998

Forced convection heat transfer from a plate
Vynnycky, M; Kimura, S; Kanev ,K; Pop, I
(1998) Forced convection heat transfer from a plate
In International Journal Of Heat And Mass Transfer;

1997

Mixed convection due to a finite horizontal flat plate embedded in a porous medium
Vynnycky, M; Pop, I
(1997) Mixed convection due to a finite horizontal flat plate embedded in a porous medium
In Journal Of Fluid Mechanics;

1996

Coupled Batchelor flows in a confined cavity
Vynnycky, M; Kanev, K
(1996) Coupled Batchelor flows in a confined cavity
In Journal Of Fluid Mechanics;

1996

Conjugate free convection due to a heated vertical plate
Vynnycky, M; Kimura, S
(1996) Conjugate free convection due to a heated vertical plate
In International Journal Of Heat And Mass Transfer;

1995

Unicellular natural circulation in a shallow porous layer heated from below by a constant flux
Kimura, S; Vynnycky, M; Alavyoon, F
(1995) Unicellular natural circulation in a shallow porous layer heated from below by a constant flux
In Journal Of Fluid Mechanics;

1995

Transient conjugate free convection due to a vertical plate in a porous medium
Vynnycky, M; Kimura, S
(1995) Transient conjugate free convection due to a vertical plate in a porous medium
In International Journal Of Heat And Mass Transfer;

1994

An investigation of recirculating flow in a driven cavity
Vynnycky, M; Kimura, S
(1994) An investigation of recirculating flow in a driven cavity
In Phys. Fluids.;

1994

On the uniform vorticity in a high Reynolds number flow
Vynnycky, M
(1994) On the uniform vorticity in a high Reynolds number flow
In Journal Of Engineering Mathematics;

1994

Conjugate free convection due to a vertical plate in a porous medium
Vynnycky, M; Kimura, S
(1994) Conjugate free convection due to a vertical plate in a porous medium
In International Journal Of Heat And Mass Transfer;

Other Journals

2021

An adaptive boundary algorithm to reconstruct initial and boundary data using the method of fundamental solutions for the inverse Cauchy-Stefan problem
Reddy, G. M. M.; Nanda, P.; Vynnycky, M.; Cuminato, J. A.
(2021) An adaptive boundary algorithm to reconstruct initial and boundary data using the method of fundamental solutions for the inverse Cauchy-Stefan problem
In Computational and Applied Mathematics;

2020

A compact FEM implementation for parabolic integro-differential equations in 2D
Reddy, G. M. M.; Seitenfuss, A. B.; Medeiros, D. O.; Meacci, L.; Assunção, M.; Vynnycky, M.
(2020) A compact FEM implementation for parabolic integro-differential equations in 2D
In Algorithms;
[ULIR]

2019

Comparative RANS turbulence modelling of lost salt core viability in high pressure die casting
Kohlstädt, S.; Vynnycky, M.; Neubauer, A.; Gebauer-Teichmann, A.
(2019) Comparative RANS turbulence modelling of lost salt core viability in high pressure die casting
In Progress in Computational Fluid Dynamics;

2018

Mathematical modelling of macrosegregation in ingot casting
Assunção, M.; Vynnycky, M.
(2018) Mathematical modelling of macrosegregation in ingot casting
In Engenharia Térmica (Thermal Engineering);

2017

Why two glass plates are so difficult to pull apart
McKee, S.; Vynnycky, M.; Stewart, I. W.
(2017) Why two glass plates are so difficult to pull apart
In Mathematics Today;

2016

Experimental, statistical and numerical studies of the continuous casting process based on temperature profiles - part I
Boumedmed, R.; Mansour C.; Bouhouch S.; Vynnycky M.; Boualem, N.
(2016) Experimental, statistical and numerical studies of the continuous casting process based on temperature profiles - part I
In Journal of Chemical Technology and Metallurgy ;

2014

A mathematical model of the rainwater flows in a green roof
Adley, C. C.; Cooker, M. J.; Fay, G. L.; Hewitt, I.; Lacey, A. A.; Mellgren, N.; Robinson, M.; Vynnycky, M.
(2014) A mathematical model of the rainwater flows in a green roof
In Mathematics in Industry Case Studies Journal;

2013

Foam formation in the plastics industry
Vynnycky, M.; Lee, W. T.; Mitchell, S. L.; Richardson, G.
(2013) Foam formation in the plastics industry
In Mathematics in Industry Case Studies Journal;

2009

Method for measuring flow velocity based on periodic heating and MEMS techniques
Kanaoka, Y.; Kimura, S.; Vynnycky, M.; Kimura, O.; Kiwata, T.
(2009) Method for measuring flow velocity based on periodic heating and MEMS techniques
In International Journal of Transport Phenomena;

2001

Modelling of fluid flow, heat transfer, solidification in the strip casting of copper base alloy. Part 3. Solidification – a theoretical study
Mahmoudi, J.; Vynnycky, M.
(2001) Modelling of fluid flow, heat transfer, solidification in the strip casting of copper base alloy. Part 3. Solidification – a theoretical study
In Scandinavian Journal of Metallurgy;

2001

Modelling of fluid flow, heat transfer, solidification in the strip casting of copper base alloy. Part 2. Heat transfer
Mahmoudi, J.; Vynnycky, M.
(2001) Modelling of fluid flow, heat transfer, solidification in the strip casting of copper base alloy. Part 2. Heat transfer
In Scandinavian Journal of Metallurgy;

2001

Modelling of fluid flow, heat transfer, solidification in the strip casting of copper base alloy. Part 1. Water model
Mahmoudi, J.; Vynnycky, M.
(2001) Modelling of fluid flow, heat transfer, solidification in the strip casting of copper base alloy. Part 1. Water model
In Scandinavian Journal of Metallurgy;

Conference Publications

2014

Proceedings of ECMI 2014
Vynnycky, M.; Mitchell, S. L.; Florio, B. J. and O'Brien, S. B. G.
(2014) Proceedings of ECMI 2014

2014

TMS 2014 SUPPLEMENTAL PROCEEDINGS
Saleem, S,Vynnycky, M,Fredriksson, H,
(2014) TMS 2014 SUPPLEMENTAL PROCEEDINGS
In Tms 2014 Supplemental Proceedings;

2011

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Vynnycky M.;Ipek N.
(2011) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2011.0001

2010

75th European Study Group with Industry- Proceedings
Hewitt I., Lacey A., Mellgren N., Vynnycky, M., Robinson M., Cooker M., Fowler, A., Gonzalez, M., Simboek H., Murphy, T., Devereux, M., Sedakov R., Kirby G., Fay G., Wang Q., Adley CC
(2010) 75th European Study Group with Industry- Proceedings

2009

Applied Mathematics and Computation
Mitchell S.;Vynnycky M.
(2009) Applied Mathematics and Computation
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2009.07.054

2009

EFC 2009 - Piero Lunghi Conference, Proceedings of the 3rd European Fuel Cell Technology and Applications Conference
Ly H.;Birgersson E.;Vynnycky M.
(2009) EFC 2009 - Piero Lunghi Conference, Proceedings of the 3rd European Fuel Cell Technology and Applications Conference

2009

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Vynnycky, M; OBrien, M
(2009) NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2

2009

Lecture Notes in Computational Science and Engineering
Vynnycky M., Ipek N.
(2009) Lecture Notes in Computational Science and Engineering

DOI: 10.1007/978-3-642-00605-0_24

2009

AIP Conference Proceedings
Vynnycky M., O'Brien M.
(2009) AIP Conference Proceedings

DOI: 10.1063/1.3241366

2009

Transactions of the Indian Institute of Metals
Åberg J.;Vynnycky M.;Fredriksson H.
(2009) Transactions of the Indian Institute of Metals
In Transactions Of The Indian Institute Of Metals;

Editorials

2019

Continuous casting
Vynnycky M.
(2019) Continuous casting
In Journal Of Metals;
DOI: 10.3390/met9060643

Thesiss

1991

Mathematical modelling of heat and mass transfer in welding processes
Vynnycky, M
(1991) Mathematical modelling of heat and mass transfer in welding processes
Oxford : Oxford