# Prof. 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

## Peer Reviewed Journals

### 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. Metals :1-17

### 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. Applied Mathematics And Computation :1-16

### 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. International Journal Of Applied Electromagnetics And Mechanics

### 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. Ima Journal Of Applied Mathematics

### 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. European Journal Of Applied Mathematics :199-225

### 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. Siam Journal On Applied Mathematics :208-232

### 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. International Journal Of Pharmaceutics :1-14

### 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. Journal Of Engineering Mathematics :173-203

### 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. Applied Mathematical Modelling :319-333

### 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. Journal Of Engineering Mathematics :129-151

### 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. Ima Journal Of Applied Mathematics :385-420

### 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. Journal Of Mathematics In Industry :1-26

### 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. Journal Of Engineering Mathematics :73-99

### 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. Ima Journal Of Applied Mathematics :533-554

### The vanadium redox flow battery: An asymptotic perspective

Vynnycky M.;Assunção M. (2019) The vanadium redox flow battery: An asymptotic perspective. Siam Journal On Applied Mathematics :1147-1172

### 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. Journal Of Computational And Applied Mathematics :113-119

### 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. Journal Of Computational And Applied Mathematics :21-40

### Applied mathematical modelling of continuous casting processes: a review

Vynnycky, M. (2018) Applied mathematical modelling of continuous casting processes: a review. Metals :1-23

### 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. Transactions Of The Indian Institute Of Metals :2623-2629

### 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. Heat And Mass Transfer :3445-3459

### 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. Inverse Problems In Science And Engineering :1249-1279

### 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. Metallurgical And Materials Transactions B-Process Metallurgy And Materials Processing Science :399-410

### 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. Mathematical Problems In Engineering :1-13

### 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. Applied Mathematical Modelling :243-265

### 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. Applied Mathematical Modelling :605-626

### 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. Applied Mathematical Modelling :476-490

### 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. Acta Mechanica :233-254

### 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. Metallurgical And Materials Transactions B-Process Metallurgy And Materials Processing Science :1625-1635

### 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. Royal Society Open Science

### 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. Applied Mathematical Modelling :544-568

### 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. Journal Of Computational Physics :114-141

### 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. Journal Of Engineering Mathematics :175-200

### 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. Metallurgical And Materials Transactions A-Physical Metallurgy And Materials Science :4068-4079

### 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. Metallurgical And Materials Transactions A-Physical Metallurgy And Materials Science :2985-2999

### 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. Journal Of Computational And Applied Mathematics :259-274

### 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. Journal Of Computational And Applied Mathematics :98-109

### 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. Journal Of Mathematical Imaging And Vision :326-337

### 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. International Journal Of Heat And Mass Transfer :43-54

### 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. Applied Mathematics And Computation :1122-1139

### The oxygen diffusion problem: Analysis and numerical solution

Mitchell, SL,Vynnycky, M (2015) The oxygen diffusion problem: Analysis and numerical solution. Applied Mathematical Modelling :2763-2776

### 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. Geophysical And Astrophysical Fluid Dynamics :39-61

### Can natural convection alone explain the Mpemba effect?

Vynnycky, M.; Kimura, S. (2015) Can natural convection alone explain the Mpemba effect?. International Journal Of Heat And Mass Transfer :243-255

### 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. Applied Mathematics And Computation :392-407

### 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. Physics Of Fluids

### 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. Journal Of Engineering Mathematics :123-146

### 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. Siam Journal On Applied Mathematics :1817-1851

### 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. Journal Of Power Sources :345-350

### 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. Journal Of Computational And Applied Mathematics :49-64

### 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. Geophysical And Astrophysical Fluid Dynamics :20-43

### 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. Applied Mathematics And Computation :231-253

### 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. Electrochimica Acta :657-662

### 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. Journal Of The Electrochemical Society :1237-1240

### 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. International Journal Of Mechanical Sciences :69-76

### 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. Computers & Fluids :152-161

### 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. Applied Mathematical Modelling :2178-2188

### 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. Numerical Heat Transfer Part B-Fundamentals :275-292

### 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. Physics Of Fluids

### 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. Journal Of Engineering Mathematics :105-128

### 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. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences

### 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. Electrochimica Acta :617-622

### Contact lines with a 180 degrees contact angle

Benilov, ES,Vynnycky, M (2013) Contact lines with a 180 degrees contact angle. Journal Of Fluid Mechanics :481-506

### 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. Journal Of Non-Newtonian Fluid Mechanics :9-18

### 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. International Journal Of Hydrogen Energy :7779-7795

### 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. Journal Of Computational And Applied Mathematics :4181-4192

### 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. International Journal Of Heat And Mass Transfer :7297-7311

### 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. International Journal Of Heat And Mass Transfer :6238-6249

### 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. Applied Mathematics And Computation :3154-3177

### 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. Energy :2242-2256

### 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. International Journal Of Hydrogen Energy :14573-14589

### 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. Applied Mathematics And Computation :9219-9233

### Reaction-layer asymptotics and the electrochemical pickling of steel

Vynnycky, M; Ipek, N (2011) Reaction-layer asymptotics and the electrochemical pickling of steel. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences :2534-2560

### 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. Journal Of The Electrochemical Society :B982-B992

### Evaporative cooling and the Mpemba effect

Vynnycky, M; Mitchell, SL (2010) Evaporative cooling and the Mpemba effect. Heat And Mass Transfer :881-890

### Air gaps in vertical continuous casting in round moulds

Vynnycky, M (2010) Air gaps in vertical continuous casting in round moulds. Journal Of Engineering Mathematics :129-152

### 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. Electrochimica Acta :7109-7117

### 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. Journal Of The Electrochemical Society :B1156-B1168

### 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. Applied Mathematics And Computation :1609-1621

### 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. Transactions Of The Indian Institute Of Metals :495-498

### 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. Transactions Of The Indian Institute Of Metals :443-446

### Supporting electrolyte asymptotics and the electrochemical pickling of steel

Vynnycky, M; Ipek, N (2009) Supporting electrolyte asymptotics and the electrochemical pickling of steel. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences :3771-3797

### 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. Siam Journal On Applied Mathematics :455-487

### 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. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences :1617-1644

### 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. Journal Of The Electrochemical Society :P33-P43

### 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. Journal Of The Electrochemical Society :A320-A328

### 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. Journal Of The Electrochemical Society :A304-A319

### 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. Russian Journal Of Electrochemistry :470-478

### 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. Applied Mathematics And Computation :1560-1575

### 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. International Journal Of Heat And Mass Transfer :5204-5414

### 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. Journal Of The Electrochemical Society :P108-P119

### 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. Journal Of Power Sources :76-88

### 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. Journal Of Applied Electrochemistry :1367-1379

### 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. Transactions Of The Indian Institute Of Metals :509-515

### 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. Journal Of The Electrochemical Society :A1021-A1034

### 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. Journal Of Applied Electrochemistry :763-770

### 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. Journal Of The Electrochemical Society :A2157-A2172

### 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. Fuel Cells :365-377

### 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. J. Heat Transfer :1-10

### 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. Materials Transactions :1741-1751

### 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. Journal Of The Electrochemical Society :A1368-A1376

### 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. Journal Of The Electrochemical Society :A1368-A1376

### 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. Siam Journal On Applied Mathematics :1392-1423

### 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. Journal Of Engineering Mathematics :191-218

### 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. Journal Of Fluid Mechanics :45-73

### Forced convection heat transfer from a plate

Vynnycky, M; Kimura, S; Kanev ,K; Pop, I (1998) Forced convection heat transfer from a plate. International Journal Of Heat And Mass Transfer :45-59

### Concerning closed-streamline flows with discontinuous boundary conditions

Vynnycky, M (1998) Concerning closed-streamline flows with discontinuous boundary conditions. Journal Of Engineering Mathematics :141-156

### 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. Journal Of Fluid Mechanics :359-378

### Coupled Batchelor flows in a confined cavity

Vynnycky, M; Kanev, K (1996) Coupled Batchelor flows in a confined cavity. Journal Of Fluid Mechanics :305-322

### Conjugate free convection due to a heated vertical plate

Vynnycky, M; Kimura, S (1996) Conjugate free convection due to a heated vertical plate. International Journal Of Heat And Mass Transfer :1067-1080

### 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. Journal Of Fluid Mechanics :231-257

### 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. International Journal Of Heat And Mass Transfer :219-231

### An investigation of recirculating flow in a driven cavity

Vynnycky, M; Kimura, S (1994) An investigation of recirculating flow in a driven cavity. Phys. Fluids. :3610-3620

### On the uniform vorticity in a high Reynolds number flow

Vynnycky, M (1994) On the uniform vorticity in a high Reynolds number flow. Journal Of Engineering Mathematics :129-144

### 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. International Journal Of Heat And Mass Transfer :229-236

## Books

## Book Chapters

### Pickling: Electrochemical

Vynnycky, M. (2016) Pickling: Electrochemical. New York : Taylor and Francis Encyclopedia of Iron, Steel, and Their Alloys :2516-2531

### Mathematical modelling of fuel cells: from analysis to numerics

Vynnycky, M; Birgersson, E (2005) Mathematical modelling of fuel cells: from analysis to numerics. : WIT Press Transport phenomena in fuel cells :247-282

## Edited Books

## Other Journals

### 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. Computational and Applied Mathematics :1-26

### 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. Algorithms :1-23

### 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. Progress in Computational Fluid Dynamics :316-327

### Mathematical modelling of macrosegregation in ingot casting

Assunção, M.; Vynnycky, M. (2018) Mathematical modelling of macrosegregation in ingot casting. Engenharia Térmica (Thermal Engineering) :74-79

### 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. Mathematics Today :68-70

### 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. Journal of Chemical Technology and Metallurgy :121-132

### 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. Mathematics in Industry Case Studies Journal :1-21

### Foam formation in the plastics industry

Vynnycky, M.; Lee, W. T.; Mitchell, S. L.; Richardson, G. (2013) Foam formation in the plastics industry. Mathematics in Industry Case Studies Journal :27-42

### 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. International Journal of Transport Phenomena :63-77

### 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. Scandinavian Journal of Metallurgy :136-145

### 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. Scandinavian Journal of Metallurgy :30-40

### 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. Scandinavian Journal of Metallurgy :21-29

## Conference Publications

### TMS 2014 SUPPLEMENTAL PROCEEDINGS

Saleem, S,Vynnycky, M,Fredriksson, H, (2014) TMS 2014 SUPPLEMENTAL PROCEEDINGS. Tms 2014 Supplemental Proceedings :339-346

### Proceedings of ECMI 2014

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

### 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. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences :2534-2560

### 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.

### NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2

Vynnycky, M; OBrien, M (2009) NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2. :1446-1449

### Lecture Notes in Computational Science and Engineering

Vynnycky M., Ipek N. (2009) Lecture Notes in Computational Science and Engineering. :287-294

### AIP Conference Proceedings

Vynnycky M., O'Brien M. (2009) AIP Conference Proceedings. :1446-1449

### 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. :133-134

### Applied Mathematics and Computation

Mitchell S.;Vynnycky M. (2009) Applied Mathematics and Computation. Applied Mathematics And Computation :1609-1621

### Transactions of the Indian Institute of Metals

Åberg J.;Vynnycky M.;Fredriksson H. (2009) Transactions of the Indian Institute of Metals. Transactions Of The Indian Institute Of Metals :443-446

## Conference Contributions

## Published Reports

## Editorials

### Continuous casting

Vynnycky M. (2019) Continuous casting. Journal Of Metals

## Book Reviews

## Other Publications

### Continuous casting

Vynnycky M. (2019) Continuous casting. Journal Of Metals

### Mathematical modelling of heat and mass transfer in welding processes

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