Prof. Michael Vynnycky

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

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

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

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

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

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

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

Nick A.;Vynnycky M. (2020) On longitudinal electromagnetic stirring in the continuous casting of steel blooms. Journal Of Engineering Mathematics :129-151

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

Vynnycky, M. (2020) On the formation of centreline shrinkage porosity in the continuous casting of steel. Journal Of Mathematics In Industry :1-26

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

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

Vynnycky M.;Lacaze J. (2019) On the modelling of joint formation in dissolutive brazing processes. Journal Of Engineering Mathematics :73-99

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

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

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

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

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

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

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

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

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

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

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

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

Mitchell, SL,Vynnycky, M (2017) Verified reduction of a model for a continuous casting process. Applied Mathematical Modelling :476-490

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

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

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

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

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

Vynnycky, M (2016) An asymptotic model for the primary drying stage of vial lyophilization. Journal Of Engineering Mathematics :175-200

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

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

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

Vynnycky, M,Kanev, K (2015) Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem. Journal Of Mathematical Imaging And Vision :326-337

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

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

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

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

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

Fowler, AC,Rust, AC,Vynnycky, M (2015) The formation of vesicular cylinders in pahoehoe lava flows. Geophysical And Astrophysical Fluid Dynamics :39-61

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

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

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

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

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

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

Vynnycky, M,O'Brien, MA (2014) A quasi-asymptotic model for the ascent of magmatic diapirs. Geophysical And Astrophysical Fluid Dynamics :20-43

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

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

Vynnycky, M (2013) On the onset of air-gap formation in vertical continuous casting with superheat. International Journal Of Mechanical Sciences :69-76

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

Vynnycky, M (2013) On the role of radiative heat transfer in air gap's in vertical continuous casting. Applied Mathematical Modelling :2178-2188

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

Vynnycky, M,Masuda, Y (2013) Rayleigh-Benard convection at high Rayleigh number and infinite Prandtl number: Asymptotics and numerics. Physics Of Fluids

Vynnycky, M,Ipek, N (2013) Multiple bulk-reaction asymptotics and the electrochemical pickling of steel. Journal Of Engineering Mathematics :105-128

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

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

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

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

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

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

Mitchell, SL,Vynnycky, M (2012) An accurate finite-difference method for ablation-type Stefan problems. Journal Of Computational And Applied Mathematics :4181-4192

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

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

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

Vynnycky, M (2011) Analysis of a model for the operation of a vanadium redox battery. Energy :2242-2256

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Ipek, N; Cornell, A; Vynnycky, M (2007) A mathematical model for the electrochemical pickling of steel. Journal Of The Electrochemical Society :P108-P119

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

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

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

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

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

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

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

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

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

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

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

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

Evans, JD; Vynnycky, M; Ferro, SP (2000) Oxidation-induced stresses in the isolation oxidation of silicon. Journal Of Engineering Mathematics :191-218

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

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

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

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

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

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

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

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

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

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

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