Harnessing of potential Hall and Dufour Effects on MHD flow over a parabolically accelerated vertical plate

Harnessing of potential Hall and Dufour Effects on MHD flow over a parabolically accelerated vertical plate A. Selvaraj Department of Mathematics, Vels Institute of Science Technology and Advanced Studies Chennai Tamil Nadu India M. Aruna Department of Mathematics Tagore Institute of Engineering and Technology Salem Tamil Nadu India S. Deepa Department of Mathematics Vel Tech High Tech Dr.Rangarajan Dr.Sakunthala Engineering College Chennai Tamil Nadu India S. Dilip Jose Department of Mathematics Periyar Maniammai Institute of Science & Technology (Deemed to be University) Thanjavur Tamil Nadu India S. Sahaya Jude Dhas Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences Saveetha University Chennai Tamil Nadu India https://orcid.org/0000-0002-2014-0268 Mohammed T. Alotaibi Department of Chemistry, Turabah University College Taif University, P.O. Box 11099 Taif 21944 Saudi Arabia Abstract

This research work investigates the Hall and Dufour Effects, as well as the impact of rotation, on magnetohydrodynamic flow over a parabolically accelerated vertical plate with uniform temperature and variable mass diffusion. In contrast to other studies that investigated these effects independently or under steady plate motion, this work evaluates their combined impact in a transient, parabolically accelerated condition in an entirely novel way. The precise nature of this impact is still not very clear despite relevant computations being made. Both the plate temperatures and the nearby concentration levels have increased consistently and uniformly. The dimensionless form was obtained by applying the Laplace transform. The Schmidt number, Ludwig Prandtl number, thermal Franz Grashof number, and mass Franz Grashof number were among the physical parameters that were assessed. For the profiles to be visually represented, these properties were included with the effects of velocity, temperature, and the number of species dissolved in the liquid. The liquid stream equation concepts are developed by implementing MATLAB software. Increased velocity measurements are the result of an increase in the thermal (or mass) Grashof number. A reversal of the trend has been observed in the Dufour and magnetic field characteristics. In the investigated settings, the temperature and concentration levels near the plate both steadily increase. This formulation provides a more thorough understanding of coupled electromagnetic–thermal–mass diffusion phenomena in electrically conducting fluids by integrating Hall currents, Dufour heat transfer, and rotational effects. It may find use in material processing, energy systems, and industrial cooling. Moreover, the current analysis illustrates the effects of Schmidt number variation and time‐dependent concentration decay on the concentration boundary layer in MHD flows. This information is essential for optimizing processes where mass transfer under magnetic fields is a governing factor, such as metallurgical operations, chemical reactors, cooling systems, and biomedical transport.
11 18 2025 11 2025 e70288 10.1002/zamm.70288 2 10.1002/crossmark_policy onlinelibrary.wiley.com true 2025-02-03 2025-10-30 2025-11-18 http://onlinelibrary.wiley.com/termsAndConditions#vor 10.1002/zamm.70288 https://onlinelibrary.wiley.com/doi/10.1002/zamm.70288 https://onlinelibrary.wiley.com/doi/pdf/10.1002/zamm.70288 10.1615/specialtopicsrevporousmedia.2018024579 10.1016/j.rinp.2019.102652 10.1016/j.matpr.2020.11.919 Adv. Appl. Math. Sci. Sindhu A. 6373 21 11 2022 Analysis on rotational impacts of parabolic flow past an accelerated isothermal vertical plate with variable temperature and uniform mass diffusion Int. J. Mech. Eng. Gowri T. 152 7 5 2022 Fluid performance of unsteady MHD parabolic flow past an accelerated vertical plate in the presence of rotation through porous medium 10.1016/j.matpr.2020.12.499 10.1007/978-981-33-4389-4_39 Jothi E. Selvaraj A. Dilipjose S. Neel Armstrong A. Karthikeyan S.:Effect of MHD and Radiation Absorption Fluid Flow Past an Exponentially Accelerated Vertical Plate with Variable Temperature and Concentration. InProceedings of the First International Conference on Mathematical Modeling and Computational Science pp.429–439(2021)https://doi.org/10.1007/978‐981‐33‐4389‐4_39 10.1007/978-981-99-1308-4_26 Aruna M. Selvaraj A. Rekha V.:Hall and Magnetic Impacts on Stream Past a Parabolic Accelerated Vertical Plate with Varying Heat and Uniform Mass Diffusion in the Appearance of Thermal Radiation.Recent Advances in Intelligent Manufacturing. Select Proceedings of ICAME pp.323–336(2023).https://doi.org/10.1007/978‐981‐99‐1308‐4_26 10.17654/0973576323035 10.17654/0973576323035 Eur. Chem. Bul. Lakshmikanthan D. 6205 2 4 2023 Heat Source effects of flow past a parabolic accelerated isothermal vertical plate in the presence of Hall Current, Chemical reaction, Rotation and Radiation 10.17762/turcomat.v12i12.8070 10.17762/turcomat.v12i6.7143 10.1016/j.ijengsci.2011.09.011 Int. J. Pure Appl. Math. Priyadarshini S.I. 89 116 24 2017 Skin friction analysis of parabolic started infinite vertical plate with variable temperature and variable mass diffusion in the presence of a magnetic field Tuijin Jishu/J. Propuls. Technol. Reddy A.D. 5114 44 4 2023 Heat and mass transfer flow on magneto hydro dynamic convective flow through Porous medium between Infinite vertical plate with Soret and Joules dissipation 10.4236/ojfd.2012.23009 10.52292/j.laar.2022.795 10.15672/hujms.735733 10.1063/5.0158630 Armstrong A.N. Dhanasekar N. Selvaraj A. Shanmugapriya R. Hemalatha P.K. Kumar J.N.:Rotational effect of parabolic flow past in a vertical plate through porous medium with variable temperature and uniform mass diffusion. InAIP Conference Proceedings vol.282191 080016(2023).https://doi.org/10.1063/5.0158630 10.1016/j.joems.2015.07.007 10.13140/RG.2.2.33144.49927 10.1615/JPorMedia.2018028721 10.37934/arfmts.110.2.192205 Indian J. Pure Appl. Phys. Sreedevi G. 551 55 8 2017 Soret and Dufour effects on MHD flow with heat and mass transfer past a permeable stretching sheet in presence of thermal radiation 10.1016/j.matpr.2021.07.098 10.17654/HM024010191 10.1016/j.molstruc.2023.136544 10.1016/j.csite.2022.102292 10.1016/j.seta.2022.101974 10.1007/s12633‐021‐01119‐y 10.1016/j.matpr.2022.07.142 10.1016/j.est.2020.101522 10.1016/j.desal.2021.115349 10.1016/j.desal.2022.115564 10.1007/978-981-33-4389-4_45 Usharani V. Selvaraj A. Constance Angela R. Neel Armstrong A.:Impact of MHD stream past an exponentially inclined vertical plate of first‐order chemical response with variable mass diffusion and thermal radiation. InProceedings of the First International Conference on Mathematical Modeling and Computational Science. ICMMCS 2020 pp.485–497(2021)https://doi.org/10.1007/9 10.1063/1.4946512 Krishna M.V. Swarnalathamma B.V.:Convective heat and mass transfer on MHD peristaltic flow of Williamson fluid with the effect of inclined magnetic field. InAIP Conference Proceedings(2016).https://doi.org/10.1063/1.4946512 10.1016/j.icheatmasstransfer.2020.104494 10.1115/1.3424649 10.1016/0094‐4548(82)90049‐2 10.1016/j.padiff.2023.100488 10.1016/j.chemphys.2025.112623 10.1142/s0217984924504499 10.1166/jon.2020.1743 10.1016/j.icheatmasstransfer.2022.106517