Homotopy Analysis Method for an Influence of Dufour-Soret and Melting Process on Magnetohydrodynamic Boundary-Layer Flow towards a Wedge in an Eyring Powell Fluid

K B Umadevi; B Patil Mallikarjun

doi:10.17485/IJST/v15i16.2354

Article

Homotopy Analysis Method for an Influence of Dufour-Soret and Melting Process on Magnetohydrodynamic Boundary-Layer Flow towards a Wedge in an Eyring Powell Fluid

VIEWS 1104
PDF 163

Indian Journal of Science and Technology

DOI: 10.17485/IJST/v15i16.2354

Year: 2022, Volume: 15, Issue: 16, Pages: 700-711

Original Article

Homotopy Analysis Method for an Influence of Dufour-Soret and Melting Process on Magnetohydrodynamic Boundary-Layer Flow towards a Wedge in an Eyring Powell Fluid

K B Umadevi¹, B Patil Mallikarjun^1*

¹Department of Studies and Research in Mathematics, Tumkur University, Tumakuru572103, Karnataka, India

*Corresponding Author
Email: [email protected]

Received Date:15 December 2021, Accepted Date:23 February 2022, Published Date:26 April 2022

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: The present study investigates the chemical reaction of first-order and Dufour-Soret impact on the magnetohydrodynamic flow of boundarylayer non-Newtonian Eyring Powell fluid across a wedge by taking into account the radiation and melting process. The motion of the fluid is presumed to be incompressible and laminar. Significantly, the presence of the melting process and Dufour-Soret influence the characteristics of mass and heat transfer of the fluid flow. Methods: The governing equations are constructed and modified into non-linear, coupled ODEs by utilizing similarity variables and then solved by Homotopy Analysis Method (HAM) based BVPh 2.0 Mathematica package. Findings: The velocity, thermal, and concentration profiles are illustrated through graphs and Nusselt number, Sherwood number, and skinfriction coefficient values are shown via tables for varying values of emerging parameters. Results disclosed that the velocity decays with increasing values of fluid parameters (d ;a). It was observed that larger values of Soret parameters (Sr) and Dufour parameter (Dr) increased the concentration and thermal, respectively. It is scrutinized that the velocity suppresses due to extending values of melting parameter (c). Novelty: An incorporation of Soret -Dufour and melting process impact in a non-Newtonian fluid flow across wedge under a magnetic field is novel in the model.

Keywords: Dufour Soret; Eyring Powell fluid; Magnetohydrodynamic; Melting process; Thermal radiation; Wedge

References

Hsu CH, Tsai TH, Chang CC, Huang WH. A boundary layer flow analysis of a magnetohydrodynamic fluid over a shrinking sheet. Advances in Mechanical Engineering. 2019;11(3):168781401983506. Available from: https://dx.doi.org/10.1177/1687814019835069
Ullah H, Khan I, Fiza M, Nawaf N, Hamadneh, Fayz-Al-Asad M, et al. MHD boundary layer flow over a stretching sheet: A New Stochastic Method. Mathematical Problems in Engineering Volume. 2021;p. 1–26. Available from: https://doi.org/10.1155/2021/9924593
Berrehal H. Thermodynamics second law analysis for MHD boundary layer flow and heat transfer caused by a moving wedge. Journal of Mechanical Science and Technology. 2019;33(6):2949–2955. Available from: https://dx.doi.org/10.1007/s12206-019-0542-4
Mahabaleshwar US, Nagaraju KR, Sheremet MA, Kumar PNV, Lorenzini G. Effect of Mass Transfer and MHD Induced Navier’s Slip Flow Due to a non Linear Stretching Sheet. Journal of Engineering Thermophysics. 2019;28(4):578–590. Available from: https://dx.doi.org/10.1134/s1810232819040131
Kumar KA, Sugunamma V, Sandeep N. Influence of viscous dissipation on MHD flow of micropolar fluid over a slendering stretching surface with modified heat flux model. Journal of Thermal Analysis and Calorimetry. 2020;139(6):3661–3674. Available from: https://dx.doi.org/10.1007/s10973-019-08694-8
De P. Soret-Dufour Effects on Unsteady Flow of Convective Eyring-Powell Magneto Nanofluids over a Semi-Infinite Vertical Plate. BioNanoScience. 2019;9(1):7–12. Available from: https://dx.doi.org/10.1007/s12668-018-0583-7
Vafai K, Khan AA, Fatima G, Sait SM, Ellahi R. Dufour, Soret and radiation effects with magnetic dipole on Powell-Eyring fluid flow over a stretching sheet. International Journal of Numerical Methods for Heat & Fluid Flow. 2021;31(4):1085–1103. Available from: https://dx.doi.org/10.1108/hff-06-2020-0328
Alao FI. Soret and Dufour Effects on Heat and Mass Transfer of Boundary Layer Flow over Porous Wedge with Thermal Radiation: Bivariate Spectral Relaxation Method. American Journal of Chemical Engineering. 2019;7(1):7. Available from: https://dx.doi.org/10.11648/j.ajche.20190701.12
Shamshuddin MD, Chamkha AJ, Thumma T, Raju MC. Computation of unsteady MHD mixed convective heat and mass transfer in dissipative reactive micropolar flow considering Soret and Dufour effects. Frontiers in Heat and Mass Transfer. 2018;10:1–15. Available from: https://dx.doi.org/10.5098/hmt.10.15
Sarkar S, Endalew MF. Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium. Boundary Value Problems. 2019;2019(1):1–14. Available from: https://dx.doi.org/10.1186/s13661-019-1157-5
Khan MI, Alzahrani F. Dynamics of viscoelastic fluid conveying nanoparticles over a wedge when bioconvection and melting process are significant. International Communications in Heat and Mass Transfer. 2021;128:105604. Available from: https://dx.doi.org/10.1016/j.icheatmasstransfer.2021.105604
Humane PP, Patil VS, Patil AB. Chemical reaction and thermal radiation effects on magnetohydrodynamics flow of Casson–Williamson nanofluid over a porous stretching surface. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2021;235(6):2008–2018. Available from: https://dx.doi.org/10.1177/09544089211025376
Mahabaleshwar US, Anusha T, Sakanaka PH, Bhattacharyya S. Impact of Inclined Lorentz Force and Schmidt Number on Chemically Reactive Newtonian Fluid Flow on a Stretchable Surface When Stefan Blowing and Thermal Radiation are Significant. Arabian Journal for Science and Engineering. 2021;46(12):12427–12443. Available from: https://dx.doi.org/10.1007/s13369-021-05976-y
Kumar KA, Sugunamma V, Sandeep N. Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet. Journal of Thermal Analysis and Calorimetry. 2020;140(5):2377–2385. Available from: https://dx.doi.org/10.1007/s10973-019-08977-0
Hussain M, Ali A, Ghaffar A, Inc M. Flow and thermal study of MHD Casson fluid past a moving stretching porous wedge. Journal of Thermal Analysis and Calorimetry. 2021. Available from: https://dx.doi.org/10.1007/s10973-021-10983-0
Kumar KA, Ramadevi B, Sugunamma V, Reddy JVR. Heat transfer characteristics on MHD Powell-Eyring fluid flow across a shrinking wedge with non-uniform heat source/sink. Journal of Mechanical Engineering and Sciences. 2019;13(1):4558–4574. Available from: https://dx.doi.org/10.15282/jmes.13.1.2019.15.0385

Copyright

© 2022 Umadevi & Mallikarjun. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Published By Indian Society for Education and Environment (iSee)