Authors:
Kamal Debnath,Debasish Dey,Rupjyoti Borah,DOI NO:
https://doi.org/10.26782/jmcms.2020.05.00006Keywords:
MHD,Power-law fluid,Soret Effect (thermophoresis),Dufoureffect (diffusion thermo),thermal and mass transfer,Abstract
An effort has been prepared numerically to investigate thermophoresis and diffusion thermo effects on liquid motion past a permeable surface. Motion is managed by the constitutive equation of power law fluid model. External forces appeared in the flow system are Lorentz force due to external magnetic field, buoyancy force. Similarity transformation has been utilized in the methodology part and MATLAB built in bvp4c solver scheme has been adopted to carry out the numerical solutions. Impacts of flow parameters on flow characteristics have been outlined by figures and diagrams.Refference:
I. Acrious, A., Shah, M.J., Peterson E.E., “Momentum and heat transfer in laminar boundary layer flow on non-newtonian fluids past external surfaces”, AIChE Journal. vol. 6, pp: 312–316, 1960.
II. Andersson, H.I., Bech, K.H. and Dandapat, B.S., “Magnetohydrodynamic flow of a power law fluid over a stretching sheet”, International Journal of Non-Linear Mechanics. vol. 72, pp: 929–936, 1992
III. Aziz, A., Ali, Y., Aziz, T. and Siddique, J., “Heat Transfer analysis for stationary boundary layer slip flow of a power low fluid in a Darcy porous medium with plate suction/injection”, PLoS ONE. Vol.10 (9), doi:10.1371/journal.pone.0138855, 2015
IV. Cheng, C.Y., “Soret and Dufour effects on mixed convection heat and mass transfer from a vertical wedge in a porous medium with constant wall temperature and concentration”, Transport in Porous Media. vol. 94, pp: 123–32, 2012.
V. Dey, D., “Non-Newtonian effects on hydromagnetic dusty stratified fluid flow through a porous medium with volume fraction”, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 86(1), pp: 47-56, 2016.
VI. Hirschhorn J., Madsen M., Mastroberardino A. and Siddique J.I., “Magnetohydrodynamic boundary layer slip flow and heat transfer of power-law fluid over a flat plate”, Journal of Applied Fluid Mechanics, 9(1), pp: 11-17, 2016.
VII. Huang, C.J. and Yih, K.A., “Heat and Mass Transfer on the Mixed Convection of non-Newtonian fluids over a vertical wedge with Soret/Dufour effects and Internal Heat Generation: Variable wall Temperature/Concentration”, Transport in Porous Media. vol.130, pp: 559-576, 2019.
VIII. Jafarimughaddam, A. and Aberoumand, S., “Exact approximations for skin friction coefficient and convective heat transfer coefficient for a class of power-law fluids flow over a semi-infinite plate: Results from similarity solution”, Engineering Science and Technology: an International Journal. vol. 20(3), pp: 1115-1121, 2016.
IX. Lee, S.Y., Ames, W.F., “Similar solutions for non-Newtonian fluids”, AIChE Journal. vol. 12, pp: 700–708, 1960.
X. Saritha, K., Rajasekhar, M.N. and Reddy, B.S. “Combined effects of soret and dufour on mhd flow of a Power-law fluid over flat plate in slip flow regime”, International Journal of Applied Mechanics and Engineering. vol. 23(3), pp: 689-705, 2018
XI. Schowalter, W.R., “The application of boundary layer theory to power law pseudo plastic fluids: similar solutions”, AIChE Journal. vol. 6(1), pp: 24-28, 1960.
XII. Sharma, B.K., Gupta, S., Vamsikrishna, V. and Bhargavi, R.J., “Soret and Dufour effects on an unsteady MHD mixed convective flow past an infinite vertical plate with Ohmic dissipation and heat source”, AfrikaMathematika, vol. 25, pp. 799–821, 2014.
XIII. Shateyi, S., Motsa, S.S. and Sibanda, P., “The effects of thermal radiation, Hall currents, Soret and Dufour on MHD flow by mixed convection over a vertical surface in porous media”, Mathematical Problems in Engineering, Article ID 627475, 2010
XIV. Tai, B.C. and Char, I.M. “Soret and Dufour effects on free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium with thermal radiation”, International Communications in Heat and Mass Transfer. vol. 37, pp. 480-483, 2010
XV. Zhang, H., Kang, Y., and Xu, T., “Study on Heat Transfer of non-Newtonian Power-law fluid in pipes with different cross sections”, Procedia Engineering. vol. 205, pp. 3381-3388, 2017.