The impact of aligned magnetic field on Walters Liquid $B$ fluid over a stretching surface with Rosseland diffusion approximation

S. Munirathinam; C. Ragavan; R. Kalaivanan

doi:10.26637/MJM0603/0030

Abstract

In the present article, we have investigated the influence of inclined magnetic field on Walter's Liquid B fluid flow through stretching sheet. Elastic deformation and Rosseland diffusion approximation for radiative heat flux are considered. With the help of similarity transformation the flow and energy equations are solved analytically by using confluent hypergeometric method. Results for various physical parameters are presented through graphs. It's also noted that the increasing values of elastic deformation parameter increase the local Nusselt number.

Keywords:

Elastic Deformation, Rosseland Diffusion, Inclined magnetic field, Walter’s Liquid B, Viscoelastic

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S. Munirathinam Department of Mathematics, Sri Vidya Mandir Arts and Science College, Krishnagiri-636 902, Tamil Nadu, India.
C. Ragavan Department of Mathematics, Sri Vidya Mandir Arts and Science College, Krishnagiri-636 902, Tamil Nadu, India.
R. Kalaivanan Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641 020, India.

Pages: 658-663
Date Published: 01-07-2018
Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

A.K. Abdul Hakeem, N. Vishnu Ganesh, B Ganga, Effect of heat radiation in a Walter's liquid B fluid over a stretching sheet with non-uniform heat source/sink and elastic deformation, J.King Saud Uni.-Eng. Sci., 26 (2) (2014) 168-175. DOI: https://doi.org/10.1016/j.jksues.2013.05.006

A. Hussain, A. Ullah, Boundary layer flow of a Walter's B fluid due to a stretching cylinder with temperature dependent viscosity, Alexandria Eng. J., 55(4) (2016) 3073-3080. DOI: https://doi.org/10.1016/j.aej.2016.07.037

A. Majeed, T. Javed, S. Shami, Numerical analysis of Walters-B fluid flow and heat transfer over a stretching cylinder, Canadian J. Phy., 94(5) (2016) 522-530. DOI: https://doi.org/10.1139/cjp-2015-0511

P.G. Siddheshwar, U.S. Mahabaleshwar, A. Chan, MHD Flow Of Walters' Liquid B Over A Nonlinearly Stretching Sheet, Int. J. Appl. Mech. Eng., 20(3) (2015) 589-603. DOI: https://doi.org/10.1515/ijame-2015-0038

A.K. Hakeem, R. Kalaivanan, B. Ganga, N. Vishnu Ganesh, Elastic Deformation Effects on Heat and Mass Fluxes of Second Grade Nanofluid Slip Flow Controlled by Aligned Lorentz Force, J. of Nanofluids, 7 (2) (2018), 325-337. DOI: https://doi.org/10.1166/jon.2018.1449

M. Sheikholeslami, M.M Rashidi, D.D. Ganji, Effect of non-uniform magnetic field on forced convection heat transfer of Fe3O4-water nanofluid, Comp. Meth. Appl. Mech. Eng., 294 (2015) 299-312. DOI: https://doi.org/10.1016/j.cma.2015.06.010

S.Jena, G.C.Dash, S.R.Mishra, Chemical reaction effect on MHD viscoelastic fluid flow over a vertical stretching sheet with heat source/sink,Ain Shams Eng. J., https://doi.org/10.1016/j.asej.2016.06.014 DOI: https://doi.org/10.1016/j.asej.2016.06.014

T. Hayat, H. Zahir, A. Tanveer, A. Alsaedi, Soret and Dufour effects on MHD peristaltic flow of Prandtl fluid in a rotating channel, Results in Physics, 8 (2018) 12911300 . DOI: https://doi.org/10.1016/j.rinp.2018.01.058

T. Muhammad, T. Hayat, S. A. Shehzad, A. Alsaedi, Viscous dissipation and Joule heating effects in MHD 3D flow with heat and mass fluxes, Results in Physics, 8 ( 2018) 365-371. DOI: https://doi.org/10.1016/j.rinp.2017.12.047

Y. S. Daniel, Z. A. Aziz, Z. Ismai, F. Salah, Thermal stratification effects on MHD radiative flow of nanofluid over nonlinear stretching sheet with variable thickness, $J$. Comp. Design Eng., 5(2) (2018) 232-242. DOI: https://doi.org/10.1016/j.jcde.2017.09.001

M.M. Rashidi, S. Bagheri, E. Momoniat, N. Freidoonimehr, Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet,Ain Shams Eng. J., 8 (1) (2017), 77-85. DOI: https://doi.org/10.1016/j.asej.2015.08.012

M.M. Rahman, Heat transfer in $mathrm{Fe}_3 mathrm{O}_4-mathrm{H}_2 mathrm{O}$ nanofluid contained in a triangular cavity under a sloping magnetic field, SQU J. for Sci., 23(1) (2018), 56-67. DOI: https://doi.org/10.24200/squjs.vol23iss1pp56-67

M. Turkyilmazoglu, Analytic heat and mass transfer of the mixed hydro-dynamic/ thermal slip MHD viscous flow over a stretching sheet, Int. J. Mech. Sci., 53 (2011), 886-896. DOI: https://doi.org/10.1016/j.ijmecsci.2011.07.012

A.K. Hakeem, R. Kalaivanan, N. Vishnu Ganesh, B. Ganga, Effect of partial slip on hydromagnetic flow over a porous stretching sheet with non-uniform heat source/sink, thermal radiation and wall mass transfer, Ain Shams Eng. J., 5 (3)(2014), 913-922. DOI: https://doi.org/10.1016/j.asej.2014.02.006

M. Sheikholeslami, Hari R. Kataria, Akhil S. Mittal, Effect of thermal diffusion and heat-generation on MHD nanofluid flow past an oscillating vertical plate through porous medium, J. Molecular Liq., 257 (2018), 12-25. DOI: https://doi.org/10.1016/j.molliq.2018.02.079