Effect of Inclined Magnetic Field and Heat Transfer in a Walter’s B Fluid over a Stretching Sheet with Elastic Deformation

Article Preview

Abstract:

This article deals with the heat transfer in a Walter’s liquid B fluid through a stretching sheet subject to elastic deformation. We have incorporated the combined effects of aligned magnetic field and viscous dissipation. The effect of viscous dissipation regulating the heat transfer is considered. In addition, prescribed power law surface temperature and prescribed power law surface heat flux boundary conditions are introduced. The transformed non-linear coupled governing equations are solved analytically using hyper geometric function. The effects of various embedded pertinent parameters on velocity and temperature profiles are well discussed with the aid of appropriate graphs and tables. Our results are verified with previously published results of some noteworthy researchers. It is found that the augmenting aligned magnetic field strength reduces the flow velocity and the related momentum boundary layer thickness.

You might also be interested in these eBooks

Info:

Pages:

38-48

Citation:

Online since:

May 2020

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2020 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] A. K. Abdul Hakeem, N. Vishnu Ganesh and 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 Univ. 26 (2014) 168–175.

DOI: 10.1016/j.jksues.2013.05.006

Google Scholar

[2] A. Majeed, T. Javed and S. Shami, Numerical analysis of Walters-B fluid flow and heat transfer over a stretching cylinder, Can. J. Phys. 94 (5) (2016) 522-530.

DOI: 10.1139/cjp-2015-0511

Google Scholar

[3] A. Hussain and A. Ullah, Boundary layer flow of a Walter's B fluid due to a stretching cylinder with temperature dependent viscosity, Alex. Eng. J. 55 (2016) 3073-3080.

DOI: 10.1016/j.aej.2016.07.037

Google Scholar

[4] P. G. Siddheshwar, U. S. Mahabaleshwar and A. Chan., MHD flow of Walter's liquid B over a nonlinearly stretching sheet, Int. J. App. Mech. Eng. 20(3) (2015) 589-603.

DOI: 10.1515/ijame-2015-0038

Google Scholar

[5] O. D. Makinde, M. Gnaneswara Reddy, K. Venugopal Reddy, Effects of thermal radiation on MHD peristaltic motion of Walters-B fluid with heat source and slip conditions, Journal of Applied Fluid Mechanics, 10(4) (2017) 1105-1112.

DOI: 10.18869/acadpub.jafm.73.241.27082

Google Scholar

[6] I. Ullah, S. Shafie, O. D. Makinde, I. Khan, Unsteady MHD Falkner-Skan flow of Casson nanofluid with generative/destructive chemical reaction, Chemical Engineering Science, 172 (2017) 694–706.

DOI: 10.1016/j.ces.2017.07.011

Google Scholar

[7] P. Sharma and R. Saboo, Heat and mass transfer in free convective flow of Walter's liquid model-B through rotating vertical channel, App. Math. Sci. 11 (2017) 1651-1659.

DOI: 10.12988/ams.2017.74144

Google Scholar

[8] T. Hayat, Anum Shafiq, A. Alsaedi and S. Asghar, Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity, AIP ADV. 5 (8) (2015) 087108-15.

DOI: 10.1063/1.4928321

Google Scholar

[9] O.D. Makinde, MHD mixed-convection interaction with thermal radiation and nth order chemical reaction past a vertical porous plate embedded in a porous medium, Chemical Engineering Communications, 198 (4) (2011) 590-608.

DOI: 10.1080/00986445.2010.500151

Google Scholar

[10] P. M. Krishna, N. Sandeep, R. P. Sharma, O.D. Makinde, Thermal radiation effect on 3D slip motion of AlCu-Water and Cu-Water nanofluids over a variable thickness stretched surface, Defect and Diffusion Forum, 377 (2017) 141-154.

DOI: 10.4028/www.scientific.net/ddf.377.141

Google Scholar

[11] M. K. Nayak, Chemical reaction effect on MHD viscoelastic fluid over a stretching sheet through porous medium, Meccanica 51 (2016) 1699-1711.

DOI: 10.1007/s11012-015-0329-3

Google Scholar

[12] M.K. Nayak, MHD 3D flow and heat transfer analysis of nanofluid by shrinking surface inspired by thermal radiation and viscous dissipation, Int. J. Mech. Sci. 124 (2017) 185-193.

DOI: 10.1016/j.ijmecsci.2017.03.014

Google Scholar

[13] M. M. Nandeppanavar, M. Subhas Abel and J. Tawade, Heat transfer in a Walter's liquid B fluid over an impermeable stretching sheet with non-uniform heat source/sink and elastic deformation, Comm. Nonlinear. Sci. Numer. Simulat 15 (2010) 1791–1802.

DOI: 10.1016/j.cnsns.2009.07.009

Google Scholar

[14] A. Gizachew and B. Shankar, MHD flow of non-Newtonian viscoelastic fluid on stretching sheet with the effect of slip velocity, Int. J. Eng. Manu. Sci. 8(1) (2018) 1-14.

Google Scholar

[15] O.D. Makinde, A. Ogulu, The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field, Chem. Eng. Commn. 195 (12) (2008) 1575–1584.

DOI: 10.1080/00986440802115549

Google Scholar

[16] M. Turkyilmazoglu, Analytic heat and mass transfer of the mixed hydrodynamic thermal slip MHD viscous flow over a stretching sheet. Int. J. Mech. Sci. 53 (2011) 886-896.

DOI: 10.1016/j.ijmecsci.2011.07.012

Google Scholar

[17] M.K. Nayak, G.C. Dash, L.P. Singh, Steady MHD flow and heat transfer of a third grade fluid in wire coating analysis with temperature dependent viscosity, Int. J. Heat Mass Transf. 79 (2014) 1087–1095.

DOI: 10.1016/j.ijheatmasstransfer.2014.08.057

Google Scholar