Articles | Volume 9, issue 1
https://doi.org/10.5194/ms-9-61-2018
https://doi.org/10.5194/ms-9-61-2018
Research article
 | 
14 Feb 2018
Research article |  | 14 Feb 2018

Heat transfer and MHD flow of non-newtonian Maxwell fluid through a parallel plate channel: analytical and numerical solution

Alireza Rahbari, Morteza Abbasi, Iman Rahimipetroudi, Bengt Sundén, Davood Domiri Ganji, and Mehdi Gholami

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Cited articles

Abbasi, M. and Rahimipetroudi, I.: Analytical solution of an upper- convective Maxwell fluid in porous channel with slip at the boundaries by using the Homotopy Perturbation Method, IJNDES, 5, 7–17, 2013. 
Abbasi, M., Ganji, D. D., Rahimipetroudi, I., and Khaki, M.: Comparative Analysis of MHD Boundary-Layer Flow of Viscoelastic Fluid in Permeable Channel with Slip Boundaries by using HAM, VIM, HPM, Walailak, J. Sci. Technol., 11, 551–567, 2014. 
Abbasi, M., Khaki, M., Rahbari, A., Ganji, D. D., and Rahimipetroudi, I.: Analysis of MHD flow characteristics of an UCM viscoelastic flow in a permeable channel under slip conditions, J. Braz. Soc. Mech. Sci. Eng., 38, 977–988, 2016. 
Abel, M. S., Tawade, J. V., and Nandeppanavar, M. M.: MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet, Meccanica, 47, 385–393, 2012. 
Adegbie, K. S., Omowaye, A.J., Disu, A. B., and Animasaun, I. L.: Heat and Mass Transfer of Upper Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Horizontal Melting Surface, Appl. Math., 6, 1362–1379, 2015. 
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Short summary
Analytical and numerical analyses have been performed to study the problem of magneto-hydrodynamic (MHD) flow and heat transfer of an upper-convected Maxwell fluid in a parallel plate channel. The Homotopy Analysis Method (HAM), Homotopy Perturbation Method (HPM) and fourth-order Runge-Kutta numerical method (NUM) are used to solve this problem. Also, velocity and temperature fields have been computed and shown graphically for various values of the important physical parameters.