Adomain computation of radiative-convective bi-directional stretching flow of a magnetic non-Newtonian fluid in porous media with homogeneous-heterogeneous reactions

Mishra, SR; Shamshuddin, MD; Beg, OA; Kadir, A

Abstract

In the present communication, laminar, incompressible, hydromagnetic flow of
an electrically conducting non-Newtonian (Sisko) fluid over a bi-directional stretching sheet in
a porous medium is studied theoretically. Thermal radiation flux, homogeneous-heterogeneous
chemical reactions and convective wall heating are included in the model. Darcy’s model is
employed for the porous medium and Rosseland’s model for radiation heat transfer. The
governing partial differential equations for mass, momentum, energy and concentration are
reduced into ordinary differential equations via similarity transformations. The resultant
nonlinear ordinary differential equations with transformed boundary conditions are then solved
via the semi-analytical Adomain decomposition method (ADM). Validation with earlier studies
is included for the non-radiative case. Extensive visualization of velocity, temperature and
species concentration distributions for various emerging parameters is included. Increasing
magnetic field and inverse permeability parameter are observed to decelerate both the primary
and secondary velocity magnitudes whereas they increase temperatures in the regime.
Increasing sheet stretching ratio weakly accelerates the primary flow throughout the boundary
layer whereas it more dramatically accelerates the secondary flow near sheet surface.
Temperature is consistently reduced with increasing stretching sheet ratio whereas it is strongly
enhanced with greater radiative parameter. With greater Sisko non-Newtonian power-law
index the primary velocity and temperature are decreased whereas the secondary velocity is
increased. Increasing both homogenous and heterogenous chemical reaction parameters is
found to weakly and more strongly, respectively, deplete concentration magnitudes whereas
greater Schmidt number enhances them. Primary and secondary skin friction and Nusselt
number profiles are also computed. The study is relevant to electro-conductive (magnetic
polymer) materials processing operations.

Citation

Mishra, S., Shamshuddin, M., Beg, O., & Kadir, A. (2020). Adomain computation of radiative-convective bi-directional stretching flow of a magnetic non-Newtonian fluid in porous media with homogeneous-heterogeneous reactions. International Journal of Modern Physics B, 34(18), 2050165. https://doi.org/10.1142/S0217979220501659

• Journal Article Type: Article
• Acceptance Date: Apr 22, 2020
• Online Publication Date: Jul 24, 2020
• Publication Date: Jul 24, 2020
• Deposit Date: May 20, 2020
• Publicly Available Date: Jul 24, 2021
• Journal: International Journal of Modern Physics B
• Print ISSN: 0217-9792
• Electronic ISSN: 1793-6578
• Publisher: World Scientific Publishing
• Volume: 34
• Issue: 18
• Pages: 2050165
• DOI: https://doi.org/10.1142/S0217979220501659
• Publisher URL: https://doi.org/10.1142/S0217979220501659
• Related Public URLs: https://www-worldscientific-com.salford.idm.oclc.org/worldscinet/ijmpb
• Additional Information: Access Information : Electronic version of an article published as International Journal of Modern Physics B, Volume 34, Issue 18, 2020, pp. 2050165 https://doi.org/10.1142/S0217979220501659 © World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijmpb