Rheology of hydro-magnetic polymeric material with heat generation/absorption and chemical reaction
By: M. Awais, S. E. Awan, S. Irum, M. Shoaib, H. Ali and M. A. Z. Raja
Open Access
|Dec 2020Abstract
In the present work, the mathematical modeling, transformation and analysis are presented to investigate the magnetohydrodynamic (MHD) flow of a polymeric liquid, i.e., Maxwell fluidic model, over an absorptive wall encapsulated in a medium having porosity. The system model in the form of partial differential equations (PDEs) for fluid flow is converted to a corresponding ordinary differential equations (ODEs) based system through introduction of dimensionless quantities with the help of appropriate similarity transformation procedures. The velocity, temperature and concentration profiles of the system are calculated for variations in different prominent physical parameters for upper convected Maxwell (UCM) model including combined influences of energy, transfer of mass together with chemical reception and heat generation or absorption as well as Sherwood number, Nusselt number and Deborah number. Lie group analysis is carried out for the nonlinear governing equations and the absolute invariants are found properly. Numerical, as well as analytical computing techniques with homotopy analysis method (HAM) are utilized to verify and validate the correctness of the approximate solutions for the coupled system. Analysis of the results with exhaustive interpretation for each numerical and graphical illustrations further endorsed the effectiveness and worth of the solvers. The trend of fluid flow in terms of streamlines is also presented to show the difference elaboratively between hydromagnetic and hydrodynamic flow situations.
DOI: https://doi.org/10.4038/jnsfsr.v48i4.9638 | Journal eISSN: 2362-0161
Language: English
Page range: 397 - 407
Published on: Dec 31, 2020
Published by: National Science Foundation of Sri Lanka
In partnership with: Paradigm Publishing Services
© 2020 M. Awais, S. E. Awan, S. Irum, M. Shoaib, H. Ali, M. A. Z. Raja, published by National Science Foundation of Sri Lanka
This work is licensed under the Creative Commons License.