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# Rheology of hydro-magnetic polymeric material with heat generation/absorption and chemical reaction

#### M. Awais,

##### COMSATS University Islamabad, Attock Campus, PK
Department of Mathematics

#### S. E. Awan,

##### COMSATS University Islamabad, Attock Campus, PK
Department of Electrical and Computer Engineering

#### S. Irum,

##### COMSATS University Islamabad, Attock Campus, PK
Department of Mathematics

#### M. Shoaib,

##### COMSATS University Islamabad, Attock Campus, PK
Department of Mathematics

#### H. Ali,

##### University of Technology Nowshera Pakistan, PK
Department of Electrical Engineering Technology

#### M. A. Z. Raja

##### COMSATS University Islamabad, Attock Campus, PK
Department of Electrical and Computer Engineering

## Abstract

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.
##### Keywords: Heat generation/absorption, Lie group analysis, Magnetic field effects, Polymeric liquid
How to Cite: Awais, M., Awan, S.E., Irum, S., Shoaib, M., Ali, H. and Raja, M.A.Z., 2020. Rheology of hydro-magnetic polymeric material with heat generation/absorption and chemical reaction. Journal of the National Science Foundation of Sri Lanka, 48(4), pp.397–407. DOI: http://doi.org/10.4038/jnsfsr.v48i4.9638
Published on 31 Dec 2020.
Peer Reviewed