Lie symmetry analysis and numerical solutions for thermo-solutal chemicallyreacting radiative micropolar flow from an inclined porous surface

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

Abstract

Steady, laminar, incompressible thermo-solutal natural convection flow of micropolar fluid from an inclined
perforated surface with convective boundary conditions is studied. Thermal radiative flux and chemical reaction
effects are included to represent phenomena encountered in high-temperature materials synthesis operations.
Rosseland’s diffusion approximation is used to describe the radiative heat flux in the energy equation. A Lie scaling
group transformation is implemented to derive a self-similar form of the partial differential conservation equations. The resulting coupled nonlinear boundary value problem is solved with Runge-Kutta fourth order numerical
quadrature (shooting technique). Validation of solutions with an optimized Adomian decomposition method algorithm is included. Verification of the accuracy of shooting is also conducted as a particular case of non-reactive micropolar flow from a vertical permeable surface. The evolution of velocity, angular velocity (micro-rotation component), temperature and concentration are examined for a variety of parameters including coupling number, plate inclination angle, suction/injection parameter, radiation-conduction parameter, Biot number and reaction parameter. Numerical results for steady state skin friction coefficient, couple stress coefficient, Nusselt number and Sherwood number are tabulated and discussed. Interesting features of the hydrodynamic, heat and mass transfer characteristics are examined.

Citation

Shamshuddin, M., Mishra, S., Beg, O., & Kadir, A. (2018). Lie symmetry analysis and numerical solutions for thermo-solutal chemicallyreacting radiative micropolar flow from an inclined porous surface. Heat Transfer - Asian Research, 47(7), 918-940. https://doi.org/10.1002/htj.21358

• Journal Article Type: Article
• Acceptance Date: Jun 28, 2018
• Online Publication Date: Jul 17, 2018
• Publication Date: Jul 17, 2018
• Deposit Date: Jul 5, 2018
• Publicly Available Date: Jul 17, 2019
• Journal: Heat Transfer Asian Research
• Print ISSN: 1099-2871
• Electronic ISSN: 1523-1496
• Publisher: Wiley
• Volume: 47
• Issue: 7
• Pages: 918-940
• DOI: https://doi.org/10.1002/htj.21358
• Publisher URL: https://doi.org/10.1002/htj.21358
• Related Public URLs: https://onlinelibrary.wiley.com/journal/15231496