UNSTEADY MHD SLIP FLOW OF RADIATING NANOFLUID THROUGH A POROUS MEDIA DUE TO A SHRINKING SHEET WITH CHEMICAL REACTION AND SORET EFFECT
By
V. K. Jarwal and S. Choudhary
Department of Mathematics, University of Rajasthan, Jaipur, India-302004
E-mail: jarwalvijendrakumar@gmail.com, sumathru11@gmail.com
(Received: May 09, 2022; In format: May 12, 2022; Revised: January 01, 2023; Accepted: January 31, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53101
Abstract
Numerical investigations are performed to analyze heat and mass transfer in MHD (magnetohydro-dynamic) nanofluid flow over a shrinking sheet in the presence of thermal radiation and chemical reaction with Soret effect. The transport equations involve the effect of Brownian motion, Thermophoresis, viscous dissipation, suction/injection, partial slip velocity and thermal slip. Using self suitable transformations, the governing equations are reduced to ordinary differential equations, further these equations are solved numerically using Runge-Kutta fourth order method with shooting technique. This study reveals that the governing parameters, namely, magnetic field parameter, thermal radiation parameter, chemical reaction parameter, velocity slip parameter etc., have major effects on velocity, temperature, concentration, skin friction coefficient and Nusselt number. The study admits that concentration rises with an increase in the Soret number. Numerical results are discussed with the assistance of graphs. The present problem has multiple applications in polymer, chemical and metallurgical industries such as formation of metallic and glass sheets.
2020 Mathematical Sciences Classification: 76D05 ,76D10, 76S05, 76W05, 80A21, 80A32.
Keywords: Nanofluid; MHD flow; Thermal radiation; Viscous dissipation; Chemical reaction; Slip and Convective boundary conditions; Soret effect.