Steady-state transport phenomena on induced magnetic field modeling for convective chemically reacting fluid with viscous dissipative heat

Ahmed, S; Beg, OA

Abstract

Closed form solutions are presented for the steady magnetohydrodynamic (MHD) buoyancydriven convection flow, heat and mass transfer from a semi-infinite vertical surface with wall transpiration, first order chemical reaction, viscous heating, Ohmic heating and magnetic induction effects. Magnetic Reynolds number is large enough to permit the inclusion of magnetic induction effects. The governing boundary layer equations with physically pertinent boundary conditions are normalized and solved using a power-series method. The effects of Eckert number (Ec), Hartmann number (M), magnetic Prandtl number (Prm), chemical reaction parameter (K), Schmidt number, thermal Grashof number and Prandtl number (Pr) on velocity, current density, magnetic induction field and temperature gradient are studied graphically and in tables. An increase in Eckert number is found to strongly enhance magnetic induction values. Current density is decreased with magnetic Prandtl number. Velocity is reduced with Hartmann number but enhanced with magnetic Prandtl number. Progressively weaker destructive chemical reaction (K) lowers wall temperature gradient. Applications of the study arise in thermal plasma reactor modelling, electromagnetic induction calorimetry of reactive metallic liquids, and magnetohydrodynamic transport phenomena in chromatographic systems and magnetic field control of materials processing.

Citation

Ahmed, S., & Beg, O. (in press). Steady-state transport phenomena on induced magnetic field modeling for convective chemically reacting fluid with viscous dissipative heat. Heat Transfer Research, https://doi.org/10.1615/HeatTransRes.2016008487

• Journal Article Type: Article
• Acceptance Date: Sep 30, 2016
• Deposit Date: Oct 6, 2016
• Journal: Heat Transfer Research
• Print ISSN: 1064-2285
• Electronic ISSN: 2162-6561
• Publisher: Begell House
• DOI: https://doi.org/10.1615/HeatTransRes.2016008487
• Publisher URL: http://www.begellhouse.com/journals/46784ef93dddff27