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Title: Marangoni mixed convection flow with Joule heating and nonlinear radiation

Marangoni mixed convective flow of Casson fluid in a thermally stratified medium is addressed. Flow analysis has been carried out in presence of inclined magnetic field. Heat transfer analysis is discussed in the presence of viscous dissipation, Joule heating and nonlinear thermal radiation. The governing nonlinear partial differential equations are first converted into ordinary differential systems and then developed the convergent series solutions. Flow pattern with the influence of pertinent parameters namely the magnetic parameter, Casson fluid parameter, temperature ratio parameter, stratification parameter, Prandtl number, Eckert number and radiation parameter is investigated. Expression of local Nusselt number is computed and analyzed. It is found that the Nusselt number decreases by increasing magnetic parameter, temperature ratio parameter, angle of inclination and stratification parameter. Moreover the effect of buoyancy parameter on the velocity distribution is opposite in both the opposing and assisting flow phenomena. Thermal field and associated layer thickness are enhanced for larger radiation parameter.
Authors:
 [1] ;  [2] ; ;  [1] ;  [3] ;  [4]
  1. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000 (Pakistan)
  2. (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589 (Saudi Arabia)
  3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589 (Saudi Arabia)
  4. Comsats Institute of Information Technology, Islamabad 44000 (Pakistan)
Publication Date:
OSTI Identifier:
22493951
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Advances; Journal Volume: 5; Journal Issue: 7; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONVECTION; FLUIDS; INCLINATION; JOULE HEATING; LAYERS; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; NUSSELT NUMBER; PARTIAL DIFFERENTIAL EQUATIONS; PRANDTL NUMBER; STRATIFICATION; THERMAL RADIATION; VELOCITY