Marangoni mixed convection flow with Joule heating and nonlinear radiation

• Published in: AIP advances Vol. 5; no. 7; pp. 077140 - 077140-15
• Main Authors: Hayat, Tasawar, Shaheen, Uzma, Shafiq, Anum, Alsaedi, Ahmed, Asghar, Saleem
• Format: Journal Article
• Language: English
• Published: Melville American Institute of Physics 01-07-2015; AIP Publishing LLC
• Subjects: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Computational fluid dynamics; CONVECTION; Convection heating; Convective flow; Fluid flow; FLUIDS; INCLINATION; JOULE HEATING; LAYERS; MAGNETIC FIELDS; Magnetic properties; MATHEMATICAL SOLUTIONS; Nonlinear differential equations; Nonlinear equations; NONLINEAR PROBLEMS; NUSSELT NUMBER; Ohmic dissipation; Parameters; PARTIAL DIFFERENTIAL EQUATIONS; PRANDTL NUMBER; Resistance heating; STRATIFICATION; Temperature ratio; THERMAL RADIATION; Thickness; VELOCITY; Velocity distribution; Viscosity
• ISSN: 2158-3226; 2158-3226
• DOI: 10.1063/1.4927209

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.