Conjugate Heat Transfer of MHD non-Darcy Mixed Convection Flow of a Nanofluid over a Vertical Slender Hollow Cylinder Embedded in Porous Media

Abstract

In this paper, conjugate heat transfer of magneto hydrodynamic mixed convection of nanofluid about a vertical slender hollow cylinder embedded in a porous medium with high porosity have been numerically studied. The Forchheimer’s modification of Darcy’s law was used in representing the nanofluid motion inside the porous media. The governing boundary layer equations were transformed to non-dimensional differential equations by taking suitable similarity variables and solved numerically using differential quadrature method (DQM). The interfacial (solid-liquid) temperature distribution and the variations of velocity and temperature within boundary layer for different values of governing parameter in presence of uniform magnetic field have been presented and discussed. Our results demonstrate that heat transfer rate can enhance using nanofluid as well as porous medium, while magnetic field has no remarkable effect on the parameter. The computed results were also compared with those available in the existing literature and a good agreement was observed.

Keywords

• Conjugate heat transfer
• differential quadrature method (DQM)
• Magneto hydrodynamic (MHD)
• MHD-mixed convection
• Nanofluid