Mixed Convection-Radiation in Power-Law Fluids Along a NOn-Isothermal Wedge in a Porous Medium with Variable Permeability

Abstract

A boundary layer analysis has been presented for the interaction of mixed convection with thermal radiation in laminar boundary flow from a vertical wedge in a porous medium saturated with a power-law type non-Newtonian incorporating the variation of permeability and thermal conductivity. The transformed conservation laws are solved numerically for the case of variable surface temperature conditions. The combined convection non-similar parameterwe note that v ¼ 0 and 1 correspond to pure free and forced convection cases. The Rosseland approximation is used to describe the radiative heat flux in energy equation. Velocity and temperature profiles as well as the local Nusselt number are presented.

Mixed convection Flow Along a Horizontal Permeable Lpate in Porous Medium With Variable Permeability-Surface Temperature And Concentration (English)

“…It will be assumed that the permeability and porosity of the porous medium vary exponentially from the surface due to packing of particles next to the surface [14,[16][17][18][19].…”

“…Where  K and   are the permeability and porosity at the edge of the boundary layer, respectively. d and  d are constants, whose values are taken 3.0 and 1.5 [14,[16][17][18][19]],…”

“…is the local Rayleigh number, and the parameter  is the nonsimilarity mixed-convection parameter. such that equation 9and e  are purely function of  only [19]. By substituting equations (14) and 15…”

“…The numerical scheme to solve equations (16)(17)(18) adopted here is based on a combination of the following concepts [23]…”

Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field

“…In fluid dynamics, thermal radiation is important for aerospace, chemical, environmental, solar power, and in engineering. Effects of radiation on non-Newtonian fluids have been studied by many researchers Mansour and Gorla [15], Raptis [16], Sajid M and Hayat T [17], Sahoo and Poncet [18]. Free or natural convection is of fundamental interest in many industrial and environmental situations such as air conditioning systems, atmospheric flows, motors, thermal regulation process, cooling of electronic devices, and security of energy systems.…”