Three-Dimensional Mixed Convection Flow of Viscoelastic Fluid with Thermal Radiation and Convective Conditions

Abstract

The objective of present research is to examine the thermal radiation effect in three-dimensional mixed convection flow of viscoelastic fluid. The boundary layer analysis has been discussed for flow by an exponentially stretching surface with convective conditions. The resulting partial differential equations are reduced into a system of nonlinear ordinary differential equations using appropriate transformations. The series solutions are developed through a modern technique known as the homotopy analysis method. The convergent expressions of velocity components and temperature are derived. The solutions obtained are dependent on seven sundry parameters including the viscoelastic parameter, mixed convection parameter, ratio parameter, temperature exponent, Prandtl number, Biot number and radiation parameter. A systematic study is performed to analyze the impacts of these influential parameters on the velocity and temperature, the skin friction coefficients and the local Nusselt number. It is observed that mixed convection parameter in momentum and thermal boundary layers has opposite role. Thermal boundary layer is found to decrease when ratio parameter, Prandtl number and temperature exponent are increased. Local Nusselt number is increasing function of viscoelastic parameter and Biot number. Radiation parameter on the Nusselt number has opposite effects when compared with viscoelastic parameter.

The effect of convective boundary condition on MHD mixed convection boundary layer flow over an exponentially stretching vertical sheet

“…These processes obtain high temperature, which the flow is subjected to the convective boundary condition. Therefore, a number of studies on boundary layer flows with a convective boundary condition, including mixed convection boundary layer flow [20][21][22][23][24][25][26][27] and a stretching sheet [28][29][30][31][32][33][34][35], have been reviewed since then. Motivated by the above researchers, the purpose of this research paper is to develop the system of MHD mixed convection heat transfer of an electrically conducting fluid over an exponentially stretching continuous surface with an exponential temperature distribution.…”

Mixed convection radiative flow of three dimensional Maxwell fluid over an inclined stretching sheet in presence of thermophoresis and convective condition

“…The subclass of differential type fluids have been studied in the past through few attempts. [1][2][3][4][5] However such attempts do not describe the stress relaxation effects. A subclass of rate type fluids namely Maxwell model predicts the relaxation time effects.…”

Mixed convective heat transfer to Sisko fluid over a radially stretching sheet in the presence of convective boundary conditions

“…The analytical solutions are obtained by Hayat et al 12 for the mixed convection flow of a power-law fluid occupying the porous space past a wedge. Hayat et al 13 analyzed the thermal radiation effect in three-dimensional mixed convection flow of viscoelastic fluid while incorporating the convective boundary conditions. Mixed convection flow of MHD Jeffrey nanofluid over a radially stretching surface by employing the convective boundary conditions is studied by Ashraf et al 14 Energy is required for the deformation and flow of materials.…”