Variable thermal conductivity and thermophoretic aspects of free convection flow of a micropolar fluid due to a permeable cone: Heat source/sink

Abstract

Boundary layer analysis is introduced for providing a numerical treatment of steady state free convection flow of non-Newtonian fluid of micropolar type through an isothermal vertical permeable cone under impacts of variable thermal conductivity and thermophoretic force. Both heat generation or absorption and viscous dissipation are considered. The resulting altered boundary layer flow equations are numerically tackled by the help of the implicit finite difference approach. Two states are addressed: one corresponds to constant thermal conductivity, and the other is variable thermal conductivity. The skin friction, couple stress coefficients fluctuations, and Nusselt number for miscellaneous significant sundry factors are presented graphically and argued. From the calculated outcomes, the coefficient of couple stress reduces for larger values of vortex viscosity parameter R, while the reverse trend is noticed through the surface temperature exponent m factor. Augmentation in thermophoretic factor ω leads to the thermophoretic forces that encapsulates the mass transmission. As a certain case, the system flow equations of a classical Newtonian liquid are gained, by dropping the micropolar factors consequences.