Heat transfer

Materials science

Convective heat transfer

Boundary value problem

Differential equation

Matrix similarity

Fluid dynamics

Thermodynamics

Boundary layer

Physics

Shooting method

Mathematics

Flow (mathematics)

Mathematical analysis

Ordinary differential equation

Partial differential equation

Mechanics

Convection

Case Studies in Thermal Engineering

The free convective micropolar fluid over a shrinking sheet in presence of heat source/sink has been studied in this paper. The method of solution involves similarity transformation. The coupled non-linear partial differential equations representing momentum and concentration and non homogeneous heat equation are reduced into set of non-linear ordinary differential equations. The transformed equations are solved by applying Runge-Kutta method followed by shooting technique. The effect of pertinent parameters characterizing the flow has been presented through the graphs and then discussed. It is found that heat source has significant effect on velocity profile and causes a decrease in the boundary layer. Angular velocity profile increases with the increasing value of material parameter. Present study showed an excellent agreement with published literature.

Free convective micropolar fluid flow and heat transfer over a shrinking sheet with heat source