In the paper, an analysis is performed to study the effect of temperature dependent viscosity and thermal conductivity of unsteady viscous incompressible boundary layer micropolar fluid flow under mixed convection. The flow past is to be studied over a stretching sheet in presence of viscous dissipation. In the process of study, partial differential equations governing the flow have been transformed into ordinary differential equations in dimensionless form using similarity transformation and solved numerically by using Runge-Kutta shooting method. The effects of various important parameters of the problem concerned like viscosity, thermal conductivity, micro-rotation, unsteadyness of the fluid on velocity and temperature within the boundary layers are obtained. The results are represented graphically. The skin friction, Nusselt numbers are also computed, analysed and given in tabular form.

In the paper, an analysis is performed to study the unsteady behaviour of micropolar fluid under mixed convection and mass transfer. In the process of study, similarity transformational approach has been considered under variable viscosity and thermal conductivity. Governing equations for the problem concerned are developed under prescribed constraints and latter on numerically solved by using Runge-Kutta method. The residual graphs represent various important parameters of the problem, viz., velocity, temperature, microrotation, concentration of the fluid and also considered the effects of Soret and Dufour within the boundary layers and analyzed.