Flow of a micropolar fluid due to a porous stretching sheet and heat transfer

• The flow of non-Newtonian micropolar fluid flowing over porous stretching bodies is investigated.
• Exact analytical solutions are presented to represent the microrotation, velocity and temperature fields.
• The constant wall temperature, constant heat flux and Newtonian heating are resolved.
• Solutions are proved to be unique for the whole collection of physical parameters considered.
• Closed-form expressions for the skin friction coefficient, couple stress coefficient and Nusselt number are also obtained.

The present work investigates the micropolar fluid flow due to a permeable stretching sheet and the resulting heat transfer. Unlike the existing numerical works on the flow phenomenon in the literature, the prime interest here is to analytically work out shape of the solutions and identify whether they are unique. Indeed, unique solutions are detected and presented in the exact formulas for the associated boundary layer equations. Temperature field influenced by the microrotation is also mathematically resolved in the cases of constant wall temperature, constant heat flux and Newtonian heating. To discover the salient physical features of many mechanisms acting on the considered problem, it is adequate to have the analytical velocity and temperature fields and also closed-form skin friction/couple stress/heat transfer coefficients, all as given in the current paper. For instance, the practically significant rate of heat transfer is represented by a single formula valid for all three temperature cases.