Flow and heat transfer of an exponential stretching sheet in a viscoelastic liquid with Navier slip boundary condition

Viscoelastic boundary layer flow and heat transfer over an exponential stretching continuous sheet have been investigated in this paper. Numerical solution of the highly non-linear momentum equation and heat transfer equation are obtained. Two cases are studied in heat transfer, namely (i) the sheet with prescribed exponential order surface temperature (PEST case) and (ii) the sheet with prescribed exponential order heat flux (PEHF case). The governing coupled, non-linear, partial differential equations are converted into coupled, non-linear, ordinary differential equations by a similarity transformation and are solved numerically using shooting method. The classical explicit Runge-Kutta-Fehlberg 45 method is used to solve the initial value problem by the shooting technique. The effects of various parameters such as viscoelastic parameter, slip parameter, Eckert number and Prandtl number on velocity and temperature profiles are presented and discussed. The results have possible technological applications in the liquid-based systems involving stretchable materials.