Exact Solutions for Unsteady Mixed Convection Flow of Nanoliquid with Exponential Heat Source: Bruggeman and Batchelor Nanofluid Model

The objective of this paper is to explore the influence of exponential heat source and radiative heat on the thermal and mass transport of nanofluid flow over a vertical sheet. Unlike traditional nanofluid models, the Bruggeman and Batchelor models are utilized to estimate the thermal conductivity and dynamic viscosity of the nanofluid. The water-based copper nanoliquid is considered. Mass flux boundary condition is employed. The governed differential problem is solved by Laplace Transform Method (LTM) for exact solutions. The impact of dimensionless sundry parameters on flow distributions is analyzed and bestowed graphically. The rate of heat transfer has been assessed. Also, the slope of the linear regression line through data points is determined in order to quantify increase/decrease in the Nusselt number. Results exhibited that all the flow fields (velocity and temperature) are increasing functions of thermal and solutal Grashof numbers. Also, the presence of exponential heat source highly affects the heat transfer performance.