Stability analysis for model-based study of nanofluid flow over an exponentially shrinking permeable sheet in presence of slip

This article aims to present the nanofluid flow over an exponentially porous shrinking sheet in the presence of velocity slip and thermal slip. Single-phase fluid model for nanofluid has been used. In this investigation, the effects of silver (Ag) nanoparticle in two different types of base fluids (water and kerosene oil) are investigated. Using similarity transformations, the governing boundary-layer equations and the boundary conditions are reduced to the system of coupled nonlinear ordinary differential equations and then solved numerically with the help of shooting method. Dual solutions exist for some particular range of values of the governing parameters. A stability analysis has been performed to find out the stable solution. A comparison is made between the boundary-layer flow of Ag-water and Ag-kerosene. Impacts of various parameters on velocity, temperature profiles, skin friction coefficient, and Nusselt number are computed and presented in graphs and tables. The fluid velocity and temperature both increase with the increasing nanoparticle volume fraction.