NUMERICAL SOLUTIONS FOR THE THIN FILM HYBRID NANOFLUID FLOW AND HEAT TRANSFER OVER AN UNSTEADY STRETCHING SHEET

Abstract

This paper explores the mathematical model of thin-film flow and heat transfer utilizing hybrid nanofluid along with the two-dimensional time dependent stretching sheet. The influence of several parameters towards the model are discussed and solved by the method of collocation, namely bvp4c solver that can find in MATLAB software. In this paper, we focused on the effect of parameters are unsteadiness parameter λ, thermocapillarity number M, constant mass transfer parameter S, and concentration of    towards the model.  The numerical results have been obtained and shown in table and graph form. The effect of thermocapillarity number M and concentration of  are explored and graphically portrayed through the velocity, temperature and concentration profile.