Numerical simulation of heat transport in Maxwell nanofluid flow over a stretching sheet considering magnetic dipole effect

Abstract

Sequel to the fact that nanofluids exhibit greater thermal resistance and noting the applications of non-Newtonian (Maxwell) liquid flow on a stretching sheet with suspended nanoparticles TC4 (Ti-6Al-4 V), the current mathematical model is designed by considering the influence of magnetic dipole. The heat transfer in a two-dimensional flow of Maxwell nanoliquid over a stretching sheet is carried out by means of Cattaneo–Christov model. The base liquid (Engine oil) with suspended TC4 (Ti-6Al-4 V) nanoparticles are considered in the study. By using suitable similarity transformations, the flow and energy equations of the flow model are converted into ordinary differential equations (ODEs). Further, the resulting transformed equations are then numerically solved by using shooting technique with Runge–Kutta Fehlberg fourth–fifth order method (RKF-45). The significant findings of the current model are that the Newtonian liquid shows better thermal performance for rise in values of volume fraction and ferromagnetic interaction parameter as compared to Maxwell fluid. The upsurge in values of volume fraction and thermal relaxation parameter improves the rate of heat transfer and skin friction coefficient.