Thermal boundary layer analysis of nanofluid flow past over a stretching flat plate in different transpiration conditions by using DTM-Pade method

Abstract

In this paper, Differential Transformation Method (DTM) is applied on governing equations of heat and fluid flow for a nanofluid over a horizontal flat plate. After obtaining the governing equations and solving them by DTM, the accuracy of results is examined by fourth order Runge-kutta numerical method. Due to infinite boundary condition for the stretching plate, outcomes need to an improvement method to be converged. For this aim, Padé approximation is applied on the obtained results which [10,10] Padé order had the best accuracy compared to numerical method. The influence of relevant parameters such as the transpiration parameter on temperature and nanoparticle concentration profile is discussed and it is concluded that by increasing this parameter, nanoparticles concentration over the plate decrease due to more fluid penetration from pores and this is the main reason of lower thermal boundary layer caused by fewer nanoparticles over the plate.

MHD Nanofluid boundary layer flow over a stretching sheet with viscous, ohmic dissipation

“…Khashi et al [23] discussed the effect of suction on the MHD flow in a doubly stratified micropolar fluid over a shrinking sheet. Majeed et al [24] predicted the steady thermal boundary layer nanofluid flow was solved by the DTM-Pade approximation technique. Based on his motivation, we have expanded the work of nanoliquid motion with the effects of magnetic, ohmic and viscous dissipation in this problem.…”

“…We made an assumption that the constant temperature was T W > T ∞ and that the constant temperature was C W > C ∞ . The governing equations for the boundary layer, which include momentum, energy, and concentration equations with dissipation effects are as follows [19,24]…”