Thin film Maxwell-Power Law Fluid Flow on an extending surface

Abstract

In this research article, the examination is done on film flow of two-dimensional fluid along with transfer of heat in a magnetic field on an unsteady extending sheet. To gain the appropriate outputs for the flow efficiency and rate of transfer of heat, the Power law fluids are mixed with the viscoelastic fluids which reduce the viscosity of the fluids. The heat transfer rate is further improved with the inclusion of nanoparticles. The flow and heat transmission characteristics of a Maxwell, Power-law-model-fluid along with Joule absorption and changeable liquid sheet thickness are examined. The combined model of the two non-Newtonian fluids also incorporated the nanofluid's influence. To create the coupled comparable ordinary differential equations (ODEs) that the homotopy analytical method (HAM) along with appropriate similarity transformations are used. Impacts of variations of different significant factors like and number of fluid flow of fluid film with the transfer of heat are perceived. The influence of the unsteadiness factor on a thin film is discovered analytically for various estimations. Despite this, the implanted factors utilized for understanding the physical demonstration, like magnetic factor , inertial parameter , Eckert number , penetrability factor , Prandtl number Pr and Deborah number have been offered by graphs and deliberated in detail.