Analysis of Thermally Radiative Flow of Casson Nanofluid Past a Convectively Heated Stretching Sheet Influenced by Magnetic Field and Suction

  • Vivek Kumar Department of Mathematics, National Institute of Technology, Kurukshetra, India-136119.
  • Paras Ram Department of Mathematics, National Institute of Technology, Kurukshetra, India-136119

Abstract

This study focuses on modelling and analysing the heat transfer phenomenon of a magnetohydrodynamic (MHD) Casson fluid across a convectively heated surface that stretched exponentially, considering the impacts of heat absorption, suction, and thermal radiation. Here, the convective boundary condition is employed in place of a constant heat flow at the sheet. A self-similar approach is utilised in order to solve the momentum and energy equations that are responsible for controlling the system. The resultant nonlinear problem is solved using an explicit formula that is derived from the Homotopy Analysis Method (HAM), unlike earlier analytical methods (ADM, HPM, etc.), and numerically by employing the bvp4c strategy in Matlab, which is a collocation approach that uses the Lobatto 3-stage FDM algorithm. The obtained explicit and numerical solutions are in remarkable agreement with the findings that have previously been published in the relevant literature. Furthermore, the influence of different fluid variables on the temperature and velocity curves are elaborated through graphs. Besides, a tabular analysis of the surface friction and heat transfer rate is also provided in comparison to relevant fluid parameters.

Published
2024-05-24