Engineering and Applied Science Letter

Vol. 2 (2019), Issue 4, pp. 21 – 32
ISSN: 2617-9709 (Online) 2617-9695 (Print)
DOI: 10.30538/psrp-easl2019.0028

A series solution for melting heat transfer characteristics of hybrid Casson fluid under thermal radiation

Emran Khoshrouye Ghiasi, Reza Saleh\(^1\)
Department of Mechanical Engineering, College of Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran.; (E.G & R.S)

\(^{1}\)Corresponding Author: r-saleh@mshdiau.ac.ir; Tel.: +98-51-36625046

Copyright ©2019 Emran Khoshrouye Ghiasi, Reza Saleh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Received: September 29, 2019 – Accepted: October 20, 2019 – Published: December 7, 2019

Abstract

In the present paper, we focus on the melting heat transfer characteristics of Casson fluid involving thermal radiation and viscous dissipation. To this end, the governing partial differential equations (PDEs) are transformed into the ordinary differential equations (ODEs) via the similarity variables. Besides establishing a homotopy-based methodology and its optimization performed in MATHEMATICA package BVPh2.0, the present findings are compared and validated by those available results in the literature. It can be shown that regardless of the variable fluid properties, this methodology predicts the heat transfer rate with and without melting effect at any Prandtl number. Furthermore, it is seen that the velocity distribution is significantly affected by the melting parameter.

Keywords:

Casson fluid, melting effect, optimization, series solution, thermal radiation.