Heat transfer analysis of the MHD stagnation-point flow of third-grade fluid over a porous sheet with thermal radiation effect: An algorithmic approach

Author:

Ali Amjad1,Bukhari Zainab1,Amjad Muhammad2,Ahmad Sohail1,Jamshed Wasim3,El Din Sayed M.4

Affiliation:

1. Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakariya University , Multan 60800 , Pakistan

2. Department of Mathematics, COMSATS University Islamabad Vehari Campus , 63100, Islamabad , Pakistan

3. Department of Mathematics, Capital University of Science & Technology , Islamabad , Pakistan

4. Center of Research, Faculty of Engineering, Future University in Egypt , New Cairo 11835 , Egypt

Abstract

Abstract The present article aims to investigate the impacts of the thermal radiation and Lorentz force on the stagnation-point flow of third-grade liquid over a porous stretching sheet with suction. The governing equations are transformed using the similarity transformation. The resulting system of ordinary differential equations is solved using a “so-called” hybrid algorithm based on the finite difference method and the shooting method. The influence of the emerging parameters on the velocity and temperature profiles is analyzed. The results are shown in graphical and tabular forms. For the third-grade liquid flow, the velocity profile shows an inciting trend toward the Hartman number (magnetic parameter). The temperature profile shows a declining trend toward the Prandtl number and suction velocity, whereas an inciting trend towards the radiation parameter.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

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