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ARTICLE

Numerical Treatment of MHD Flow of Casson Nanofluid via Convectively Heated Non-Linear Extending Surface with Viscous Dissipation and Suction/Injection Effects

Hammad Alotaibi^1,*, Saeed Althubiti¹, Mohamed R. Eid^2,3, K. L. Mahny⁴

1 Department of Mathematics, Faculty of Science, Taif University, Taif, 888, Saudi Arabia
2 Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, Al-Wadi Al-Gadid, 72511, Egypt
3 Department of Mathematics, Faculty of Science, Northern Border University, Arar, 1321, Saudi Arabia
4 Sohag Technical Industrial Institute, Ministry of Higher Education, Egyptian Technical College, Sohag, Egypt

* Corresponding Author: Hammad Alotaibi. Email:

Computers, Materials & Continua 2021, 66(1), 229-245. https://doi.org/10.32604/cmc.2020.012234

Received 21 June 2020; Accepted 06 July 2020; Issue published 30 October 2020

Abstract

This paper introduces the effect of heat absorption (generation) and suction (injection) on magnetohydrodynamic (MHD) boundary-layer flow of Casson nanofluid (CNF) via a non-linear stretching surface with the viscous dissipation in two dimensions. By utilizing the similarity transformations, the leading PDEs are transformed into a set of ODEs with adequate boundary conditions and then resolved numerically by (4–5)^th-order Runge-Kutta Fehlberg procedure based on the shooting technique. Numerical computations are carried out by Maple 15 software. With the support of graphs, the impact of dimensionless control parameters on the nanoparticle concentration profiles, the temperature, and the flow velocity are studied. Other parameters of interest, such as the skin friction coeffi- cient, heat, and mass transport at the diverse situation and dependency of various parameters are inspected through tables and graphs. Additionally, it is verified that the numerical computations with the reported earlier studies are in an excellent approval. It is found that the heat and mass transmit rates are enhanced with the increasing values of the power-index and the suction (blowing) parameter, whilst are reduced with the boosting Casson and the heat absorption (generation) parameters. Also, the drag force coefficient is an increasing function of the powerindex and a reduction function of Casson parameter.

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