Open Access

ARTICLE

Computational Analysis of the Effect of Nano Particle Material Motion on Mixed Convection Flow in the Presence of Heat Generation and Absorption

Muhammad Ashraf¹, Amir Abbas¹, Saqib Zia², Yu-Ming Chu^{3, 4}, Ilyas Khan^{5, *}, Kottakkaran Sooppy Nisar⁶

1 Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, 40100, Pakistan.
2 Department of Mathematics, COMSATS University Islamabad, Islamabad, 44000, Pakistan.
3 Department of Mathematics, Huzhou University, Huzhou, 313000, China.
4 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha, 410114, China.
5 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, 72915, Vietnam.
6 Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia.

* Corresponding Author: Ilyas Khan. Email: .

Computers, Materials & Continua 2020, 65(2), 1809-1823. https://doi.org/10.32604/cmc.2020.011404

Received 06 May 2020; Accepted 22 May 2020; Issue published 20 August 2020

Abstract

The present study is concerned with the physical behavior of the combined effect of nano particle material motion and heat generation/absorption due to the effect of different parameters involved in prescribed flow model. The formulation of the flow model is based on basic universal equations of conservation of momentum, energy and mass. The prescribed flow model is converted to non-dimensional form by using suitable scaling. The obtained transformed equations are solved numerically by using finite difference scheme. For the analysis of above said behavior the computed numerical data for fluid velocity, temperature profile, and mass concentration for several constraints that is mixed convection parameter λ_t, modified mixed convection parameter λ_c, Prandtl number Pr, heat generation/absorption parameter δ, Schmidt number Sc, thermophoresis parameter N_t, and thermophoretic coefficient k are sketched in graphical form. Numerical results for skin friction, heat transfer rate and the mass transfer rate are tabulated for various emerging physical parameters. It is reported that in enhancement in heat, generation boosts up the fluid temperature at some positions of the surface of the sphere. As heat absorption parameter is decreased temperature field increases at position X = π/4 on the other hand, no alteration at other considered circumferential positions is noticed.

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