Numerical calculations for bioconvection MHD Casson nanofluid flow: Study of Brownian motion

Muzamal Hussain , Humaira Sharif , Mohamed Amine Khadimallah , Hamdi Ayed , Essam Mohammed Banoqitah , Hassen Loukil , Imam Ali , S.R. Mahmoud , Abdelouahed Tounsi

Abstract

In this paper, the non-linear mathematical problem is solved via numerical scheme by utilizing shooting method. Brownian diffusion and thermophoresis along mass and heat transfer are accounted for. Non-linear expression is reduced via non-dimensional variables. The simplified ordinary differential equations are tackled by shooting technique. Behavior of distinct influential parameters is investigated graphically and analyzed for temperature and concentration profile. Our finding indicates that temperature profile is enhanced for the thermophoresis, Brownian motion coefficient, Prandtl number, Eckert number and temperature slip parameter. Comparison of numerical technique with the extant literature is made and an acceptable agreement is attained. Graphs are plotted to examine the influence of these parameters.

Key Words

Brownian motion coefficient; Eckert number; Prandtl number; shooting method; temperature slip parameter

Address

Muzamal Hussain, Humaira Sharif — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Mohamed Amine Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia
Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Kingdom of Saudi Arabia; Higher Institute of Transport and Logistics of Sousse, University Sousse, Tunisia
Essam Mohammed Banoqitah — Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, P.O.Box 80204, Jeddah 21589, Saudi Arabia
Hassen Loukil — Department of Electrical Engineering, College of Engineering, King Khalid University, Abha, 61421, Saudi Arabia
Imam Ali — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia
S.R. Mahmoud — GRC Department, Faculty of Applied Studies, King Abdulaziz University, Jeddah, Saudi Arabia
Abdelouahed Tounsi — FL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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