The investigation of Magnetohydrodynamic nanofluid flow with Arrhenius energy activation

Humaira Sharif , Mohamed A. Khadimallah , Muhammad Nawaz Naeem , Muzamal Hussain1 , S.R. Mahmoud , K.S.Al-Basyouni , Abdelouahed Tounsi

Abstract

In this article, an analytically and numerically 3D nanoliquid flow by a porous rotatable disk is presented in the presence of gyrotactic microorganisms. The mathematical model in the form of partial differential system is transmuted into dimensionless form by utilizing the appropriate transformation. The homotopy analysis approach is applied to attain the analytic solution of the problem. The effect of promising parameters on velocity distribution, temperature profile, nanoparticles volume fraction and motile microorganism distribution field are evaluated through graphs and in tabular form. The existence of Brownian motion and thermophoresis impacts are more proficient for heat transfer enhancement. Further the unique features like heat absorption/generation and energy activation are also examined for the present flow problem. The obtained results are compared with the earliear investigation to check the accuracy of present model.

Key Words

nanoparticles; rotating disk; Arrhenius energy activation; bio-convection; MHD; HAM

Address

Humaira Sharif, Muhammad Nawaz Naeem and Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Mohamed A. Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 16273, Saudi Arabia/ Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
S.R. Mahmoud — GRC Department, Faculty of Applied studies, King Abdulaziz University, Jeddah, Saudi Arabia
K.S.Al-Basyouni — Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea/ 7Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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