Use of rotating disk for Darcy-Forchheimer flow of nanofluid; Similarity transformation through porous media

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

Abstract

The basic purpose of the current study is to compute the numerical analysis of heat source/sink for Darcy- Forchheimer three dimensional nanofluid flow with gyrotactic microorganism by rotatable disk via porous media under the slip conditions. Due to nanoparticles, random and thermophoretic motion phenomenon occurs. The governing mathematical model is handled numerically by shooting method. Additionally, the characteristics of velocities, mass, heat, motile microorganisms and associated parameters are thoroughly analyzed via plots and tables. Different physical parameters like Forchheimer number, slip parameters like velocity, porosity parameter, Prandtl number, Brownian number, thermophoresis parameter, heat sink/source parameter, bioconvected Rayleigh number, buoyancy parameteron dimensionless velocities, temperature. Approximate values of Sherwood microorganism are analyzed.

Key Words

dimensionless velocities; shooting method; thermophoresis parameter

Address

Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Humaira Sharif — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Mohamed Amine Khadimallah — Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, 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 — Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj, 16273, Saudi Arabia
S.R. Mahmoud — GRC Department, Applied College, King Abdulaziz University, Jeddah 21589, 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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