Shooting method applied to porous rotating disk: Darcy-Forchheimer flow of nanofluid

Muzamal Hussain, Humaira Sharif, Mohamed A. Khadimallah, Abir Mouldi, Hassen Loukil, Mohamed R. Ali and Abdelouahed Tounsi

Abstract

The characteristics of motile microorganism and three dimensional Darcy-Forchheimer nanofluid flow by a porous rotatable disk with heat generation/absorption is reported. Thermophoretic and Brownian motion aspects are included by utilizing Buongiorno model. Moreover, slip conditions are considered on velocity, thermal, concentration and microorganism. Shooting procedure is implemented to find the numerical results of physical quantities are evaluated parametrically. The different physical parameters like heat sink/source parameter, thermal, Brownian number, thermophoresis parameter, concentration, Peclet number, bioconvected Lewis number, microorganism on concentration and density of motile microorganism distributions is considered. Graphs of concentration and microorganism are plotted to examine the influence of distinct prominent flow parameters.

Key Words

bioconvected Lewis number; heat generation/absorption; microorganism; peclet number; shooting method

Address

Muzamal Hussain and Humaira Sharif: 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, 11942, Saudi Arabia Abir Mouldi: Department of Industrial Engineering, College of Engineering, King Khalid University, Abha – 61421, Kingdom of Saudi Arabia Hassen Loukil: Department of Electrical Engineering, College of Engineering, King Khalid University, Abha – 61421, Saudi Arabia Mohamed R. Ali: Faculty of Engineering and Technology, Future University in Egypt New Cairo 11835, Egypt Basic Engineering Science/ Department, Benha Faculty of Engineering, Benha University, Benha, Egypt Abdelouahed Tounsi: YFL (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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