Lie group analysis of MHD slip flow past a stretching surface: Effect of suction/injection

Waheed Iqbal, Mudassar Jalil, Mohamed A. Khadimallah, Hamdi Ayed, Ikram Ahmad, Rana Muhammad Akram Muntazir, Abir Mouldi, Muzamal Hussain, Javeria Umbreen, Essam Mohammed Banoqitah, Ghulam Murtaza, Bazal Fatima, Muhammad Taj and Zafer Iqbal

Abstract

Effects of MHD slip flow of second grade fluid with heat transfer are studied in the presence of heat source along permeable stretching surface. The governing boundary layer equations are complex and partial in nature. Using Lie group theory the suitable similarity transformation is derived. The system of PDEs is transformed to system of ODEs by applying these similarity transformations. The combined effect of Hartman number and porosity on velocity profile and the influence of slip parameter on fluid velocity is observed. It is found that enhancing the second grade parameter, boundary layer thickens and ultimately speedup the fluid. Also, the effect of suction/injection parameter on velocity profile is checked. An excellent agreement is noticed that assures the correctness of results. Effects of various physical parameters on the velocity and temperature profile are elaborated with graphs.

Key Words

boundary value problem; exact solution; permeable surface; MHD flow; second grade fluid

Address

(1) Waheed Iqbal: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan; (2) Mudassar Jalil: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000 Islamabad, Pakistan; (3) Mohamed A. Khadimallah: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia; (4) Hamdi Ayed: Department of Civil Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia; (5) Ikram Ahmad, Javeria Umbreen, Bazal Fatima: Department of Chemistry, University of Sahiwal, Sahiwal, 57000, Pakistan; (6) Rana Muhammad Akram Muntazir: Department of Mathematics, Lahore Leads University, 54792, Lahore, Pakistan; (7) Abir Mouldi: Department of Industrial Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia; (8) Muzamal Hussain, Ghulam Murtaza: Department of Mathematics, University of Sahiwal, Sahiwal, 57000, Pakistan; (9) Essam Mohammed Banoqitah: Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah P.O. Box 80204, Jeddah 21589, Saudi Arabia; (10) Muhammad Taj: Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan; (11) Zafer Iqbal: Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan; (12) Zafer Iqbal: Department of Mathematics, University of Mianwali, Punjab, Pakistan.

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