Influence of thermal radiation and magnetohydrodynamic on the laminar flow: Williamson fluid for velocity profile

Muzamal Hussain , Humaira Sharif , Mohammad Amien Khadimallah , Hamdi Ayed , Abir Mouldi , Muhammad Naeem Mohsin , Sajjad Hussain , Abdelouahed Tounsi

Abstract

Latest advancement in field of fluid dynamics has taken nanofluid under consideration which shows large thermal conductance and enlarges property of heat transformation in fluids. Motivated by this, the key aim of the current investigation scrutinizes the influence of thermal radiation and magnetohydrodynamic on the laminar flow of an incompressible two-dimensional Williamson nanofluid over an inclined surface in the presence of motile microorganism. In addition, the impact of heat absorption/generation and Arrhenius activation energy is also examined. A mathematical modeled is developed which stimulate the physical flow problem. By using the compatible similarities, we transfer the governing PDEs into ODEs. The analytic approach based on Homotopy analysis method is introduced to impose the analytic solution by using Mathematica software. The impacts of distinct pertinent variable on velocity profiles are investigated through graphs.

Key Words

activation energy; bio-convection; inclined surface; thermal radiation; Williamson nanofluid

Address

Muzamal Hussain — Department of Mathematics, University of Sahiwal, Sahiwal, 57000, Sahiwal,Pakistan
Humaira Sharif — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Mohammad Amien Khadimallah — Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
Abir Mouldi — Department of Industrial Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
Muhammad Naeem Mohsin — Institute for Islamic Theological Studies, University of Vienna, Schenkenstrabe 8-10,1010, Vienna, Austria
Sajjad Hussain — Department of mathematics, Government Post graduate college, Layyah, Pakistan
Abdelouahed Tounsi — Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department, Sidi Bel Abbes 22000-Algeria/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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