Energy effects on MHD flow of Eyring

Humaira Sharif , Muhammad N. Naeem , Mohamed A. Khadimallah , Hamdi Ayed , Souhail Mohamed Bouzgarrou , Abdullah F. Al Naim , Sajjad Hussain , Muzamal Hussain , Zafar Iqbal , Abdelouahed Tounsi

Abstract

The impulse of this paper is to examine the influence of unsteady flow comprising of Eyring-Powell nanofluid over a stretched surface. This work aims to explore efficient transfer of heat in Eyring-Powell nanofluid with bio-convection. Nanofluids possess significant features that have aroused various investigators because of their utilization in industrial and nanotechnology. The influence of including motile microorganism is to stabilize the nanoparticle suspensions develop by the mixed influence of magnetic field and buoyancy force. This research paper reveals the detailed information about the linearly compressed Magnetohydrodynamics boundary layer flux of two dimensional Eyring-Powell nanofluid through disposed surface area due to the existence of microorganism with inclusion the influence of non- linear thermal radiation, energy activation and bio-convection. The liquid is likely to allow conduction and thickness of the liquid is supposed to show variation exponentially. By using appropriate similarity type transforms, the nonlinear PDE's are converted into dimensionless ODE's. The results of ODE's are finally concluded by employing (HAM) Homotopy Analysis approach. The influence of relevant parameters on concentration, temperature, velocity and motile microorganism density are studied by the use of graphs and tables. We acquire skin friction, local Nusselt and motil microorganism number for various parameters.

Key Words

Eyring-Powell nanofluid; variable viscosity; thermal radiation; activation energy; motile micro-organism; Homotopy analysis

Address

Humaira Sharif — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Muhammad N. Naeem — 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; Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
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
Souhail Mohamed Bouzgarrou — Civil Engineering Department, Faculty of Engineering, Jazan University, Kingdom of Saudi Arabia
Abdullah F. Al Naim — Department of Physics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Sajjad Hussain — Department of mathematics, Government Post graduate College, Layyah, Pakistan
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Zafar Iqbal — Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan; Department of Mathematics, University of Mianwali, Punjab, Pakistan
Abdelouahed Tounsi — Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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