Theoretical fabrication of Williamson nanoliquid over a stretchable surface

Humaira Sharif , Muzamal Hussain , Mohamed Amine Khadimallah , Hamdi Ayed , Muhammad Taj , Javed Khan Bhutto , S.R. Mahmoud , Zafer Iqbal , Shabbir Ahmad , Abdelouahed Tounsi

Abstract

On the basis of fabrication, the utilization of nano material in numerous industrial and technological system, obtained the utmost significance in current decade. Therefore, the current investigation presents a theoretical disposition regarding the flow of electric conducting Williamson nanoliquid over a stretchable surface in the presence of the motile microorganism. The impact of thermal radiation and magnetic parameter are incorporated in the energy equation. The concentration field is modified by adding the influence of chemical reaction. Moreover, the splendid features of nanofluid are displayed by utilizing the thermophoresis and Brownian motion aspects. Compatible similarity transformation is imposed on the equations governing the problem to derive the dimensionless ordinary differential equations. The Homotopy analysis method has been implemented to find the analytic solution of the obtained differential equations. The implications of specific parameters on profiles of velocity, temperature, concentration and motile microorganism density are investigated graphically. Moreover, coefficient of skin friction, Nusselt number, Sherwood number and density of motile number are clarified in tabular forms. It is revealed that thermal radiation, thermophoresis and Brownian motion parameters are very effective for improvement of heat transfer. The reported investigation can be used in improving the heat transfer appliances and systems of solar energy.

Key Words

Brownian motion; convective conditions; Homotopy analysis; motile micro-organism; thermal radiation; Williamson nanofluid

Address

(1) Humaira Sharif, Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
(2) Mohamed Amine Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia
(3) Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Kingdom of Saudi Arabia
(4) Hamdi Ayed — Higher Institute of Transport and Logistics of Sousse, University Sousse, Tunisia
(5) Muhammad Taj — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
(6) Javed Khan Bhutto — Electrical Engineering Department, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
(7) S.R. Mahmoud — GRC Department, Faculty of Applied Studies, King Abdulaziz University, Jeddah, Saudi Arabia
(8) Zafer Iqbal — Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan
(9) Zafer Iqbal — Department of Mathematics, University of Mianwali, Punjab, Pakistan
(10) Shabbir Ahmad — Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
(11) Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
(12) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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