Lubrication phenomenon in the stagnation point flow of Walters-B nanofluid

Muhammad Taj , Manzoor Ahmad , Mohamed A. Khadimallah , Saima Akram , Muzamal Hussain , Madeeha Tahir , Faisal Mehmood Butt , Abdelouahed Tounsi

Abstract

The present study investigates the effects of Cattaneo-Christov thermal effects of stagnation point in Walters-B nanofluid flow through lubrication of power-law fluid by taking the slip at the interfacial condition. For the solution, the governing partial differential equation is transformed into a series of non-linear ordinary differential equations. With the help of hybrid homotopy analysis method; that consists of both the homotopy analysis and shooting method these equations can be solved. The influence of different involved constraints on quantities of interest are sketched and discussed. The viscoelastic parameter, slip parameters on velocity component and temperature are analyzed. The velocity varies by increase in viscoelastic parameter in the presence of slip parameter. The slip on the surface has major effect and mask the effect of stagnation point for whole slip condition and throughout the surface velocity remained same. Matched the present solution with previously published data and observed good agreement. It can be seen that the slip effects dominates the effects of free stream and for the large values of viscoelastic parameter the temperature as well as the concentration profile both decreases.

Key Words

hybrid HAM method; lubrication; nanoparticles; Walters-B fluid

Address

"
(1) Muhammad Taj, Manzoor Ahmad — Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan
(2) Mohamed A. Khadimallah — Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
(3) Saima Akram, Madeeha Tahir — Department of Mathematics, Govt. College Women University, Faisalabad, Faisalabad 38000, Pakistan
(4) Saima Akram — Center for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University Multan, 60000, Pakistan
(5) Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, Faisalabad 38000, Pakistan
(6) Faisal Mehmood Butt — Department of Electrical Engineering, University of Azad Jammu and Kashmir Muzaffarabad, Pakistan
(7) Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
(8) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia."

PDF Viewer

Preview is limited to the first 3 pages. Sign in to access the full PDF.

← Back to Volume 15, No. 5