Application of PEST and PEHF in magneto-Williamson nanofluid depending on the suction/injection

Case Studies in Thermal Engineering

Awatef Abidi¹  Ahmed M. Galal²  M. Riaz Khan³  Saim Rasheed⁴  Rashid Ali⁵ 

[1] Corresponding author.;Research Laboratory of Metrology and Energy Systems, National Engineering School, Energy Engineering Department, Monastir University, Monastir City, Tunisia;LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, School of Mathematical Science, University of Chinese Academy of Sciences, Beijing, 100190, PR China;Physics Department, College of Sciences Abha, King Khalid University, Saudi Arabia;School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, PR China;

关键词: Williamson fluid;    HAM;    Exponential stretching;    Magnetohydrodynamic (MHD);    Suction/injection;   

DOI  :  

来源: DOAJ

【 摘 要 】

This article investigates the flow properties of two-dimensional steady incompressible Williamson nanofluid moving over a stretched exponential surface with the features of both suction/injections. The coupled boundary conditions introduce the influence of thermophoresis boundary as well as the Brownian motion. The assessment of heat transfer is conducted for the two conditions of prescribed exponential order heat flux (PEHF) and prescribed exponential order surface temperature (PEST). The fundamental laws of heat transfer and motion have been implemented mathematically to model the existing flow situations. The non-dimensional variables have been assigned to put the main equations of the current problem into a dimensionless ordinary differential equation (ODEs). This dimensionless system of nonlinear ODEs has been solved on the basis of Homotopy analysis method (HAM). The results under various flow parameters have been graphically plotted in the form of temperature, velocity, and concentration profiles. The three profiles correspondingly modify for the increase in suction/injection parameter, thermophoresis parameter, and Lewis number both in PEST and PEHF case. Moreover, the escalation in the values of Brownian motion parameter, and the thermophoresis parameter respectively causes to enhance and decline the temperature and concentration profile only in case of PEST whereas a respective drop and development is detected in case of PEHF.

【 授权许可】

Unknown