Thin-film flow of Carreau fluid over a stretching surface including the couple stress and uniform magnetic field

Partial Differential Equations in Applied Mathematics

Taza Gul¹  Muhammad Bilal²  Muhammad Rehman²  Amir Khan²  Anwar Saeed³ 

[1] Corresponding author.;City University of Science and Information Technology, Peshawar, 25000, KP, Pakistan;Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Pakistan;

关键词: Nanoliquid thin film;    Couple stress;    Carreau fluid;    Heat transition;    Stretching sheet;    Homotopy Analysis Method;   

DOI  :  

来源: DOAJ

【 摘 要 】

In the present analysis, the thin film flow of Carreau fluid under the consequences of uniform magnetic field over an extending substrate has been addressed. Marangoni convection and couple stress has been also considered to find the fine point of the flow. The intention behind this work is to enhance the energy and mass transmission rate over a stretching sheet. The phenomena have been modeled in the form of system of PDEs, which are reduced to dimensionless system of ODEs through the similarity approach. The results are obtained via analytical framework homotopy analysis method (HAM). The behavior of velocity, energy and mass transmission profile has been disclosed through Figures and Tables. It has been perceived that the fluid velocity declines with the improvement of magnetic field, Marangoni parameter, unsteadiness term, thin film parameter, Weissenberg number We2and couple stress parameter K. The thermal energy transmission rate enhances with the consequences of thermophoresis term and Brownian motion factor, while reduces with the effect of Prandtl number.

【 授权许可】

Unknown