Buongiorno’s Nanofluid Model over a Curved Exponentially Stretching Surface

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卷:7

MuhammadYousaf Malik¹  Sohail Nadeem²  Nadeem Abbas²  Adel Alblawi³ 

[1] Department of Mathematics, College of Sciences, PO Box 9004, King Khalid University, Abha 61413, Saudi Arabia;

[2] Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;

[3] Mechanical Engineering Department, College of Engineering, Shaqra University, Dawadmi, P.O. 11911, Ar Riyadh 11564, Saudi Arabia;

关键词: buongiorno’s model;    thermal slip effects;    exponential stretching;    numerical technique;    curved channel;   

DOI  :  10.3390/pr7100665

来源: DOAJ

【 摘 要 】

We considered the steady flow of Buongiorno’s model over a permeable exponentially stretching channel. The mathematical model was constructed with the assumptions on curved channels. After applying the boundary layer approximation on the Navier−Stocks equation, we produced nonlinear partial differential equations. These equations were converted into a system of non-dimensional ordinary differential equations through an appropriate similarity transformation. The dimensionless forms of the coupled ordinary differential equations were elucidated numerically through boundary value problem fourth order method. This method gains fast convergence as compared to other method such as the shooting method and the Numerical Solution of Differential Equations Mathematica method. The influence of the governing parameters which are involved in ordinary differential equations are highlighted through graphs while $R{e}_s^{1/2}{C}_f$ , $R{e}_s^{1/2}{N}_{u_s}$ , and $R{e}_s^{-1/2}S{h}_s$ are highlighted through the tables. Our interest of study was to analyze the heat transfer rate of nanofluids. Surprisingly, for momentum boundary layer thickness, thermal boundary layer thickness and solutal boundary layer thickness became larger when $\lambda >0$ , as compared to the case when $\lambda <0$ .

【 授权许可】

Unknown