Lie group analysis of flow and heat transfer of non-Newtonian nanofluid over a stretching surface with convective boundary condition

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• 作者：AHMED A AFIFY ; MOHAMED ABD EL-AZIZ
• 关键词：Lie group analysis ; boundary layer ; nanofluid ; non ; Newtonian power ; law fluid ; variable viscosity ; convective boundary conditions
• 刊名：Pramana
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：88
• 期：2
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astronomy, Observations and Techniques; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0973-7111
• 卷排序：88

文摘

The steady two-dimensional flow and heat transfer of a non-Newtonian power-law nanofluid over a stretching surface under convective boundary conditions and temperature-dependent fluid viscosity has been numerically investigated. The power-law rheology is adopted to describe non-Newtonian characteristics of the flow. Four different types of nanoparticles, namely copper (Cu), silver (Ag), alumina (Al ₂O₃) and titanium oxide (TiO ₂) are considered by using sodium alginate (SA) as the base non-Newtonian fluid. Lie symmetry group transformations are used to convert the boundary layer equations into non-linear ordinary differential equations. The transformed equations are solved numerically by using a shooting method with fourth-order Runge–Kutta integration scheme. The results show that the effect of viscosity on the heat transfer rate is remarkable only for relatively strong convective heating. Moreover, the skin friction coefficient and the rate of heat transfer increase with an increase in Biot number.