Mixed Convection Boundary-Layer Flow Along a Vertical Cylinder Embedded in a Porous Medium Filled by a Nanofluid

被引:0
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作者
Azizah Mohd Rohni
Syakila Ahmad
John H. Merkin
Ioan Pop
机构
[1] Universiti Utara Malaysia,School of Quantitative Sciences
[2] Universiti Sains Malaysia,School of Mathematical Sciences
[3] University of Leeds,Department of Applied Mathematics
[4] Babeş-Bolyai University,Department of Mathematics
来源
Transport in Porous Media | 2013年 / 96卷
关键词
Dual solutions; Mixed convection; Nanofluid; Porous medium; Vertical cylinder;
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学科分类号
摘要
The steady mixed convection boundary-layer flow on a vertical circular cylinder embedded in a porous medium filled by a nanofluid is studied for both cases of a heated and a cooled cylinder. The governing system of partial differential equations is reduced to ordinary differential equations by assuming that the surface temperature of the cylinder and the velocity of the external (inviscid) flow vary linearly with the axial distance x measured from the leading edge. Solutions of the resulting ordinary differential equations for the flow and heat transfer characteristics are evaluated numerically for various values of the governing parameters, namely the nanoparticle volume fraction \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\phi}$$\end{document}, the mixed convection or buoyancy parameter λ and the curvature parameter γ. Results are presented for the specific case of copper nanoparticles. A critical value λc of λ with λc < 0 is found, with the values of | λc| increasing as the curvature parameter γ or nanoparticle volume fraction \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\phi}$$\end{document} is increased. Dual solutions are seen for all values of λ > λc for both aiding, λ > 0 and opposing, λ < 0, flows. Asymptotic solutions are also determined for both the free convection limit \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${(\lambda \gg 1)}$$\end{document} and for large curvature parameter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${(\gamma \gg 1)}$$\end{document}.
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页码:237 / 253
页数:16
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