Conjugate natural convection flow over a vertical surface with radiation

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• 作者：Sadia Siddiqa ; Md. Anwar Hossain ; Rama Subba Reddy Gorla
• 刊名：Heat and Mass Transfer
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：52
• 期：6
• 页码：1193-1202
• 全文大小：1,115 KB
• 刊物类别：Engineering
• 刊物主题：Engineering Thermodynamics and Transport Phenomena
  Industrial Chemistry and Chemical Engineering
  Thermodynamics
  Physics and Applied Physics in Engineering
  Theoretical and Applied Mechanics
  Engineering Fluid Dynamics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1181
• 卷排序：52

文摘

Numerical study of conjugate natural convection flow over a finite vertical surface with radiation is reported in this article. Rosseland diffusion approximation is used to express the radiative heat flux term. The governing boundary-layer equations are made dimensionless by means of a suitable form of non-similarity transformation. These equations are obtained in three regimes: (1) upstream (when \(\xi \rightarrow 0\)), (2) downstream (when \(\xi \rightarrow \infty \)) and (3) entire regime and are solved numerically. The solutions in the upstream and downstream regimes are obtained via shooting method whereas two-point implicit finite difference method is used to get the solutions for the entire regime. It is seen that asymptotic solutions give accurate results when compared with the numerical solution of the entire regime. The results indicate that the flow field and the temperature distributions are greatly influenced by thermal radiation parameter, \(R_d\), surface temperature parameter, \(\theta _w\) and Prandtl number Pr. It is established from the analysis that recirculation occurs in the flow specifically for \(R_d=1.5\).List of symbols\({a_r}\)Rosseland mean absorption coefficientbThickness of the plategAcceleration due to gravity\({k_s}\)Thermal conductivity of the plate\({k_f}\)Thermal conductivity of the convecting fluidLLength of the platePrPrandtl number\({q_w}\)Wall temperature\({R_d}\)Thermal radiation parameterTTemperature in the convecting fluid\({T_s}\)Temperature in the plate\({T_0}\)Temperature at the outer edge of the plate\({T_w}\)Temperature at the interface between the plate and the convecting fluid\({T_\infty }\)Temperature of the ambient fluidu, vDimensional fluid velocities in the x- and y- direction respectively\({{\hat{u}},{\hat{v}}}\)Dimensionless fluid velocities in the \({\hat{x}}\)- and \({\hat{y}}\)- direction respectivelyx, yDimensional Cartesian coordinates\({{\hat{x}},{\hat{y}}}\)Dimensionless Cartesian coordinates