Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation
Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation
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DOI：
10.1016/j.ijheatmasstransfer.2005.07.049
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发表时间：
2006-02
影响因子：
5.2
通讯作者：
Sujit Kumar Khan
中科院分区：
文献类型：
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作者：
Sujit Kumar Khan
本文研究了非等温多孔板上粘弹性边界层流体流动的边界层传热问题，其中流动是由于板的线性拉伸而产生的，并受到多孔板上流体连续抽吸/吹出的影响。在流动区域中，通过温度相关的热源/散热器、粘性耗散和热辐射来维持热平衡。本文对高度非线性的动量边界层方程和热边界层方程作适当的相似变换，导出了几种以合流超几何（库默）函数和其它初等函数为特殊形式的无量纲温度和热流廓线的封闭解析解。本文对两种常见的边界加热过程，即（i）规定的二次幂律表面温度（PST）和（ii）规定的二次幂律表面热流（PHF），在无量纲粘弹性参数k_（1/2）、Prandtl数Pr、Eckert数E、辐射参数N、吸/吹参数v和源/汇参数β的不同取值下进行了传热分析。本文报道的几个重要发现是：（i）普朗特数Pr、辐射参数N和吸/吹参数vwhas的组合效应对控制通过多孔拉伸片到边界层区域的热传递速率有重要影响;（ii）辐射和抽吸可用作冷却粘弹性边界层流动区域的手段。特殊情况下，我们的结果是在极好的协议与一些现有的工作。
A boundary layer problem on heat transfer in a viscoelastic boundary layer fluid flow over a non-isothermal porous sheet, where the flow is generated due to linear stretching of the sheet and influenced by a continuous suction/blowing of the fluid through the porous boundary, has been presented. In the flow region, heat balance is maintained with a temperature dependent heat source/sink, viscous dissipation and thermal radiation. Applying suitable similarity transformations on the highly non-linear momentum boundary layer equation and thermal boundary layer equation several closed from analytical solutions have been derived for non-dimensional temperature and heat flux profiles in the from of confluent hyper geometric (Kummer’s) functions and other elementary functions as its special form. Heat transfer analysis has been carried out for two general types of boundary heating processes, namely, (i) prescribed quadratic power law surface temperature (PST) and (ii) prescribed quadratic power law surface heat flux (PHF) for various values of non-dimensional viscoelastic parameter k1∗, Prandtl number Pr, Eckert number E, radiation parameter N, suction/blowing parameter vwand source/sink parameter β. Some of the several important findings reported in this paper are (i) the combined effect of Prandtl number Pr, radiation parameter N and suction/blowing parameter vwhas significant impact in controlling the rate of heat transfer to the boundary layer region through the porous stretching sheet and (ii) radiation and suction can be used as means of cooling the viscoelastic boundary layer flow region. Special cases of our results are in excellent agreement with some of the existing work.