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首页> 外文期刊>Applied Mechanics and Engineering >FLOW AND HEAT TRANSFER OF A QUADRATIC STRETCHING SHEET IN A BOUSSINESQ-STOKES SUSPENSION
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FLOW AND HEAT TRANSFER OF A QUADRATIC STRETCHING SHEET IN A BOUSSINESQ-STOKES SUSPENSION

机译:玻色斯克斯托克斯悬架中二次拉伸板的流动和传热。

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摘要

An analysis is carried out to study the flow and heat transfer in a couple stress fluid over a stretching sheet. The velocity of the sheet is taken as a quadratic polynomial of the distance from the sheet. This results in the manifestation of augmentation of flow in the direction transverse to the sheet. An analytical expression is obtained for velocity components as a function of the couple stress parameter and stretching related parameters. The heat transfer characteristic of a Boussinesq-Stokes suspension over a continuous stretching surface with internal heat generation/absorption is analyzed. Two cases are studied, namely (i) the sheet with prescribed surface temperature (PST-case) and (ii) the sheet with prescribed heat flux (PHF-case). The basic boundary layer equations for momentum and heat transfer, which are non-linear partial differential equations, are converted into non-linear ordinary differential equations by means of similarity transformation. The resulting non-linear differential equation is solved exactly. The solution and heat transfer characteristics are obtained in terms of Kummer's functions. The results have possible technological applications in the liquid-based systems involving stretchable materials.
机译:进行分析以研究拉伸板上的一对应力流体中的流动和传热。片的速度被视为距片的距离的二次多项式。这导致在垂直于片材的方向上流动增加的表现。获得了速度分量的解析表达式,该表达式是耦合应力参数和拉伸相关参数的函数。分析了具有内部热量产生/吸收的连续拉伸表面上的Boussinesq-Stokes悬浮液的传热特性。研究了两种情况,即(i)具有规定表面温度的板材(PST情况)和(ii)具有规定热通量的板材(PHF情况)。动量和传热的基本边界层方程是非线性偏微分方程,通过相似变换转换为非线性常微分方程。由此产生的非线性微分方程被精确求解。根据库默函数获得溶液和传热特性。结果在涉及可拉伸材料的液体基系统中具有可能的技术应用。

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