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首页> 外文期刊>Journal of Fluids Engineering: Transactions of the ASME >Boundary-Layer Flow and Heat Transfer of Nanofluid Over a Vertical Plate With Convective Surface Boundary Condition
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Boundary-Layer Flow and Heat Transfer of Nanofluid Over a Vertical Plate With Convective Surface Boundary Condition

机译：具有对流表面边界条件的垂直板上纳米流体的边界层流动和传热

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摘要

The problem of boundary layer flow and heat transfer induced due to nanofluid over a vertical plate is investigated. The transport equations employed in the analysis include the effect of Brownian motion and thermophoresis. We used a convective heating boundary condition instead of a widely employed thermal conduction of constant temperature or constant heat flux. The solution for the temperature and nanoparticle concentration depends on six parameters, viz., convective heating parameter A, Prandtl number Pr, Lewis number Le, Brownian motion Nb, buoyancy ratio parameter Nr, and the thermophoresis parameter Nt. Similarity transformation is used to convert the governing nonlinear boundary-layer equations into coupled higher order ordinary differential equations. These equations were solved numerically using Runge-Kutta fourth order method with shooting technique. The effects of the governing parameters on flow field and heat transfer characteristics were obtained and discussed. Numerical results are obtained for velocity, temperature, and concentration distribution as well as the local Nusselt number and Sherwood number. It is found that the local Nusselt number and Sherwood number increase with an increase in convective parameter A and Lewis number Le. Likewise, the local Sherwood number increases with an increase in both A and Le. A comparison with the previous study available in literature has been done and we found an excellent agreement with them.
机译：研究了由于纳米流体在垂直板上引起的边界层流动和传热问题。分析中使用的传输方程包括布朗运动和热泳的影响。我们使用对流加热边界条件，而不是广泛采用的恒定温度或恒定热通量的热传导。温度和纳米粒子浓度的解决方案取决于六个参数，即对流加热参数A，普朗特数Pr，路易斯数Le，布朗运动Nb，浮力比参数Nr和热泳参数Nt。使用相似变换将控制的非线性边界层方程转换为耦合的高阶常微分方程。这些方程使用Runge-Kutta四阶方法和射击技术进行数值求解。获得并讨论了控制参数对流场和传热特性的影响。获得了速度，温度和浓度分布以及局部Nusselt数和Sherwood数的数值结果。发现对流参数A和刘易斯数Le随局部Nusselt数和Sherwood数的增加而增加。同样，当地的舍伍德数随着A和Le的增加而增加。与文献中已有的研究进行了比较，我们发现与他们的研究非常吻合。

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