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Mixed convection boundary layer flow from a horizontal circular cylinder in a nanofluid

机译:来自纳米流体中水平圆柱的混合对流边界层流

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Purpose - The purpose of this paper is to study the steady mixed convection boundary layer flow of a nanofluid past a horizontal circular cylinder in a stream flowing vertically upwards for both cases of a heated and cooled cylinder. Design/methodology/approach - The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. This method is very efficient for solving boundary layer problems. Findings - The solutions for the flow and heat transfer characteristics are evaluated numerically for various values of the parameters, namely the nanoparticle volume fraction φ and the mixed convection parameter A at Prandtl number Pr = 1 and 6.2. Three different types of nanoparticles considered are Cu, Al_2O_3 and TiO_2 by using water-based fluid with Pr = 6.2. It is found that for each particular nanoparticle, as the nanoparticle volume fraction increases, the skin friction coefficient and heat transfer rate at the surface also increase, and it also leads to the increment of the value of mixed convection parameter λ which first gives no separation. Research limitations/implications - The results of this paper are valid only up to the value of λ = λ_0 (<0) below which a boundary layer solution does not exist. Practical implications - The results obtained can be used to explain the characteristics and applications of nanofluids, which are widely used as coolants, lubricants, heat exchangers and micro-channel heat sinks. Nanofluids usually contain the nanoparticles such as metals, oxides, or carbon nanotubes, whereby these nanoparticles have unique chemical and physical properties. Originality/value - The results of this paper are important for the researchers working in the area of nanofluids. The paper is well prepared and presented. The results are original, new and important from both theoretical and application point of views.
机译:目的-本文的目的是研究在加热和冷却的两种情况下,纳米流体在垂直向上流动的流体中经过水平圆柱体的稳定混合对流边界层流。设计/方法/方法-使用称为Keller-box方法的隐式有限差分方案,对所得的非线性偏微分方程组进行数值求解。该方法对于解决边界层问题非常有效。发现-对于各种参数值,即Prandtl数Pr = 1和6.2时的纳米颗粒体积分数φ和混合对流参数A,对流动和传热特性的解决方案进行了数值评估。通过使用Pr = 6.2的水基流体,可以考虑使用三种不同类型的纳米颗粒:Cu,Al_2O_3和TiO_2。发现对于每个特定的纳米粒子,随着纳米粒子体积分数的增加,表面的皮肤摩擦系数和传热速率也增加,并且还导致混合对流参数λ的值增加,该对流参数λ首先给出没有分离。研究的局限性/意义-本文的结果仅在λ=λ_0(<0)时有效,在该值以下不存在边界层解决方案。实际意义-所获得的结果可用于解释纳米流体的特性和应用,纳米流体被广泛用作冷却剂,润滑剂,热交换器和微通道散热器。纳米流体通常包含纳米颗粒,例如金属,氧化物或碳纳米管,从而这些纳米颗粒具有独特的化学和物理性质。原创性/价值-本文的结果对从事纳米流体领域的研究人员而言非常重要。论文准备充分并已提交。从理论和应用的角度来看,结果都是新颖,重要的。

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