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Network modelling of unsteady natural convection flow over a vertical plate submitted to surface temperature oscillation

机译:经受表面温度振荡的垂直板上非定常自然对流流动的网络模型

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Purpose - The unsteady natural convection flow of a viscous dissipative fluid along a semi-infiniternvertical plate subjected to periodic surface temperature oscillation is investigated.rnDesign/methodology/approach - An electrical-network model based on the Network SimulationrnMethod is developed to solve the governing equations. The accuracy and effectiveness of the methodrnare demonstrated.rnFindings - The increasing of the viscous dissipation and the decreasing in the Prandtl number lead torna decrease in Nusselt number and an increase in the local skin-friction. Also, it is found that thernoscillations of the Nusselt number and of the local skin-friction depend on the frequency and amplitudernof the oscillating surface temperature. For Pr = 1,000 and e = 0.005 (realistic case) the effect of thernviscous dissipation is appreciable at large distances from the leading edge.rnResearch limitations/implications - The inclusion of viscous dissipation in the energy equation,rnexcept of the theoretical interest, has applications in very special cases, for example, gases at very lowrntemperature and also for high Prandtl number liquids.rnOriginality/value - The influence of the non-uniformity of wall temperature on the heat transfer byrnnatural convection along of the plate together with the viscous dissipation of the fluid are analysed byrnmeans of a new numerical technique based on the electrical analogy.
机译:目的-粘性耗散流体沿着半无限垂直板的周期性表面温度振荡的非稳态自然对流流动。设计/方法/方法-建立基于网络仿真方法的电网模型以求解控制方程。结果表明:该方法的准确性和有效性。研究发现-粘性耗散的增加和Prandtl数的减少导致Torna的Nusselt数减少以及局部皮肤摩擦的增加。而且,发现努塞尔数和局部皮肤摩擦的颤动取决于振荡表面温度的频率和幅度。对于Pr = 1,000和e = 0.005(实际情况),在距前沿很远的距离处,粘滞耗散的影响是可观的。研究限制/含义-能量方程中包括粘性耗散,除了理论上的意义外,都有应用在非常特殊的情况下,例如,温度非常低的气体,以及高普朗特数的液体。原始值/值-壁温不均匀性对板沿自然对流的热传递以及玻璃的粘性耗散的影响在电气模拟的基础上,通过一种新的数值技术对流体进行了分析。

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