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An improved scheme for parabolic flow along a curved rectangular duct

机译:沿弯曲矩形管道的抛物线流动的改进方案

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摘要

The use of parabolized Navier-Stokes (PNS) equations to model internal flow problems has been gaining momentum. The main advantage of using PNS equations to simulate incompressible viscous flows is the suppression of elliptical behavior in the streamwise direction of the flow wherein the governing equations become parabolic in this direction. Thus, these equations are solvable by space-marching techniques, saving considerable storage and computational time. Patankar and Spalding (1972), Briley (1974), Garg (1985), Pouagare and Lakshminarayana (1986) and Govindan and Lakshminarayana (1988) have developed their own scheme to solve the PNS equations for developing flow in straight ducts. Their computations reveal a remarkable agreement with the available experimental data of Sparrow et al. (1967) and Goldstein and Kreid (1967). The potential of PNS equations in predicting laminar flow in a curved circular pipe was tapped by Patankar et al. (1974) using the scheme of Patankar and Spalding (1972). Their predictions show a very satisfactory agreement with the available experimental data of Mori and Nakayama (1965) and Austin (1971) and the theoretical solution of Akiyama and Cheng (1971). Thereafter, a number of investigators has followed the works of Patankar et al. (1974) and even extended the use of PNS equations to developing flow in curved rectangular ducts.
机译:使用抛物线化的Navier-Stokes(PNS)方程来建模内部流动问题的势头正在增强。使用PNS方程模拟不可压缩的粘性流的主要优点是抑制了沿流向的椭圆行为,其中控制方程在该方向上呈抛物线形。因此,这些方程可以通过空间行进技术解决,从而节省了大量的存储和计算时间。 Patankar和Spalding(1972),Briley(1974),Garg(1985),Pouagare和Lakshminarayana(1986)以及Govindan和Lakshminarayana(1988)开发了他们自己的方案来求解用于发展直管内流动的PNS方程。他们的计算表明与Sparrow等人的可用实验数据有着显着的一致性。 (1967)以及Goldstein和Kreid(1967)。 Patankar等人利用PNS方程预测弯曲圆管中的层流的潜力。 (1974)使用Patankar和Spalding(1972)的方案。他们的预测与Mori和Nakayama(1965)和Austin(1971)的可用实验数据以及Akiyama和Cheng(1971)的理论解非常吻合。此后,许多研究人员追踪了Patankar等人的工作。 (1974年)甚至扩展了PNS方程的使用,以开发矩形弯管中的流动。

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    Darus Amer Nordin;

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  • 年度 2008
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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