Analytical solutions of channel and duct flows due to general pressure gradients

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• 作者：Yongho Lee ^{lee3a4@erau.edu}
• 关键词：Exact solution ; Navier&ndash ; Stokes equation ; Arbitrary pressure gradient ; Unsteady flow
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：43
• 期：Complete
• 页码：279-286
• 全文大小：587 K
• 卷排序：43

文摘

New analytical closed-form solutions of unsteady incompressible Navier–Stokes equations. Valid for any pressure gradients (even aperiodic discontinuous) in both planar and circular duct flows. Encompassing the classic solutions obtained individually for a few simple pressure gradients. Involving no singularities, and applicable even to discrete forms of pressure gradients. Useful in validating numerical solutions and predicting the time required for steady oscillation.