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- W2383191036 abstract "Under Cartesian coordinates,the Navier-Stokes equation describing incompressible flow in a square duct exists singular points.Considering the fully developed laminar flow in the square duct,the momentum equation conservation and the influence regions of the singular points have been analyzed numerically in this paper.The numerical results reveal that when pressure gradient in mean flow direction is assumed constant,the velocity distribution obtained by the simplified Navier-Stokes equation can't satisfy the momentum equation at the four corners of the square duct and in their some certain neighboring regions on cross section.On the other hand,by using the three-dimensional numerical method of pressure-correction equation derived from the continuity equation,the constant pressure gradient in main flow direction can be obtained,but velocity distribution also can't satisfy the momentum equation at the four corners of the square duct and in their some certain neighboring regions on cross section.Furthermore,the influence regions of the singular points are mainly in the certain neighboring regions of the four corners,and their influence is fairly remarkable on the wall surface in these regions.Thus,to obtain the reasonable solution in physics,it is absolutely necessary to adopt special treatment on these singular points in the computational process." @default.
- W2383191036 created "2016-06-24" @default.
- W2383191036 creator A5027390683 @default.
- W2383191036 date "2009-01-01" @default.
- W2383191036 modified "2023-09-28" @default.
- W2383191036 title "Analysis of Singular Points and Their Influence Regions of Navier-stokes Equation Describing Incompressible Flow in Square Duct under Cartesian Coordinates" @default.
- W2383191036 hasPublicationYear "2009" @default.
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