# who can suggest references for streamline?

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 September 1, 2001, 13:49 who can suggest references for streamline? #1 jeff Guest   Posts: n/a Hi, can somebody suggest some references where the definition of streamline for 3-D flow can be found? Are there some mathematic definitions for it? Thanks

 September 2, 2001, 10:01 Re: who can suggest references for streamline? #3 jeff Guest   Posts: n/a Thank you, John. In fact, I have already got the streamlines by Tecplot from my computed results. I just wanna present my streamline figures in a mathematical way. And hopefully I can capture some special streamlines during experiments. My idea is I can capture what happens along the streamlines by Laser Doppler Velocimeter (LDV), although I can visulize the streamlines by laser sheet or dying. Then, my question is to get the appropriate definition for streamlines and apply it to the experiments. Thanks for your help. Best regards.

 September 2, 2001, 12:29 Re: who can suggest references for streamline? #4 John C. Chien Guest   Posts: n/a (1). In 2-D, a streamline can be represented by the stream function. (2). But in 3-D, you can only do the streamline tracing for the steady-state flow. In that case, the streamline is tangent to the local velocity vector and you have to give it a starting point. (3).In 3-D, the streamlines distribution can be very complex. It is commonly used to study the flow separation and the secondary flow behavior.

 September 2, 2001, 23:45 Re: who can suggest references for streamline? #5 FYW Guest   Posts: n/a pages 162-164 of Principles of Idean-Fluid Aerodynamics by K. Karamcheti... Krieger Publishing Company, FL, 1980.... it has the generic definition of a streamline without restricting to the particular consideration of a two-dimensional flow, and expressed it in terms of a mathematical relation.

 September 3, 2001, 01:01 Re: who can suggest references for streamline? #6 kt Guest   Posts: n/a Definition: dx/dt = u, dy/dt = v, dz/dt = w Solve x, y, and z and you get you streamline.

 September 3, 2001, 01:01 Re: who can suggest references for streamline? #7 John C. Chien Guest   Posts: n/a (1). In the 1966 version of the book published by John Wiley and Sons, p-162, the equation in vector form is ds x V =0, V is the velocity vector, ds is the tangent vector of the streamline. (2). On p-163, the Cartesian form is (dx/u = dy/v = dz/w). where dx, dy, dz are components of the tangent vector of the streamline, and u, v, w are components of the velocity vector at the same location. (3). It is really very simple. So, keep it handy.

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