# Green's theorem or divergence theorem?

 Register Blogs Members List Search Today's Posts Mark Forums Read November 30, 2011, 16:11 Green's theorem or divergence theorem? #1 New Member   Join Date: Jul 2010 Posts: 10 Rep Power: 14 Hi, I want to calculate the total flux but I'm not sure if I have to use Green's theorem (2D) or the divergence theorem (3D). The equation below is a modified Reynolds equation describing the air flow in the clearance of porous air bearing. P is the pressure in the clearance of the air bearing, P' is the pressure in the porous media. However, at Z=1 P' must be equal to P for continuity. This equation can be rewritten using the divergence vector operation: Solving this equation with a numerical method (i.e. finite difference) can be done by first simplifying the equation with Green's theorem for flux or the divergence theorem. Because I'm interested in the flow in the - Y direction I want to solve the equation applying Green's theorem (2D). However, in the first equation there is also a gradient in the Z-direction namely . So my question is: Can I calculate the flux with Green's theorem or do I have to use the divergence theorem because of the pressure gradient in the Z-direction?  Thread Tools Search this Thread Show Printable Version Email this Page Search this Thread: Advanced Search Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is OffTrackbacks are Off Pingbacks are On Refbacks are On Forum Rules Similar Threads Thread Thread Starter Forum Replies Last Post cris FLUENT 3 September 4, 2014 18:06 MY FLUENT 3 January 11, 2014 04:46 SamCanuck FLUENT 2 August 31, 2011 11:34 peter.zhao Main CFD Forum 3 October 11, 2004 08:54 Maciej Matyka Main CFD Forum 2 December 19, 2000 10:43

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