# Pressure-Inlet Theory Question

 Register Blogs Members List Search Today's Posts Mark Forums Read September 26, 2017, 16:34 Pressure-Inlet Theory Question #1 New Member   Join Date: Nov 2016 Posts: 4 Rep Power: 8 I'm trying to figure out the theory of the pressure-inlet boundary condition. For example, say I have subsonic, incompressible flow, constant temperature, with air being the fluid. If I have a pressure-inlet with some small value of gauge pressure and a pressure outlet of zero gauge pressure with constricting geometry in between, does the area of the inlet play any important role? Think of the simple Venturi tube: For test 1, the inlet is 10 square inches, the restriction is 1 square inch, and the outlet is 10 square inches. For test 2, the inlet is now 100 square inches, the restriction is still 1 square inch, and the outlet is still 10 square inches. Will the flow velocity at the pressure-outlet be the same for test 1 and 2? If so, can this be proven with the Bernoulli equation?   September 26, 2017, 17:31 #2
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Lucky
Join Date: Apr 2011
Location: Orlando, FL USA
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 Originally Posted by klub Will the flow velocity at the pressure-outlet be the same for test 1 and 2? If so, can this be proven with the Bernoulli equation?
If you take the limiting case and take the limit as the inlet/outlet areas tends towards infinity, it necessitates that the velocity tends towards zero at the inlet/outlet. This would suggest that test 1 and test 2 should both have zero velocity, which seems to be a counter-proof by contradiction since you would not have any flow despite a driving pressure difference.   September 26, 2017, 19:32 #3 New Member   Join Date: Nov 2016 Posts: 4 Rep Power: 8 HTML Code: `take the limiting case and take the limit as the inlet/outlet areas tends towards infinity` I think you got us half way there; if we take only the inlet as going to infinity then the inlet velocity becomes zero. So we start off with the Bernoulli equation: p_1 + 1/2*rho*(v_1)^2 = p_2 + 1/2*rho*(v_2)^2 From the original post we know that that p_2 = 0 so we can get rid of that variable. To get rid of v_1, we use A_1*v_1 = constant and if we take A_1 to infinity then v_1 must go to zero. So, we're left with the equation: p_1 = 1/2*rho*(v_2)^2 which shows that A_1 doesn't affect v_2 as long as p_1 stays constant.   September 26, 2017, 19:45 #4 Senior Member   Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,246 Rep Power: 63   I didn't use Bernoulli, only mass conservation and assumed that there is a flow. Of course the no flow case is the degenerate case where nothing matters. You might be surprised to see that it has nothing to do with pressure. A1*V1 = A2*V2 = A3*V3 where 1 is the inlet, 2 is the throat and 3 is the outlet Assuming A2*V2 is finite and non-zero, Taking the limit as A1 or A3 ==> inf implies V1=A2*V2/A1=1/inf=> 0 which contradicts A2*V2 being finite or non-zero. Thus, either there is no-flow (the degenerate case in which there is no contradiction) or infinite flow. Bernoulli's equation assumes you have an isentropic flow along a streamline. If A1=A3 for example, you would conclude that V1=V3 and P1=P3 and that there is no pressure difference, which contradicts P1 being non-zero. Btw, you should consider not the static pressure but the total pressure if you want to see what does or does not change.   September 27, 2017, 15:41 #5 New Member   Join Date: Nov 2016 Posts: 4 Rep Power: 8 So since I'm looking to understand the 'pressure-inlet' boundary condition, as opposed to the 'velocity-inlet' boundary condition, how can it be explained using only mass conservation? Like you said, I have been considering the static pressure component in the Bernoulli equation as constant instead of looking at the whole equation and considering the total pressure as constant. Does Fluent see the 'pressure-inlet' boundary condition as being total pressure or static pressure? Reading through some old posts, I discovered Fluent's odd pressure terminology: static vs. total pressure   September 27, 2017, 17:45 #6 New Member   Join Date: Nov 2016 Posts: 4 Rep Power: 8 Just for the heck of it, I ran a quick simulation comparing two cases: Case 1: Inlet: 10mm dia. Throat: 5mm dia. Outlet: 10mm dia. Case 2: Inlet: 50mm dia. Throat: 5mm dia. Outlet: 10mm dia. Distances between inlet and throat and between throat and outlet were each 100mm. The boundary conditions for each case was the same: Viscous - Standard k-omega Pressure-inlet: 7 lb/ft^2 Pressure-outlet: 0 lb/ft^2 Solution Method: Coupled, Second Order Upwind Convergence to default error of 1e-03 occurred around 350 iterations. I created a mass flow rate monitor at the outlet. For both Case 1 and Case 2, the flow rate started around 0.05 lbm/s and approached 0 lbm/s asymptotically. It's difficult for me to wrap my brain around it but it looks like you were correct, LuckyTran. Thanks   September 27, 2017, 22:28 #7 New Member   Jeff Yam Join Date: Sep 2017 Posts: 11 Rep Power: 7 In this case, the dimensions that matter is only the throat diameter  Tags pressure-inlet, theory 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 AS_Aero CFX 5 March 28, 2018 10:46 iloc86 CFX 4 July 16, 2015 18:21 beastieboys6 FLUENT 3 April 10, 2012 22:46 cdevalve FLUENT 3 January 14, 2012 00:11 chong chee nan FLUENT 0 December 29, 2001 05:13

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