All,
I am trying to use abaqus/cfd to solve bernoulli equation.
bernoulli eq: p1 + g * density * h1 +1/2 * density * v1^2 = p2 + g * density * h2 +1/2 * density * v2^2 (1)
continuity eq: v1 * A1 = v2 * A2 ... since A1 = A2, then v1 = v2 (2)
(2) into (1): p1 + g * density * h1 = p2 + g * density * h2
solving for p2: p2 = p1 + g * density * (h1 - h2) (3)
the following values are assumed:
p1 = 2 atm = 202600 N/m^2; g = 9.81 m/s^2; density = 1000 kg/m^3; h1 = 5m; h2 = 10m; v1 = v2 = 2 m/s; pipe diameter = 0.1m
plug in the values, we will end up with:
p2 = 202600 + 9.81 * 1000 * (5 - 10) = 153500 Pa (N/m^2)
If my math is correct, this should be the approximately the pressure abaqus/cfd should show. Correct?
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however, this is not the case. abaqus/cfd is estimating p2 = 192200 Pa.. This value is 25% greater than the theoretical value. I was expecting that cfd would show a p2 less than calculated value simply because some lost due to friction (fitting and pipe length) are expected.
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I have attached the INP, abaqus pressure output and also an schematic of the problem solved analytically.
so my question to the community is... What am I doing wrong???
it seems to me that some how, abaqus is not considering the gravity acceleration. I have changed to the g value to 981 (g x 100) and I am still getting the same 1.9e5 Pa. Why??? am I missing something?
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thanks for your time and hoping for some guidance :)
Marcelo
