Rapid Reliable Solution
of the Parametrized Partial Differential Equations
of Continuum Mechanics and Transport

Pedagogy

Venturi: Potential Flow
Forward Problem

Authors: G Rozza & AT Patera
in collaboration with DBP Huynh & NC Nguyen


 

Q1 Predict/confirm the shape of the velocity profile and the pressure field using a 1D model based on continuity equation and Bernoulli's theorem.
(Hint: You can consider 3 different sections — the inlet, the middle of the throat, and the outlet — and then compute the pressure drop and the pressure recovery. To answer this question you will need to use the additional function Online\_RB\_pointwise\_Bernoulli provided to compute pointwise velocity/pressure and the associated L1 error bound.)

Q2 What is the pressure behavior and the velocity profile at high curvature points in the throat-inlet connection and in the throat-outlet connection?
(Hint: To answer this question you will need to use the additional function Online\_RB\_pointwise\_Bernoulli provided to compute pointwise velocity/pressure and the associated L1 error bound.)

Q3 How does the height of the throat (i.e., mu3 parameter) affect the low pressure at the "apex" of the curve in the transition region?

Q4 How long does it take the flow to become 1D in the throat region? What is the influence (if any) of the length of the throat (i.e., mu3 parameter)?

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