##
Pedagogy

Circular Bend: Potential Flow

Forward Problem

Authors: G Rozza & AT Patera

in collaboration with DBP Huynh & NC Nguyen

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**Q1**
Predict/confirm the shape of the streamlines
away from the inlet/outlet.

**Q2**
Predict the velocity profile in the duct away
from the inlet/outlet. To answer this question you need to use the
additional function `Online_RB_pointwise_Bernoulli`

provided to compute pointwise velocity prediction and associated
L1 error bound.

**Q3**
Predict the pressure profile in the duct away
from the inlet/outlet. To answer this question you need to use the
additional function `Online_RB_pointwise_Bernoulli`

provided to compute pointwise pressure prediction and associated
L1 error bound.

**Q4**
Predict the extent of the regions near the
outlet affected by the downstream channel segments.

**Q5**
Estimate the magnitude of the radial velocity
in the transition region identified in **Q4**.