The overall streamfunction for a particular inviscid 2D flow field is ... В y = f(r,0)= A0+²sin 0 ... in which y has units of ft2/s when r has units of feet. A and B are constants that are not a function ofr or 0. The fluid in this flow field is water (incompressible) and you may neglect any effects of gravity. The velocities are known at this location ( ri = 6.0 ft, 0 = 1/5 ) ... Vr = 12 ft/s and ve=4 ft/s (2.a) Show that this flow field is irrotational. (2.b) Find the equation for the equipotential ø = f(r,0) for this flow field. Your answer will contain one/both of the constants --- ---

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The overall streamfunction for a particular inviscid 2D flow field is ...
В
y = f(r,0)= A0+²sin 0
in which y has units of ft2/s when r has units of feet. A and B are constants
that are not a function of r or 0. The fluid in this flow field is water
(incompressible) and you may neglect any effects of gravity.
The velocities are known at this location ( r1 = 6.0 ft, 0 = t/5 )...
Vr = 12 ft/s
and
ve=4 ft/s
(2.a) Show that this flow field is irrotational.
(2.b) Find the equation for the equipotential ø= f(r,0) for this flow field.
Your answer will contain one/both of the constants --
---
(2.c) Determine the numerical values for A and B.
Consider a second location ( r2 = 3 ft, 2 = 5Tt/6 ).
(2.d) Find the pressure difference [ psi ] P1 – P2.
Transcribed Image Text:The overall streamfunction for a particular inviscid 2D flow field is ... В y = f(r,0)= A0+²sin 0 in which y has units of ft2/s when r has units of feet. A and B are constants that are not a function of r or 0. The fluid in this flow field is water (incompressible) and you may neglect any effects of gravity. The velocities are known at this location ( r1 = 6.0 ft, 0 = t/5 )... Vr = 12 ft/s and ve=4 ft/s (2.a) Show that this flow field is irrotational. (2.b) Find the equation for the equipotential ø= f(r,0) for this flow field. Your answer will contain one/both of the constants -- --- (2.c) Determine the numerical values for A and B. Consider a second location ( r2 = 3 ft, 2 = 5Tt/6 ). (2.d) Find the pressure difference [ psi ] P1 – P2.
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