Consider a velocity field where the x and y components of velocity aregiven by u = cx/(x2 + y2) and v = cy/(x2 + y2) where c is a constant. For source flow, calculate: a. The time rate of change of the volume of a fluid element per unitvolume.b. The vorticity.Hint: It is simpler to convert the velocity components to polar coordinatesand deal with a polar coordinate system.
Consider a velocity field where the x and y components of velocity aregiven by u = cx/(x2 + y2) and v = cy/(x2 + y2) where c is a constant. For source flow, calculate: a. The time rate of change of the volume of a fluid element per unitvolume.b. The vorticity.Hint: It is simpler to convert the velocity components to polar coordinatesand deal with a polar coordinate system.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider a velocity field where the x and y components of velocity are
given by u = cx/(x2 + y2) and v = cy/(x2 + y2) where c is a constant. For source flow, calculate:
a. The time rate of change of the volume of a fluid element per unit
volume.
b. The vorticity.
Hint: It is simpler to convert the velocity components to polar coordinates
and deal with a polar coordinate system.
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