(a) In a variety of environmental problems, it is common to find fluid motions that have a cellular character; i.e. the fluid streamlines form closed loops in the form of a cell. An example of a 2D cellular flow is ū = sin(rx) cos(ry)î – cos(rx) sin(7y)I (i) Is this flow incompressible? (Justify you answer.) (ii) Calculate the vorticity. (iii) Where is the magnitude of the vorticity highest, and where does it yanish?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.3P: Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK,...
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(a) In a variety of environmental problems, it is common to find fluid motions
that have a cellular character; i.e. the fluid streamlines form closed loops in
the form of a cell. An example of a 2D cellular flow is
ū = sin(rx) cos(ry)î – cos(rx) sin(ry)j
(i) Is this flow incompressible? (Justify you answer.)
(ii) Calculate the vorticity.
(iii) Where is the magnitude of the vorticity highest, and where does it
vanish?
Transcribed Image Text:(a) In a variety of environmental problems, it is common to find fluid motions that have a cellular character; i.e. the fluid streamlines form closed loops in the form of a cell. An example of a 2D cellular flow is ū = sin(rx) cos(ry)î – cos(rx) sin(ry)j (i) Is this flow incompressible? (Justify you answer.) (ii) Calculate the vorticity. (iii) Where is the magnitude of the vorticity highest, and where does it vanish?
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