Problem 3. Consider the steady flow of air between parallel disks as shown. Assume that the flow is incompressible and inviscid, and that the velocity is purely radial and uniform at any section for r2r, where r, = 25 cm. The flow speed is V = 15 m/s at R= 7.5 cm. (a) Calculate the velocity at r=r, by simplifying the continuity equation for this flow field and showing that a general expression for the velocity field is given by V =V (R/r)e, for r, Srs R (b) Calculate the acceleration of a fluid particle at the locations r=r, and r= R (c) Briefly discuss how the velocity and acceleration change for this steady flow with radial direction. flow R

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Problem 3. Consider the steady flow of air between parallel disks as shown. Assume that the flow is incompressible and
inviscid, and that the velocity is purely radial and uniform at any section for r2r, where r, = 25 cm. The flow speed is
V = 15 m/s at R= 7.5 cm. (a) Calculate the velocity at r=r, by simplifying the continuity equation for this flow field
and showing that a general expression for the velocity field is given by V =V (R/r)e, for r, Srs R (b) Calculate the
acceleration of a fluid particle at the locations r=r, and r= R (c) Briefly discuss how the velocity and acceleration
change for this steady flow with radial direction.
flow
R
Transcribed Image Text:Problem 3. Consider the steady flow of air between parallel disks as shown. Assume that the flow is incompressible and inviscid, and that the velocity is purely radial and uniform at any section for r2r, where r, = 25 cm. The flow speed is V = 15 m/s at R= 7.5 cm. (a) Calculate the velocity at r=r, by simplifying the continuity equation for this flow field and showing that a general expression for the velocity field is given by V =V (R/r)e, for r, Srs R (b) Calculate the acceleration of a fluid particle at the locations r=r, and r= R (c) Briefly discuss how the velocity and acceleration change for this steady flow with radial direction. flow R
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