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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 r>ri where r₁ = 2.5 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) ê, for r₁ < r < 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 ri V

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 r>ri where r₁ = 2.5 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) ê, for r₁ < r < 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 ri V

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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 r>ri where r₁ = 2.5 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) ê, for r₁ < r < 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 ri V
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 r>ri where r₁ = 2.5 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) ê, for r₁ < r < 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 ri V
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