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Consider the steady flow of a fluid of constant density in a duct of constant width w. The fluid flows smoothly up a bump, as shown in Figure P4.41, and then separates such that the streamlines are initially straight and parallel. Determine the magnitude and the direction of the horizontal component of the force exerted by the fluid on the bump in terms of the density ρ, the inlet velocity V1, the inlet height H1 and the width w, given that the pressures and velocities at stations 1 and 2 are uniform across the heights H1 and H2, and that H1/H2 = 2.

Consider the steady flow of a fluid of constant density in a duct of constant width w. The fluid flows smoothly up a bump, as shown in Figure P4.41, and then separates such that the streamlines are initially straight and parallel. Determine the magnitude and the direction of the horizontal component of the force exerted by the fluid on the bump in terms of the density ρ, the inlet velocity V1, the inlet height H1 and the width w, given that the pressures and velocities at stations 1 and 2 are uniform across the heights H1 and H2, and that H1/H2 = 2.

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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Consider the steady flow of a fluid of constant density in a duct of constant width w. The fluid flows smoothly up a bump, as shown in Figure P4.41, and then separates such that the streamlines are initially straight and parallel. Determine the magnitude and the direction of the horizontal component of the force exerted by the fluid on the bump in terms of the density ρ, the inlet velocity V1, the inlet height H1 and the width w, given that the pressures and velocities at stations 1 and 2 are uniform across the heights H1 and H2, and that H1/H2 = 2.

 

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