Two gases of density ρ1 and ρ3 are being mixed in the device shown in Figure P4.45. The device is of height d and constant width. Gas of density ρ1 and velocity U1 enters from the left, and it is mixed with gas of density ρ3 and velocity U3 entering through two ducts each of size d. The mixing is complete at station 2, so that both the velocity U3 and density ρ3 are uniform across the duct. The mixture then accelerates smoothly through a contraction to exit at atmospheric pressure with a velocity U4 and an unchanged density (ρ4 = ρ2). You are given that ρ3 = 2ρ1, and U3 = 3U1 = U4. Find the ratio ρ2/ρ1, and the pressure coefficient Cp, where
Two gases of density ρ1 and ρ3 are being mixed in the device shown in Figure P4.45. The device is of height d and constant width. Gas of density ρ1 and velocity U1 enters from the left, and it is mixed with gas of density ρ3 and velocity U3 entering through two ducts each of size d. The mixing is complete at station 2, so that both the velocity U3 and density ρ3 are uniform across the duct. The mixture then accelerates smoothly through a contraction to exit at atmospheric pressure with a velocity U4 and an unchanged density (ρ4 = ρ2). You are given that ρ3 = 2ρ1, and U3 = 3U1 = U4. Find the ratio ρ2/ρ1, and the pressure coefficient Cp, where
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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Two gases of density ρ1 and ρ3 are being mixed in the device shown in Figure P4.45. The device is of height d and constant width. Gas of density ρ1 and velocity U1 enters from the left, and it is mixed with gas of density ρ3 and velocity U3 entering through two ducts each of size 
d. The mixing is complete at station 2, so that both the velocity U3 and density ρ3 are uniform across the duct. The mixture then accelerates smoothly through a contraction to exit at atmospheric pressure with a velocity U4 and an unchanged density (ρ4 = ρ2). You are given that ρ3 = 2ρ1, and U3 = 3U1 = U4. Find the ratio ρ2/ρ1, and the pressure coefficient Cp, where
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