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Problem 5.2 A simple air duct with a side exhaust is shown below along with the direction of the velocity vectors at each inlet or outlet. The cross-sectional area at 1 and 3 are identical, Ac₁ = Ac3 = 0.5 m². The velocity at 2, V₂, makes a 20º angle with the opening in the side of the duct A₂ = 0.5 m². Measurements indicate that the flow is steady with velocities V₁ = 10 m/s and V3 = 3 m/s. Assume that air behaves like an incompressible substance under these conditions. a) Determine the ratio of the volumetric flow rate at 2 to the volumetric flow rate at 1, /. b) Determine the ratio of the velocity at 2 to the velocity at 1, V₂/V1. 1 20° Ans: a) 0.65 ≤ / ≤ 0.81 b) 1.75 ≤ V₂/V₁ ≤ 2.10

Problem 5.2 A simple air duct with a side exhaust is shown below along with the direction of the velocity vectors at each inlet or outlet. The cross-sectional area at 1 and 3 are identical, Ac₁ = Ac3 = 0.5 m². The velocity at 2, V₂, makes a 20º angle with the opening in the side of the duct A₂ = 0.5 m². Measurements indicate that the flow is steady with velocities V₁ = 10 m/s and V3 = 3 m/s. Assume that air behaves like an incompressible substance under these conditions. a) Determine the ratio of the volumetric flow rate at 2 to the volumetric flow rate at 1, /. b) Determine the ratio of the velocity at 2 to the velocity at 1, V₂/V1. 1 20° Ans: a) 0.65 ≤ / ≤ 0.81 b) 1.75 ≤ V₂/V₁ ≤ 2.10

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 5.2 A simple air duct with a side exhaust is shown below along with the direction of the velocity vectors at each inlet or outlet. The cross-sectional area at 1 and 3 are identical, Ac1 = Ac3 = 0.5 m². The velocity at 2, V₂, makes a 20° angle with the opening in the side of the duct A₂ = 0.5 m². Measurements indicate that the flow is steady with velocities V₁ = 10 m/s and V3 = 3 m/s. Assume that air behaves like an incompressible substance under these conditions. a) Determine the ratio of the volumetric flow rate at 2 to the volumetric flow rate at 1, /. b) Determine the ratio of the velocity at 2 to the velocity at 1, V₂/V₁. 1 20° Ans: a) 0.65 ≤ / ≤ 0.81 b) 1.75 ≤ V₂/V₁₂ ≤ 2.10
Transcribed Image Text:Problem 5.2 A simple air duct with a side exhaust is shown below along with the direction of the velocity vectors at each inlet or outlet. The cross-sectional area at 1 and 3 are identical, Ac1 = Ac3 = 0.5 m². The velocity at 2, V₂, makes a 20° angle with the opening in the side of the duct A₂ = 0.5 m². Measurements indicate that the flow is steady with velocities V₁ = 10 m/s and V3 = 3 m/s. Assume that air behaves like an incompressible substance under these conditions. a) Determine the ratio of the volumetric flow rate at 2 to the volumetric flow rate at 1, /. b) Determine the ratio of the velocity at 2 to the velocity at 1, V₂/V₁. 1 20° Ans: a) 0.65 ≤ / ≤ 0.81 b) 1.75 ≤ V₂/V₁₂ ≤ 2.10
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