Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.24P: Engine oil at 100C flows over and parallel to a flat surface at a velocity of 3 m/s. Calculate the...
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1. A quonset hut is a lightweight, metal building with a semicircular cross section. Consider a quonset
hut that has a radius of 2 m and is 10 m long. In a hurricane when the atmospheric pressure is 90
kPa and the temperature is 30°C, the wind is blowing with a speed of 60 m/s directly crosswise to
the quonset hut. Assume that conditions are the same for every cross section of the hut – that is,
the flow is two-dimensional everywhere along the length of the hut.
(a) Consider the case of the hut sitting directly on the ground. If there is a small hole in the hut,
the pressure everywhere inside the hut will be equal to the pressure outside the hut at the
point of the hole. Assume there is a hole just where the hut touches the ground. The building
is made of steel and has a mass of 15,000 kg. Will the building lift off the ground in the storm?
(Do not consider drag. Recall that p = pRT.) What assumptions do you need to use in order
to make this determination.
V
Quonset hut for part a.
(b) Now assume that you can place a hole at some location on the hut shell. The pressure every-
where inside the hut will be equal to the pressure on the outside of the hut at the point of the
hole. At what angle, 0, should you place the hole so that the lift on the hut is zero?
Væ
hole
V₂
0
Quonset hut for part b.
(c) Consider the case of the hut having an attached floor, but it sits slightly above the ground
so that there is a still crawl space under the hut, which has constant pressure equal to the
atmospheric pressure. (There are no holes in the hut in this case.) Will the building lift off the
ground in the storm? (You may assume the mass is still 15,000 kg even though this version
has a floor.)
hole
Quonset hut for part c.
crawl space
Transcribed Image Text:1. A quonset hut is a lightweight, metal building with a semicircular cross section. Consider a quonset hut that has a radius of 2 m and is 10 m long. In a hurricane when the atmospheric pressure is 90 kPa and the temperature is 30°C, the wind is blowing with a speed of 60 m/s directly crosswise to the quonset hut. Assume that conditions are the same for every cross section of the hut – that is, the flow is two-dimensional everywhere along the length of the hut. (a) Consider the case of the hut sitting directly on the ground. If there is a small hole in the hut, the pressure everywhere inside the hut will be equal to the pressure outside the hut at the point of the hole. Assume there is a hole just where the hut touches the ground. The building is made of steel and has a mass of 15,000 kg. Will the building lift off the ground in the storm? (Do not consider drag. Recall that p = pRT.) What assumptions do you need to use in order to make this determination. V Quonset hut for part a. (b) Now assume that you can place a hole at some location on the hut shell. The pressure every- where inside the hut will be equal to the pressure on the outside of the hut at the point of the hole. At what angle, 0, should you place the hole so that the lift on the hut is zero? Væ hole V₂ 0 Quonset hut for part b. (c) Consider the case of the hut having an attached floor, but it sits slightly above the ground so that there is a still crawl space under the hut, which has constant pressure equal to the atmospheric pressure. (There are no holes in the hut in this case.) Will the building lift off the ground in the storm? (You may assume the mass is still 15,000 kg even though this version has a floor.) hole Quonset hut for part c. crawl space
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