Fundamentals of Momentum, Heat and Mass Transfer, 6th Edition International Student Version - Chapter 2

2.1 The open end of a cylindrical tank 2 ft in diameter and 3 ft high is submerged in water as shown. If the tank weights 250 lb, to what depth h will the tank submerge? The air barometric pressure is 14.7 psia. The thickness of tank wall may be neglected. What additional force is required to bring the top of the tank flush with the water surface?
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2.2 If the density of sea water is approximated by the equation of state ρ = ρ0 exp[(p patm)/β], where β is the compressibility, determine the pressure and density at a point 32,000 ft below the surface of the sea. Assume β = 30,000 psi.
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2.3 The practical depth limit for a suited diver is about 185 m. What is the gage pressure in sea water at that depth? The specific gravity of sea water is 1.025.
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2.4 The deepest known point in the ocean is 11,034 m in the Mariana Trench in the Pacific. Assuming sea water to have a constant density of 1050 kg/m3, determine the pressure at this point in atmospheres.
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2.5 Find the pressure at point A.
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2.6 What is the pressure pA in the figure? The specific gravity of the oil is 0.8....
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2.7 What is the pressure difference between points A and B if d1 = 1.7 ft, d2 = 1 in., and d3 = 6.3 in.?...
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2.8 The car shown in the figure is accelerated to the right at a uniform rate. What way will the balloon move relative to the car?...
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2.9 Glass viewing windows are to be installed in an aquarium. Each window is to be 0.6 m in diameter and to be centered 2 m below the surface level. Find the force and location of the force acting on the window.
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2.10 A circular log of radius r is to be used as a barrier as shown in the figure below. If the point of contact is at O, determine the required density of the log....
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2.11 A dam spillway gate holds back water of depth h. The gate weights 500 1b/ft and is hinged at A. At what depth of water will the gate rise and permit water to flow under it?...
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2.12 A watertight bulkhead 22 ft high forms a temporary dam for some constructionwork. The top 12 ft behind the bulkhead consists of seawater with a density of 2 slugs/ft3, but the bottom 10 ft begin a mixture of mud and water can be considered a fluid of density 4 slugs/ft3. Calculate the total horizontal load per unit width and the location of the center of pressure measured from the bottom.
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2.13 The figure below shows an open triangular channel in which the two sides, AB and AC, are held together by cables, spaced 1 m apart, between B and C. Determine the cable tension....
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2.14 The float in a toilet tank is a sphere of radius R and is made of a material with density ρ. An upward buoyant force F is required to shut the ballcock valve. The density of water is designated ρw. Develop an expression for x, the fraction of the float submerged, in terms of R, ρ, F, g, and ρw.
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2.15 A large industrial waste collection tank contains butyl alcohol, benzene, and water at 80°F that have separated into three distinct phases as shown in the figure. The diameter of the circular tank is 10 feet and its total depth is 95 feet. The gauge at the top of the tank reads 2116 lbf/ft3. Please calculate (a) the pressure at the butyl alcohol/benzene interface, (b) pressure at the benzene/water interface, and (c) the pressure at the bottom of the tank....
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2.16 If the nitrogen tank in the figure below is at a pressure of 4500 lbf/ft2 and the entire system is at 100°F, calculate the pressure at the bottom of the tank of glycerin....
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