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1. Consider the packed bed of aluminum spheres described in Problem 5.12 under conditions for which the bed is charged by hot air with an inlet velocity of V = 1 m/s and temperature of Tg,i = 300°C, but for which the convection coefficient is not prescribed. If the porosity of the bed is s = 0.40 and the initial tem- perature of the spheres is Ti = 25°C, how long does it take a sphere near the inlet of the bed to accumulate 90% of its maximum possible energy?
2. The use of rock pile thermal energy storage systems has been considered for solar energy and industrial process heat applications. A particular system involves a cylindrical container, 2 m long by 1 m in diameter, in which nearly spherical rocks of 0.03-m diameter are packed. The bed has a void space of 0.42, and the den- sity and specific heat of the rock are p = 2300 kg/m3 and cp = 879 J/kg · K, respectively. Consider conditions for which atmospheric air is supplied to the rock pile at a steady flow rate of 1 kg/s and a temperature of 90°C. The air flows in the axial direction through the container. If the rock is at a temperature of 25°C, what is the total rate of heat transfer from the air to the rock pile?
Geothermal ground water is at a high pressure and temperature (140 digress C). Water is extracted at a rate of 240 kg/s. The water is fed to a plant that produces 7500 kW of net power, at leaves at a temperature of 110 degrees C. The average ambient ..
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An Al2O3 whisker is a small single crystal used to reinforce metal-matrix composites. Given a cylindrical shape, calculate the number of Al atoms and the number of O atoms in a whisker with a diameter of 1 micrometer and a length of 25 micrometers. (..
Air at atmospheric pressure and a temperature of 25°C is in parallel flow at a velocity of 5 m/s over a 1m long flat plate that is heated with a uniform heat flux of 1250 W/m2. Assume the flow is fully turbulent over the length of the plate.
An amount P must be invested now to allow withdrawals of $1,000 per year for the next 15 years and to permit $300 to be withdrawn starting at the end of year 6 and continuing over the remainder of the 15-year period as the $300 increases by 6% per ye..
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