Thermodynamics HW Solutions 82

Thermodynamics HW Solutions 82 - Chapter 2 Heat Conduction...

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Chapter 2 Heat Conduction Equation 2-16 The rate of heat generation per unit volume in the uranium rods is given. The total rate of heat generation in each rod is to be determined. Assumptions Heat is generated uniformly in the uranium rods. g = 7 × 10 7 W/m 3 L = 1 m D = 5 cm Analysis The total rate of heat generation in the rod is determined by multiplying the rate of heat generation per unit volume by the volume of the rod & && (/ ) ( ) ( . / ] ( Gg V gD L == = × rod 32 5 W / m [ m) m) 1.374 10 W = ππ 27 47 1 0 0 0 54 1 137.4 kW 2-17 The variation of the absorption of solar energy in a solar pond with depth is given. A relation for the total rate of heat generation in a water layer at the top of the pond is to be determined. Assumptions Absorption of solar radiation by water is modeled as heat generation. Analysis The total rate of heat generation in a water layer of surface area A and thickness L at the top of the pond is determined by integration to be b ) e (1 g A bL 0 = = = = = & & & & & L bx L x bx V b e g A Adx e g dV g G 0 0 0 0 ) ( 2-18 The rate of heat generation per unit volume in a stainless steel plate is given. The heat flux on the
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