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Thermodynamics HW Solutions 273

Thermodynamics HW Solutions 273 - Chapter 3 Steady Heat...

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Chapter 3 Steady Heat Conduction 3-163 A wall is constructed of two large steel plates separated by 1-cm thick steel bars placed 99 cm apart. The remaining space between the steel plates is filled with fiberglass insulation. The rate of heat transfer through the wall is to be determined, and it is to be assessed if the steel bars between the plates can be ignored in heat transfer analysis since they occupy only 1 percent of the heat transfer surface area. Assumptions 1 Heat transfer is steady since there is no indication of change with time. 2 Heat transfer through the wall can be approximated to be one-dimensional. 3 Thermal conductivities are constant. 4 The surfaces of the wall are maintained at constant temperatures. Properties The thermal conductivities are given to be k = 15 W/m °C for steel plates and k = 0.035 W/m °C for fiberglass insulation. Analysis We consider 1 m high and 1 m wide portion of the wall which is representative of entire wall. Thermal resistance network and individual resistances are
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