Thermodynamics HW Solutions 476

Thermodynamics HW Solutions 476 - Chapter 5 Numerical...

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Chapter 5 Numerical Methods in Heat Conduction 5-86 The passive solar heating of a house through a Trombe wall is studied. The temperature distribution in the wall in 12 h intervals and the amount of heat transfer during the first and second days are to be determined. Assumptions 1 Heat transfer is one-dimensional since the exposed surface of the wall large relative to its thickness. 2 Thermal conductivity is constant. 3 The heat transfer coefficients are constant. Properties The wall properties are given to be k = 0.70 W/m °C, , and /s m 10 44 . 0 2 6 × = α κ = 0.76. The hourly variation of monthly average ambient temperature and solar heat flux incident on a vertical surface is given to be Time of day Ambient Temperature, ° C Solar insolation W/m 2 7am-10am 10am-1pm 1pm-4pm 4pm-7pm 7pm-10pm 10pm-1am 1am-4am 4am-7am 0 4 6 1 -2 -3 -4 -4 375 750 580 95 0 0 0 0 Trombe wall Glazing Sun’s rays Heat loss Heat gain h in T in h out T out Δ x 0 1 2 3 4 5 h in T in h out T out Analysis The nodal spacing is given to be
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