problem4-25 - PROBLEM 4.25 KNOWN Igloo constructed in...

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PROBLEM 4.25 KNOWN: Igloo constructed in hemispheric shape sits on ice cap; igloo wall thickness and inside/outside convection coefficients (h i , h o ) are prescribed. FIND: (a) Inside air temperature T when outside air temperature is T = -40 ° C assuming occupants provide 320 W within igloo, (b) Perform parameter sensitivity analysis to determine which variables have significant effect on T i , o , i . SCHEMATIC: ASSUMPTIONS: (1) Steady-state conditions, (2) Convection coefficient is the same on floor and ceiling of igloo, (3) Floor and ceiling are at uniform temperatures, (4) Floor-ice cap resembles disk on emi-infinite medium, (5) One-dimensional conduction through igloo walls. s PROPERTIES: Ice and compacted snow (given): k = 0.15 W/m K. ANALYSIS: (a) The thermal circuit representing the heat loss from the igloo to the outside air and through the floor to the ice cap is shown above. The heat loss is ,i ,o ,i ic cv,c wall cv,o cv,f cap TT q RRR RR ∞∞ −− =+ ++ + .
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problem4-25 - PROBLEM 4.25 KNOWN Igloo constructed in...

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