Delive the equation from (Node at a Plane Surface with convection (2 Tm-1/n + Tmin+1 + Tmin-1) + 2 hox Top-2 (hox + 2) Tmin=0 k
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- Flat-plate solar collectors are often tilted up towardthe sun in order to intercept a greater amount of direct solarradiation. The tilt angle from the horizontal also affects therate of heat loss from the collector. Consider a 1.5-m-highand 3-m-wide solar collector that is tilted at an angle u fromthe horizontal. The back side of the absorber is heavily insulated.The absorber plate and the glass cover, which arespaced 2.5 cm from each other, are maintained at temperaturesof 80°C and 40°C, respectively. Determine the rate ofheat loss from the absorber plate by natural convection foru = 0°, 30°, and 90°.An automotive engine can be approximated asa 0.4-m-high, 0.60-m-wide, and 0.7-m-long rectangularblock. The bottom surface of the block is at a temperatureof 75°C and has an emissivity of 0.92. The ambient airis at 5°C, and the road surface is at 10°C. Determine therate of heat transfer from the bottom surface of the engineblock by convection and radiation as the car travels at avelocity of 60 km/h. Assume the flow to be turbulent over theentire surface because of the constant agitation of the engineblock. How will the heat transfer be affected when a 2-mmthickgunk (k = 3 W/m?K) has formed at the bottom surface asa result of the dirt and oil collected at that surface over time?Assume the metal temperature under the gunk still to be 75°C.A horizontal pipe having a surface temperature of 67 °C and diameter of 20 cm is buried at a depth of 1 m in the earth at a location where k = 1.8 W/m-°C. The earth surface temperature is 15 °C. Calculate the shape factor if the pipe length is 10 m.
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