A slab 20 inch thick is made up of a material having a thermal conductivity of 33 Btu/hr-ft-°F. The temperature (°F) across the thickness of the wall is described by the function T(x) = 212 + 10x – x² when x is measured in inches from one face of the wall. Determine the heat flow in Watts/m2 at the point x = 13 inches.
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- 1.22 In order to prevent frostbite to skiers on chair lifts, the weather report at most ski areas gives both an air temperature and the wind-chill temperature. The air temperature is measured with a thermometer that is not affected by the wind. However, the rate of heat loss from the skier increases with wind velocity, and the wind-chill temperature is the temperature that would result in the same rate of heat loss in still air as occurs at the measured air temperature with the existing wind. Suppose that the inner temperature of a 3-mm-thick layer of skin with a thermal conductivity of 0.35 W/m K is and the air temperature is . Under calm ambient conditions the heat transfer coefficient at the outer skin surface is about (see Table 1.4), but in a 40-mph wind it increases to . (a) If frostbite occurs when the skin temperature drops to about , do you advise the skier to wear a face mask? (b) What is the skin temperature drop due to the wind?The rate of heat flow per unit length q/L through a hollow cylinder of inside radius ri and outside radius ro is q/L=(AkT)/(rori) where A=2/(rori)/ln(ro/ri). Determine the percent error in the rate of heat flow if the arithmetic mean area (ro+ri) is used instead of the logarithmic mean area A for ratios of outside-to-inside diameters (Do/Dj) of 1.5, 2.0, and 3.0. Plot the results.An electric heater producing 260 W of heat is used to warm up a room containing 7 m3 of air. If we assume the room is perfectly sealed and there is no heat loss through the room boundaries, such that all of the heater output goes into increasing the air temperature, how long will it take to heat up the air in the room from 5.0 °C to 24.1 °C? Give your answer to the nearest minute and assume that the specific volume (v = 0.85 m3/kg) and specific heat capacity at constant volume (cv = 1.005 kJ/(kg K)) remain constant throughout the heating process.
- The heat loss per hour through 1 sq. ft of furnace wall 18" thick is 520 Btu. The temperature on the hot side of the wall is 1900 degrees F, and its average thermal conductivity is 0.61 Btu/hr-ft-°F. Determine the temperature on the other side of the wall in °C.An air-cooled condenser has an expected U value of 30 W/m2∙K based on the airside. The condenser is to transfer 60 kW with an airflow rate of 15 kg/s entering at 35°C. If the condensing temperature is to be 48°C, what is the required airside area in m2? Round your answer to 2 decimal places. heat transferThe rate of heat lost through insulation varies inversely as the thickness of the insulation. The rate of heat lost through a 3.5-inch thickness of insulation is 2200 Btu per hour. What is the rate of heat lost through a 5-inch thickness of the same insulation?
- A body at an unknown temperature is placed in a room held at a constant temperature of 10 °C. If after 15 min the temperature of the body is 0 °C and after 30 min the temperature of the body is 5 °C, find the unknown initial temperature of the body in °C. (Ctrl) ►An air-cooled condenser has an expected U value of 30 W/m2∙K based on the airside. The condenser is to transfer 60 kW with an airflow rate of 15 kg/s entering at 35°C. If the condensing temperature is to be 48°C, what is the required airside area in m2? Round your answer to 2 decimal places.Max likes to drink tea. He uses his kettle to heat 1.6 liters of water from 18°C to 100°C every day. What does it cost him to heat the water per year (365 days) if he pays 29 cents per kWh of electricity. State the costs in euros to two decimal places. The material values of water averaged for the swept temperature range are: Cwater=4.18 kJ/(kg-K); pwater=983 kg/m3; Awater=0.654 W/(m2. K); nwater=467-10-6 kg/(m-s).
- 1.22 m 1. To avoid overheating, natural convection analysis is to be considered. If the minimum allowable heat transfer due to natural convection is 30 W, find the maximum angle at which the TV can hang off the wall (0 < 0 < 60). Some temperatures were collected; Back panel surface: 45 °C, ambient: 32 °C. A typical 55-inch TV screen measures (122 cm x 69 cm). Note: A typical screen uses a portion of the incoming energy to light up the LED panel, while the rest is dissipated as natural heat convection. 0.69 mOne wall of a room measures 14 feet long and 8 feet high. It's contains a window 5 feet wide and 3.5 feet high. The wall has an R-Value of 15.5. the unit R-value of the window is 3.5. Find the rate of heat flow through the wall when the inside air temperature is 68 degrees Fahrenheit and the outside temperature is 5 degrees Fahrenheit.Write your answer in 4 decimal places. DO NOT round off intermediate values. The variation of temperature in a plane wall is determined to be T(x)=110-48x where x is in m and T is in °C. If the thickness of the wall is 0.75 m, the temperature difference between the inner and outer surfaces of the wall is °C