A solid iron wall has a thermal conductivity of 0.072 J/s mm C, thickness of 50 mm and surface area of 1m x1m, temperature of 150 C on one side and 80 C on the other side of the wall. Determine the heat flow rate. A 100.8 Cal B 615.8 kW C 100.8 kW D 100.8 J/s
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- The heat transfer coefficient between a surface and a liquid is 57 W/(m2K). How many watts per square meter will be transferred in this system if the temperature difference is 10C?1.10 A heat flux meter at the outer (cold) wall of a concrete building indicates that the heat loss through a wall of 10-cm thickness is . If a thermocouple at the inner surface of the wall indicates a temperature of 22°C while another at the outer surface shows 6°C, calculate the thermal conductivity of the concrete and compare your result with the value in Appendix 2, Table 11.A high-speed computer is located in a temperature-controlled room at 26C. When the machine is operating, its internal heat generation rate is estimated to be 800 W. The external surface temperature of the computer is to be maintained below 85C. The heat transfer coefficient for the surface of the computer is estimated to be 10W/m2K. What surface area would be necessary to assure safe operation of this machine? Comment on ways to reduce this area.
- Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner radius ri and outer radius ro, made of a material whose thermal conductivity varies linearly with temperature, is given by qkL=TiTo(rori)/kmA where Ti = temperature at the inner surface To = temperature at the outer surface A=2(rori)/ln(ro/ri)km=ko[1+k(Ti+To)/2]L=lenthofcyclinder1.37 Mild steel nails were driven through a solid wood wall consisting of two layers, each 2.5-cm thick, for reinforcement. If the total cross-sectional area of the nails is 0.5% of the wall area, determine the unit thermal conductance of the composite wall and the percent of the total heat flow that passes through the nails when the temperature difference across the wall is 25°C. Neglect contact resistance between the wood layers.Q: A large plane wall of thickness (L= 0.3 m), thermal conductivity (k = 40 W/m-°C), and surface area 0.4 m2. The left side of the wall is maintained at a constant temperature of 70°C while the right side loses heat to the surrounding air with heat flux q' expressed by: 1200k q = k+20L A- Find a relation to determine the variation of temperature in the wall. B- Determine the rate of heat transfer through the wall. C- Determine the temperature at the right side of the wall. wall T1= 70 °C L= 0.3m
- How much heat is conducted in 24.0 hours through a 21.0 cm thick concrete wall whose thermal conductivity is 1.09 W/m°C and has an area of 2 m2. If the temperature difference between the wall surfaces is 3°C O a. 31.14x103 J O b. 33.6x103j O c. 2.69x106j o d. 1.57x109 JIn an electrically heated home, the temperature of the ground in contact with a concrete basement wall is 13.8 oC. The temperature at the inside surface of the wall is 18.4 oC. The wall is 0.13 m thick and has an area of 6.8 m2. Assume that one kilowatt hour of electrical energy costs $0.10. How many hours are required for one dollar's worth of energy to be conducted through the wall?In the design of a cold-storage warehouse, the specifications call for a maximum heat transfer through the warehouse walls of 30,000 joules per hour per square meter of wall when there is a 30°C temperature difference between the inside surface and the outside surface of the insulation. The two insulation materials being considered are as follows: Conductivity (J-m/m²-°C-hr) Cost per Cubic Meter $12.50 14.00 Insulation Material 140 Rock wool Foamed insulation 110 The basic equation for heat conduction through a wall is: K(AT) Q = Q=heat transfer, in J/hr/m² of wall K=conductivity in J-m/m2-°C-hr AT =difference in temperature between the two surfaces, in °C L=thickness of insulating material, in meters where Which insulation material should be selected?
- 2-66 One end of a copper rod 30 cm long is firmly connected to a wall that is maintained at 200°C. The other end is firmly connected to a wall that is maintained at 93°C. Air is blown across the rod so that a heat-transfer coefficient of 17 W/m2 .°C is maintained. The diameter of the rod is 12.5 mm. The temperature of the air is 38°C. What is the net heat lost to the air in watts?5- Determine the rate of heat transfer by conduction per unit area, by means of conduction for a furnace wall made of fire clay. Furnace wall thickness is 6" or half a foot. Thermal conductivity of the furnace wall clay is 0.3 W/m-K. The furnace wall temperature can be taken to be same as furnace operating temperature which is 650°C and temperature of the outer wall of the furnace is 150°C.1