A 25 cm thick brick wall of 4 m by 3 m and thermal conductivity 0.75 W/m°C has inner and outer surfaces at 43°C and 7°C, respectively. The rate of heat transfer through the wall is: a. 1328 W ○ b. 1175 W C. 1296 W ○ d. 984 W
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- A plane wall, 7.5 cm thick, generates heat internally at the rate of 105 W/m3. One side of the wall is insulated, and the other side is exposed to an environment at 90C. The convection heat transfer coefficient between the wall and the environment is 500 W/m2 K. If the thermal conductivity of the wall is 12 W/m K, calculate the maximum temperature in the wall.A plane wall 15 cm thick has a thermal conductivity given by the relation k=2.0+0.0005T[W/mK] where T is in kelvin. If one surface of this wall is maintained at 150C and the other at 50C, determine the rate of heat transfer per square meter. Sketch the temperature distribution through the wall.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.
- 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=lenthofcyclinder3.17 A 1.4-kg aluminum household iron has a 500-W heating element. The surface area is . The ambient temperature is 21°C, and the surface heat transfer coefficient is . How long after the iron is plugged in does its temperature reach 104°C?2.15 Suppose that a pipe carrying a hot fluid with an external temperature of and outer radius is to be insulated with an insulation material of thermal conductivity k and outer radius . Show that if the convection heat transfer coefficient on the outside of the insulation is and the environmental temperature is , the addition of insulation actually increases the rate of heat loss if , and the maximum heat loss occurs when . This radius, is often called the critical radius.
- 1.37 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.Discuss the modes of heat transfer that determine the equilibrium temperature of the space shuttle Endeavour when it is in orbit. What happens when it reenters the earths atmosphere?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.
- The heat transfer across a 5" wall of firebrick is 500 W/m2. If the surface temperature thermalconductivity of brick is 0.7 Btu/hr-ft-°F, find he on cold side is 30°C and temperature on hot side. O 65.37 deg C 87.25 deg C 73.45 deg C 82.41 deg CQ2) The outer surfaces of the plane composite wall (A, B and C) are exposed to a fluid at 25'C and a convection heat transfer coefficient of 1000 W/m² "C. The thickness of walls A, B and C are 30, 60 and 20 mm, respectively. The thermal conductivity of walls material A, B and C are 25, 15 and 50 W/m "C, respectively. The middle wall (B) has a uniform heat generation, while there is no generation in walls A and C. The outer surfaces temperature of A and C are 132°C and 158°C, respectively. At steady state-one dimensional heat transfer conditions calculate: (1) The temperature in wall B at a distance of 10 mm from interphase of walls B and C. (2) The temperature in wall B at a distance of 5 mm from interphase of walls B and A. (3) The temperature at the middle of wall B.Inner diameter 30 cm, outer diameter 40 cm and heat conduction coefficient 20 W / m ∙ a cylindrical pipe with oC Take it. 25 W / m3 uniformly on the pipe wall There is a constant rate of heat generation. Tube inner surface temperature 75 oC and outer surface temperature is 95oC. a) Obtain a general correlation for the temperature distribution in the pipe (steady state). b) Calculate the temperature at the midpoint of the pipe wall.