I have a 2m diameter rod that is 15m long. I will be putting it underground by 3 meters. The rod has a heat rate of 3.6kW and a surface temperature of 112 degrees celsius. The floor above has a thermal conductivity of 2.7 w/m/k. Find the temperature of the floor above
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- 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=lenthofcyclinderHeat is being generated within a 6 m long stainless steel cylinder with the amount of 2kW. The thermalconductivity of the cylinder is constant at 15.1 W/moC. The temperature and the heat transfercoefficient of the environment are 30oC and 140 W/m2 respectively and the heat is transferred insteady state. Determine the cylinder surface temperature a) by using the applicable relation, and b)by using differential equation and solving it.A 2m^2 wall of 1010steel is 8 mm thick. If the outside of the wall is100 °C, andyou measure aheat flux of 80 kW/m2coming off the wall, what is the temperature of the insideof thewall?
- Hi, can you help me with the following problem? A thermally insulated tank of water 2 m x 2 m, depth 1 m is stirred with a paddle for threehours. If the paddle is driven by a motor whose shaft power is 8 kW determine the rate ofchange of temperature in degrees C per hr and the increase in temperature of the water.The specific heat of water is 4200 J/kgC. Identify a system and start your analysis from anappropriate form of the Fist Law of ThermodynamicsA plane wall is 2m high and 3m wide and is 20cm thick. It is made of a material that has a thermal conductivity of 0.50W/m-K. A temperature difference of 60 degrees Celsius is imposed on the two large faces. Find the heat flux.is there any relation between heat capacity at constant pressure and heat capacity at constant volume ? if yes then derive it with equations.
- The wall of a furnace comprises three layers as shown in the figuie. The first layer is tery (whose maximum allowable temperature is 1400°C) while the second laver is Tracto:y Chose maximum allowable temperature is 1093°C). The third layer is a plate of 6 35 od thermal contact. Steet plare To 6.35x3 45A 1370 C Concerntiation veluciy 37.8 C mass Siynes Figure. Layers in a composite furnace wall. e temperature To on the inside of the refractory is 1370°C, while the temperature T; on the side of the steel plate is 37.8° The heat loss through the furnace HnIlisexpectet tobeQ: 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= 0.3mThe wall of a house, 7 m wide and 6 m high is made from 0.3 m thick brick withk=0.6 W/m.K. The surface temperature on the inside of the wall is 16C and that onthe outside 6C. Find the heat flux through the wall and the total heat loss through it.
- Orange plants were placed in garden overnight in sky at temperature of 260 K. The temperature of air is 284 K. The convective heat transfer coefficient is 1.65 W/m 2 – K. The leaves of the plant have emissivity of 0.65, Find the temperature of the orange plant leaves under equilibrium conditions.O 4-Two identical metal plates (mass m, specific heat = 20°C, and the other is at 90 °C. They are placed in good thermal contact. What is their final temperature? c) have different temperatures; onc isIt is designed in such a way that the internal temperature of a commercial heat treatment furnace can reach up to 165 oC. All surfaces of the furnace consist of firebrick (10 cm), insulation material and sheet metal (3mm) from the inside out. Given that the outdoor temperature is 22 oC, the outer sheet will be allowed to go up to 35 oC, which is a temperature that will not disturb in contact with hands. In this case, determine the insulation material thickness to be used. The thermal conductivity coefficient of the insulation material is insulation 0.066 W / m oC, 60 W / m oC for sheet metal and 115 W / m oC for firebrick. Indoor heat transfer coefficient will be accepted as 25 W / m2 oC and 12 W / m2 oC for outdoor environment.