Q1: An aluminum pan whose thermal conductivity is 237 W/m-°C has a flat bottom whose diameter is 20 cm and thickness 0.6 cm. Heat is transferred steadily to boiling water in the pan through its bottom at a rate of 700 W. If the inner surface of the bottom of the pan is 105°C, determine the temperature of the outer surface of the bottom of the pan.
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- An aluminum pan whose thermal conductivity is 237 W/m*^ C has a flat bottom whose diameter is 20 cm and thickness 0.6 cm. Heat is transferred steadily to boiling water in the pan through its bottom at a rate of 700 W. If the inner surface of the bottom of the pan is 105 degrees * C , determine the temperature of the outer surface of the bottom of the pan. Q1:H.W. Q: An aluminum pan whose thermal conductivity is 237 W/m-°C has a flat bottom with diameter 20 cm and thickness 0.4 cm. Heat is transferred steadily to boiling water in the pan through its bottom at a rate of 800 W. If the inner surface of the bottom of the pan is at 105°C, determine the temperature of the outer surface of the bottom of the pan. 105°C 0.4 cm Answer: T= 105.43 °C 800 W 7Q2 : A 2 kW resistance heater wire with thermal conductivity of k = 20 W/m °C, a diameter of D = 5 mm, and a length of L3D0.7 m is used to boil water. If the outer surface temperature of the resistance wire is Ts = 110°C, determine the temperature at the center of the wire. Ans : 121.4 °C
- The bottom of a 50mm diameter, 2mm thick metallic induction heater is 120C while its thermal conductivity is 60 W/m-C. The voltage and current flowing into the heater are 220V and 5A, respectively. Find the temperature at the top portion of the pan. Sketch diagram and show pertinent solutions. Box your final answer and express numerical values in 2 decimal placesQ2 A 2 kW resistance heater wire with thermal conductivity of k = 20 W/m °C, a diameter of D = 5 mm, and a length of L= 0.7 m is used to boil water. If the outer surface temperature of the resistance wire is Ts= 110°C, determine the temperature at the center of the wire. Q3: Consider a 20-cm-thick large concrete plane wall (k = 0.77 W/m °C) subjected to convection on both sides with T1 = 27°C and h₁ = 5 W/m² °C on the inside, and T2 = 8°C and h₂ = 12 W/m² °C on the outside. Assuming constant thermal conductivity with no heat generation and negligible radiation, (a) express the differential equations and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall. Ans: (a) Ans: 121.4 °C dT (L) -k dx -=h₂ [T(L)-T₂] (b) T(x) = 20-45.44x Q4: A double pane window consists of 3 mm thick…6. a. The heat flux applied to the walls of the biomass combustion furnace is 20 W/m2. The furnace walls have a thickness of 10 mm and a thermal conductivity of 12 W/m.K. If the wall surface temperature is measured to be 50oC on the left and 30oC on the right, prove that conduction heat transfer occurs at a steady state!b. Heating the iron cylinder on the bottom side is done by placing the iron on the hotplate. This iron has a length of 20 cm. The surface temperature of the hotplate is set at 300oC while the top side of the iron is in contact with the still outside air. To reach the desired hotplate temperature, it takes 5 minutes. Then it takes 15 minutes to measure the temperature of the upper side of the iron cylinder at 300oC. Show 3 proofs that heat transfer occurs transiently
- Posting it second time . Answer all else dont answer - You are using a silver spoon to stir water that just started boiling so that you can achieve a more even heat distribution in your water. The spoon is partially immersed in boiling water and a thermometer in your kitchen reads 27 °C. The handle of the spoon has a cross section of 2mm × 1cm and extends 15 cm in the air from the free surface of the water. The heat transfer coefficient at the exposed surfaces of the spoon handle is 3 W/m2 ×K. Part A : Determine the temperature difference across the exposed surface of the spoon handle. Follow the problem-solving guide on the front page. At the minimum, your analysis should answer the following questions providing detailed justifications:-What are the modes of heat transfer that the spoon is exposed to? -Is this a time dependent or steady state problem? Why or why not?-Is this a 1-D, 2-D or 3-D problem? Why or why not?- What is the thermal conductivity of the material?- The heat…3-18E Consider an electrically heated brick house (k = 0.40 Btu/h ft-°F) whose walls are 9 ft high and 1 ft thick. Two of the walls of the house are 50 ft long and the others are 35 ft long. The house is maintained at 70°F at all times while the temperature of the outdoors varies. On a certain day, the temperature of the inner surface of the walls is measured to be at 55°F while the average temperature of the outer surface is observed to remain at 45°F during the day for 10 h and at 35°F at night for 14 h. Determine the amount of heat lost from the house that day. Also determine the cost of that heat loss to the homeowner for an electricity price of $0.09/kWh. FIGURE P3-18E 9 ft TiD=70°F 50 ft 35 ftSaved Help Save & Exit A 2-kW resistance heater wire with thermal conductivity of k= 70 W/m-K, a diameter of D= 4 mm, and a length of L = 0.9 m is used to boil water. If the outer surface temperature of the resistance wire is Ts= 230°C, determine the temperature at the center of the wire. (Round your answer to a single decimal place.) 230 C -D→ es Resistance heater The temperature at the center of the wire is °C 18°C Clear ^ 4 ENG
- 4-31 The temperature of a gas stream is to be measured by a thermocouple whose junction can be approximated as a 1.2-mm-diameter sphere. The properties of the junction are k 35 W/m K, p = 8500 kg/m3, and c, = 320 J/kg-K, and the heat transfer coefficient between the junction and the gas is h = 110 W/m2-K. Determine how long it will take for the thermocouple to read 99 percent of the initial temperature difference. Answer: 22.8 sQ: 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= 0.3mWrite your answer in 4 decimal places. DO NOT round off intermediate values. Use T(K) = T(°C) + 273. A 1-m-inner diameter liquid oxygen storage tank at a hospital keeps the liquid oxygen at 90 K. This tank consists of a 0.5-cm-thick aluminum (k = 170 W/m· K) shell whose exterior is covered with a 10-cm thick layer of insulation (k = 0.02 W/m K). The insulation is exposed to the ambient air at 20 °C and the heat transfer coefficient on the exterior side of the insulation is 5 W/m2. K. The temperature of the exterior surface of the insulation is °C