A wire of radius r1 = 0.7cm and thermal conductivity k= 8 w/m.C°. Electrical energy is converted to heat energy by wire at constant rate per unit volume e'= 3.3×10® W/m³ and heat is transferred to water at 109°C by convection heat transfer coefficient h = 2128 W/m?.C° Assuming study one dimension heat transfer find temperature at center.
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- 2.46 The wall of a liquid-to-gas heat exchanger has a surface area on the liquid side of with a heat transfer coefficient of . On the other side of the heat exchanger wall flows a gas, and the wall has 96 thin rectangular steel fins 0.5 cm thick and 1.25 cm high as shown in the accompanying sketch. The fins are 3 m long and the heat transfer coefficient on the gas side is . Assuming that the thermal resistance of the wall is negligible, determine the rate of heat transfer if the overall temperature difference is .3.17 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?2.2 A small dam, which is idealized by a large slab 1.2 m thick, is to be completely poured in a short Period of time. The hydration of the concrete results in the equivalent of a distributed source of constant strength of 100 W/m3. If both dam surfaces are at 16°C, determine the maximum temperature to which the concrete will be subjected, assuming steady-state conditions. The thermal conductivity of the wet concrete can be taken as 0.84 W/m K.
- An electric motor is to be connected by a horizontal steel shaft (k - 42.56 W/m.K), 25 mm in diameter to an impeller of a pump, circulating liquid metal at a temperature of 540°C. If the temperature of electric motor is limited to a maximum value of 52°C with the ambient air at 27°C and heat transfer coefficient of 40.7 W/m?K, what length of shaft should be specified between the motor and pump ?A 10-mm-inner-diameter pipe made of commercial steel is used to heat a liquid in an industrial process. The liquid enters the pipe with Ti=25°C, V=0.8 m/s. A uniform heat flux is maintained by an electric resistance heater wrapped arounf the outer surface of the pipe, so that the fluid exits at 75°C. Assuming fully developed flow and taking the average fluid properties to be ρ=1000 kg/m3, cp=4000 J/kg·K, µ=2x10-3 kg/m·s, k=0.48 W/m·K, and Pr=10, determine: The required surface heat flux , produced by the heater The surface temperature at the exit, Ts The pressure loss through the piper and the minimum power required to overcome the resistance to flow.10 cm thick and 1 m wide long when a steel plate is at temperature Ti = 240 ° C, T0 = 40 ° C It is immersed in the hot oil bath. With sheet Heat transfer coefficient between oil h = 600 W / m2K and p = 7833 kg / m3 for steel , cp = 465 J / kgK, k = 43 W / mK, α = 1.2x10-5 m2 / s. a)How much the core temperature of the steel plate after time becomes 100 ° C ? b)What is the temperature inside 3 cm from the surface of the steel plate? c)Within this period, per unit length plate what will be the amount of heat that passes?
- a] Steam at 280 oC, tube=26 W/m. It flows at a speed of 4.0 m/s along a pipe made of iron-steel material with a temperature of 0°C. The inner diameter of the iron-steel pipe is 6.0 cm and the outer diameter is 6.8 cm. In order to reduce the heat transfer, the iron-steel pipe is first covered with 2.0 cm thick glass wool (k = 0.38 W/m. oC), then with another 3.5 cm thick insulation material (k = 0.01 W/m. oC). The insulated iron-steel pipe is in the atmospheric environment where the temperature is 18 oC. The convective heat transfer coefficient on the outside atmospheric side of this pipe, where the steam flows, is 36 W/m2. oC, the film heat transfer coefficient on the steam side is 80 W/m2. Calculate the heat transferred per unit pipe length (W/m), since it is known to be °C. b] Calculate the thickness of the material when the pipe is sheathed externally with a material with a thermal conductivity of k=0.02 W/m.oC in order to reduce the heat to be transferred by 20% in the unit pipe…A pipe with a 1.5 cm in diameter and 10 min length is gaining 800 W/m2 constant heat from its outer surface. Water enters the pipe at 25 °C with velocity of 0.1 m/s. What is the wall temperature at the exit plane of the pipe? Assume that all gaining heat is transferring the water. For water: k = 0.6 W/mK, ν = 0.75x10-6 m2/s, ρ = 1000 kg/m3, cp = 4187 J/kgK, Pr = 6. Please choose one: A. 30.10 °C B. 40.50 °C C. 34.68 °C D. 35.56 °CGiven a plaster of paris (PoP) slab with L = 0.052 cm, W = 0.052 cm, and H = 0.0095 cm, what is the heat transfer coefficient if the biot number is 0.19682? Other data (if necessary):Initial Temperature: 328.2 CSurrounding Temperature: 27.9 CPoP Density: 680 kg/m^3Heat Capacity: 1090 J/kgKThermal Conductivity: 0.1185 W/mK
- 5.17 In the liquid heating tank shown in the figure below, density = 0.8g/cm^3, V=500cm^3, Cp=0.5cal/(g C), the total heat transfer area of the heating coil is 20cm^2, and the total heat transfer coefficient is 10cal/ (cm^2 hr C). Inside the coil, hot oil flows with a temperature of Tq. Find the temperature T(t) of the fluid when the temperature of the oil changes as shown in the figure at any moment, ignoring the temperature difference between the surface of the heating coil and the oil.Given a plaster of paris (PoP) slab with L = 0.052 cm, W = 0.052 cm, and H = 0.0095 cm, what is the heat transfer coefficient if the biot number is 0.19682? Attached is the Heisler Chart below. Other data (if necessary):Initial Temperature: 328.2 CSurrounding Temperature: 27.9 CPoP Density: 680 kg/m^3Heat Capacity: 1090 J/kgKThermal Conductivity: 0.1185 W/mKSuppose that the 10 cm thick concrete wall of a commercial building measures 30 mby 4 m. The energy impinging on the surface is 700 W/m^2. Under these conditionsthe external air temperature is 25ºC, and the internal and external surfacetemperatures of the concrete wall are 17ºC and 40ºC, respectively. Calculate the net amount of thermal energy radiated by the wall answer = 41,880 W Data for wall: Heat transfer coefficient of air at 25ºC = 5 W/m^2KThermal conductivity of concrete = 1.2 W/mKEmissivity of concrete = 0.85Stefan’s constant = 5.7 x 10^-8 W/m^2K^4