Determine the rate of heat loss per unit length (q), in W/m, and outer surface temperature T,2, in K, for the steam pipe with the inner surface temperature fixed at T, = 800 K, inner radius ri = 0.06 m, and outer radius r = 0.08. The outer surface is exposed to an airflow (T = 25°C) that maintains a convection coefficient of h = 25 W/m2-K and to large surroundings for which Tur = Ta = 25°C. The surface emissivity of calcium silicate is approximately 0.8. W/m
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- As shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. 12. Ts.2} 1. Ts,1} Steam Insulation (a) If the insulation is 17.5 mm thick and its inner and outer surfaces are maintained at T,1 = 800 K and Ts,2 = 490 K, respectively, what is the rate of heat loss per unit length (q') of the pipe, in W/m? (b) Determine the rate of heat loss per unit length (q'), in W/m, and outer surface temperature T.2, in K, for the steam pipe with the inner surface temperature fixed at Ts,1 The outer surface is exposed to an airflow (T = 800 K, inner radius ri = 0.06 m, and outer radius r2 = 25°C) that maintains a convection coefficient of h = 25 W/m2-K and to = 0.1 m. large surroundings for which Tsur = T_ = 25°C. The surface emissivity of calcium silicate is approximately 0.8.As shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. 12. Ts.2} 1, Ts,1} Steam Insulation = 490 K, respectively, (a) If the insulation is 27.5 mm thick and its inner and outer surfaces are maintained at T,1 what is the rate of heat loss per unit length (q) of the pipe, in W/m? = 800 K and T,2 (b) Determine the rate of heat loss per unit length (q'), in W/m, and outer surface temperature T,2, in K, for the steam pipe with the inner surface temperature fixed at T1 = 800 K, inner radius rį = 0.06 m, and outer radius ry = 0.12 m. The outer surface is exposed to an airflow (T, = 25°C) that maintains a convection coefficient of h = 25 W/m2-K and to large surroundings for which Tsur = T, = 25°C. The surface emissivity of calcium silicate is approximately 0.8. %3DAs shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. 1. Ts. 1} Steam 12. T8.2} Insulation (a) If the insulation is 27.5 mm thick and its inner and outer surfaces are maintained at T1 = 800 K and T2 = 490 K, respectively. what is the rate of heat loss per unit length (q') of the pipe, in W/m? (b) Determine the rate of heat loss per unit length (q'), in W/m, and outer surface temperature T2, in K, for the steam pipe with the inner surface temperature fixed at T₁ = 800 K, inner radius r₁ = 0.06 m, and outer radius r₂ = 0.14 m. The outer surface is exposed to an airflow (To = 25°C) that maintains a convection coefficient of h = 25 W/m²-K and to large surroundings for which Tsur = To = 25°C. The surface emissivity of calcium silicate is approximately 0.8.
- As shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. 12. Ts.2} 1, Ts,1} Steam Insulation 800 K and T,2 490 K, respectively, (a) If the insulation is 25 mm thick and its inner and outer surfaces are maintained at T,1 what is the rate of heat loss per unit length (d ) of the pipe, in W/m? (b) Determine the rate of heat loss per unit length (d'), in W/m, and outer surface temperature T,2, in K, for the steam pipe with the inner surface temperature fixed at T,1 = 800 K, inner radius rį = 0.06 m, and outer radius r2 = 0.16 m. The outer surface is exposed to an airflow (T, = 25°C) that maintains a convection coefficient of h = 25 W/m2-K and to large surroundings for which Tsur 25°C. The surface emissivity of calcium silicate is approximately 0.8.As shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. "2. Ta2} 1. Ta,1} Steam Insulation (a) If the insulation is 10 mm thick and its inner and outer surfaces are maintained at T, = 800 K and Ta = 490 K. respectively,. what is the rate of heat loss per unit length (q) of the pipe, in W/m? (b) Determine the rate of heat loss per unit length (d), in W/m, and outer surface temperature T,2, in K, for the steam pipe with the Inner surface temperature fixed at T = 800 K, inner radius = 0.06 m, and outer radius n = 0.18 m. The outer surface is exposed to an airflow (T 25°C) that maintains a convection coefficient of h = 25 W/m2-K and to large surroundings for which Tur = T, = 25°C. The surface emissivity of calcium silicate is approximately 0.8.A wall of a house is made from two layers of bricks enclosing a layer of insulation. A radiator is positioned to cover the whole internal surface, and used intermittently when the internal temperature is low. The external surface is exposed to the outside air. Which of the following assumptions could be used to identify the relevant reduced form of the conduction equation to find the temperature in the wall. a. Conduction is mainly in two directions. b. Conduction is mainly in one direction. c. The wall properties are homogeneous. d. Steady conditions exist. e. Unsteady conditions exist. f. There is an internal volumetric heat generation in the wall.
- 3. A cylindrical pipe of negligible thickness holding a hot fluid at 140°C and having an outer diameter of 0.4 m is insulated with three layers of each 50 mm thick insulation of k₁ = 0.02: k2 = 0.06 and k3 = 0.16 W/m-K (starting from inside). The outside surface temperature is 30°C. Solve for the value of T2 (°C). • show conversions, units, and box in your final answersa. A slab of thermal insulator is 100 cm² in cross section and 2 cm thick. Its thermal conductivity is 2.4 x 10 -+ cal/(s cm C"). If the temperature difference between opposite faces is 180 F', how much heat flows through the slab in one day?Q1. Consider the composite materials shown in figure. 1. Sketch the equivalent thermal resistance. 2. Calculate the heat transfer per unit area of the wall. 3. Determine the temperatures at interface between the layers. Material A k (W/m K) 2.1 B 6.7 C 3.5 T-15 °C C B C 195 1/4 14h-10 W/m² K -T=50 °C HATH 320.0020 30 mm -
- 8) Consider two liquids, A and B. with temperatures Te > TA. The two objects are put into thermal contact for a time period. Without just saying 'heat flows from hot to cold' how would you prove to someone that a quantity of heat flowed from B to Á. (think of James Joule's experiments) 9) If the temperature of the sun were to suddenly double, by what multiplicative factor would the thermal radiation change ? Show WorkShape Factor Conduction Problem A cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontally such that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m (D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume that heated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T2). The soil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivity is known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)? Soil Glass insulation Oil, TProblem 1. 67 pts bar shown below, determine the temperatures at Nodes 2 and 3. Assume 1-D heat transfer that only occurs in the x-direction as the upper and lower 1-D Heat Transfer with Conduction. For the 1-D composite boundaries of the elements are insulated. Assume the cross-sectional area is the same for all elements, A=0.01 m?. For Element 1, let the thermal conductivity be 100 W/(m °C). For Element 2, let the thermal conductivity be 110 W/(m °C). For Element 3, let the thermal conductivity be 120 W/(m °C). The left end of the bar has a constant temperature of 120 °C (at Node 1) and the right end has a constant temperature of 276 °C (at Node 4). Insulated, 1-d heat transfer in x-dir Node 1 Node 2 Node 3 Node 4 +x 120°C E1 E2 ЕЗ 276°C 1 mm 2 mm 0.5mm Insulated