A 1.0-mm-diameter wire is maintained at a temperature of 400 °C and exposed to a convection environment at 40 °C with h = 120 W/m2. C. Calculate the thermal conductivity in BTU/hr-ft-deg F that will just cause an insulation thickness of 0.2 mm to produce a "critical radius." A) 0.257 B 0.157 0.327 0.084
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A 1.0-mm-diameter wire is maintained at a temperature of 400 •C and exposed to a convection environment at 40 •C with h = 120 W/m2 • -C. Calculate the thermal conductivity in BTU/hr-ft-deg F that will just cause an insulation thickness of 0.2 mm to produce a "critical radius."
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- 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 11.2.30 An electrical heater capable of generating 10,000 W is to be designed. The heating element is to be a stainless steel wire having an electrical resistivity of ohm-centimeter. The operating temperature of the stainless steel is to be no more than 1260°C. The heat transfer coefficient at the outer surface is expected to be no less than in a medium whose maximum temperature is 93°C. A transformer capable of delivering current at 9 and 12 V is available. Determine a suitable size for the wire, the current required, and discuss what effect a reduction in the heat transfer coefficient would have. (Hint: Demonstrate first that the temperature drop between the center and the surface of the wire is independent of the wire diameter, and determine its value.)Q2- Water flows inside a steel pipe with an ID of 2.5 cm. The wall thickness is 2 mm, and the convection coefficient on the inside is 100 Wm? C. The convection coefficient on the outside is 10 W/n C. The pipe is covered with a layer of asbestos. 1-determine the thickness of the asbestos layer at the critical insulation radius of the pipe. 2-calculate the change percent of heat transfer with and without the insulation. 3-commet on your results,
- 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 answersSuppose a 3 in schedule 80 steel pipe is covered with 1 in of an insulation havingk = 60 mW/moC and the outside of the insulation is exposed to an environmenthaving h = 10 W/m2oC and Tf = 20oC. The temperature of the inside of the pipe is250oC. For unit length of the pipe calculate (a) the overall thermal resistance and(b) the heat loss (in Watts).A 10-m-long, 5-cm-outer-radius cylindrical steam pipe is covered with 3-cm thick cylindrical insulation with a thermal conductivity of 0.05 W/m. °C. If the rate of heat loss from the pipe is 1000 W, what would be the temperature drop (in °C) across the insulation? Select one: O a. 163°C b. 48°C c. 79°C d. 150°C e. 600°C
- An office space of 14 ft x114 ft x12 ft height. The heat loss through roof is (5131.3 Btuh) if Tb.l.=70 F, To= 5 F , and Uwall=0.35 Btu/hr.ft2.F * O True O FalseA 1000 m³ cubic building (meaning it is a cube with sides of length 10.0 m) has concrete walls 20 cm thick. Concrete has a thermal conductivity of 1.25 W/(mK). An indoor temperature of 21 C is maintained. If it is -15 C outside determine the rate of heat loss from the building. Answer: Check ✓ Choose... W JAs 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.
- An external wall of a building has a U value of 0.50 W/m^2K. The indoor temperature is21 degrees C and the outdoor temperature is -2.0 degrees The steady-state heat loss is calculated to be 11.5W/m^2 The wall contains a layer of insulation 40 mm thick with a conductivity of0.035 W/mK. What would the insulation thickness need to be in order toreduce the steady state heat loss by 50%? answer = 0.11mA coolant with a temperature of -20 ° C passes through a copper cylindrical wire. The outer diameter of the wire is 10 mm. The wire is in contact with air at a temperature of 25 ° C, which is h = 50 W / m2K. The heat conduction coefficient of the wire is k = 0.5 W / mK. Different thicknesses of insulation will be applied to the wire. a) Calculate separately the heat transfer rate per m when 0, 2.5, 5 and 7.5 m insulation is applied. b) Interpret from which thickness the insulation will increase the heat transfer by calculating the critical radius. c) Graph the insulation thickness and heat transfer rate against each other.For your company you need to mass produce 20-cmx10-cm heat sinks to dissipate heat quickly from an equipment. After considering several other parameters, you have short-listed two possible designs: A. 72 straight pin fins made of an alloy (thermal conductivity 240 W/m-°C) that costs $9,000 per m³. Each pin is 4 cm long and 1-cm diameter. E.=3'18; $204 B. 64 straight rectangular fins made of another alloy (thermal conductivity 180 W/m.°C) that costs $12,000 per m³. Each pin is 4 cm long and has 2-cmx1-cm cross-section. Eo =7:94%$ 6·14 The convection coefficient of the operating condition is approximated as 15 W/m2.°c. Consider that the manufacturing cost is same for both designs but the material cost differs. Calculate and compare the cost and performance (in terms of heat transfer gains by the heat sinks) of the two heat sinks so that a decision can be made to select a design.