Heat loss through an insulation (k = 0.05 W/m·C) is 125 W/m2. The temperature gradient across the insulation is 100 C. Find the thickness of the insulation.
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Heat loss through an insulation (k = 0.05 W/m·C) is 125 W/m2.
The temperature gradient across the insulation is 100 C. Find the
thickness of the insulation.
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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.Q1/The thermal conductivity 14.4w/m.k for the block of stainless steel shown below is well insulated on the front and back surfaces, and the temperature in the block varies linearly in both the x- and y directions, Find: The heat fluxes and heat flows in the x- and y-directions. 5 cm 15°C 10°C -5 cm - 10 cm 5°C 0°C Q2-Consider a two layer composite wall of copper and Teflon as shown below. The copper has a thickness of 10cm but the thickness of the Teflon is to be determined. The temperature on the left boundary is equal to 200 C and on the right boundary 25C. Determine the thickness of the Teflon layer so that the heat flux is equal to 200W/m2. L2 T = 200C Te = 25 C L1 = 01m TA T3 %3D - 007 = 5 coper télon TcTwo walls of cold storage plant are composed of an insulating material (k = 0.25 kJ/hr-m-°C), 100mm thick at the outer layer and material (k = 3.5 kJ/hr-m-°C), 15mm thick at inner layer. If the surface temperature at the cold side is 30 °C and hot side is 250 °C, find the heat transmitted per square meter.
- Consider a plate whose thickness is 2L=20 cm and thermal conductivity is 20 W/mK. Heat generation inside the plate (104 W/m³) is uniform. The plate is placed in an environment at T=20°C and convective heat transfer coefficient is h=16 W/m²K. Find the temperature at the center of plate. h To -L O a. 45 °C O b. 75 °C O c. 67 °C O d. 85 °C О е. 90 °СThe walls of a house consists of L=0.02 m thick plywood backed byinsulation with the same thickness. The temperature of the inside surface of the wall (the insulation side) is T2=25 oC, while the temperature at the outside surface (the plywoodside) is T1= -15 oC, both being constant. The thermal conductivities of the plywood and insulation are, respectively k1=0.09 J/(s m oC) and k2=0.03 J/(s m oC). a) Find the temperature T at the plywood – insulation interface. b) If the total surface area of the walls is 70 m2, find the amount of heat the house loses in 24 hours. (Assuming all the heat losses are due to the thermal conductivity of the walls). c) Does the entropy of the house change? If it does, by how much?d) Does the entropy of the Universe change? If it does, by how much?e) If the cost of electric power is $0.15 per kilowatt hour, how much one has to pay to keep the house warm for 24 hours?A gas filled tube has 2 mm inside diameter and 25 cm length. The gas is heated by an electrical wire of diameter 50 microns (o.05 mm) located along the axis of the tube. Current and voltage drop across the heating element are 0.5A and 4 volts, respectively. If the measured wire and inside tube wall temps are 175C and 150C respectively, find the thermal conductivity of the gas filling the tube.
- An electric wire having a diameter of 1.5 mm and covered with a plastic insulation (thickness = 2.5 mm) is exposed to air at 300 K and ho=20 W/m2.K. The insulation has a thermal conductivity (k) of 0.4 W/m.K. Assuming the wire surface temperature is constant at 400 K and is not affected by the covering a)Calculate the value of the critical radius. b)Calculate the heat loss per meter of wire length with no insulation. c)Calculate the heat loss per meter of wire length with insulation.4. A wall of thickness 10cm conducts heat at rate of 30W/m² when the temperature difference across wall is 10K. What is thermal conductivity (W/mK)Find the conduction resistance of a composite plane wall made of three materials of conductivity 100 W/mK, 10W/mK and 1.0 W/mK and thickness as 5mm, 10mm and 50 mm respectively.
- A 1-D conduction in a plane composite wall. The outer surfaces are exposed to a fluid at 25 °C and a convection heat transfer coefficient of 1000 W/m²/K. The middle wall B experiences uniform heat generation qB, while there is no generation in walls A and C. The temperatures at the interfaces are T₁ = 261 °C and T₂ = 211 °C. Find ġ and thermal conductivity kg. T₁ T2 Too, h 111 A B ав -2LB KA = 25 W/m.K kc = 50 W/m.K Ick LA = 30 mm LB = 30 mm Lc = 20 mm Too, hA pipe made of material A have an outside diameter of 30 cm and inside diameter of 25 cm. The pipe is insulated by 31 cm thickness of Material B. The thermal conductivity of Material A and Material B is 70 and 11 respectively. If the w w temperature of the inner layer of the pipe is 1200K, the temperature of the outside layer pipe is 1100K, and the temperature on the outer layer of insulation is 350K. Find Q and Resistance to heat flow. L= 1.31 m m-K m-KQ2- 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,