2. A rod that is 1.5 m long is made up of 0.75 m copper and 0.75 m aluminum of equal cross- sectional area and joined end to end. The rod is well insulated that there is no heat loss along the sides. The copper end is at 125 °C while the aluminum end is at 25 °C. Assuming a steady-state heat conduction, find the (a) amount of heat conducted per unit time and area of the rod and (b) temperature I at the copper-aluminum interface. (katuminum 240 .m sc and keonper = 390 m ec)
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- A plane wall of thickness 2L has internal heat sources whose strength varies according to qG=qocos(ax) Where qo is the heat generated per unit volume at the center of the wall (x=0) and a is a constant. If both sides of the wall are maintained at a constant temperature of Tw, derive an expression for the total heat loss from the wall per unit surface area.1.63 Liquid oxygen (LOX) for the space shuttle is stored at 90 K prior to launch in a spherical container 4 m in diameter. To reduce the loss of oxygen, the sphere is insulated with superinsulation developed at the U.S. National Institute of Standards and Technology's Cryogenic Division; the superinsulation has an effective thermal conductivity of 0.00012 W/m K. If the outside temperature is on the average and the LOX has a heat of vaporization of 213 J/g, calculate the thickness of insulation required to keep the LOX evaporation rate below 200 g/h.2.15 Suppose that a pipe carrying a hot fluid with an external temperature of and outer radius is to be insulated with an insulation material of thermal conductivity k and outer radius . Show that if the convection heat transfer coefficient on the outside of the insulation is and the environmental temperature is , the addition of insulation actually increases the rate of heat loss if , and the maximum heat loss occurs when . This radius, is often called the critical radius.
- 1.3 A furnace wall is to be constructed of brick having standard dimensions of Two kinds of material are available. One has a maximum usable temperature of 1040°C and a thermal conductivity of 1.7 W/(m K), and the other has a maximum temperature limit of 870°C and a thermal conductivity of 0.85 W/(m K). The bricks have the same cost and are laid in any manner, but we wish to design the most economical wall for a furnace with a temperature of 1040°C on the hot side and 200°C on the cold side. If the maximum amount of heat transfer permissible is 950 , determine the most economical arrangement using the available bricks.A finned surface has been added to cool an electronic part. The surface temperature of the electronic part in contact with the fins is 60 ° C, the convection coefficient between the environment and the finned surface is 40 W / m².K and the heat conduction coefficient for the fin material (aluminum) is 180 w / m.K. a. If the electronic part has wings or no blades, the amount of heat per unit time (W) thrown into the environment, b. Find out wing effectiveness and efficiency?Thermodynamics In a solid sphere of 0.2 m diameter, heat is generated at the rate of 1.2 x 106 W/m3. The center temperature is 300°C. Conductivity is 50 W/m-K. What is the surface temperature?
- 4) In an experiment to find the thermal conductivity, a metallic rod of diameter 25 mm is placed in a furnace such that its one half is inserted into the furnace and other half is projected out in a room at 300 K. Once the steady state reached, the temperatures measured between two points 76 mm apart were 399 K and 364 K, respectively. Taking a convection coefficient of 22.7 W/m 2 – K, find the thermal conductivity of the metal.A small sphere (emissivity = 0.745, radius = r1) is located at the center of a spherical asbestos shell (thickness = 1.72 cm, outer radius = r2; thermal conductivity of asbestos is 0.090 J/(s m Co)). The thickness of the shell is small compared to the inner and outer radii of the shell. The temperature of the small sphere is 727 °C, while the temperature of the inner surface of the shell is 406 °C, both temperatures remaining constant. Assuming that r2/r1 = 6.54 and ignoring any air inside the shell, find the temperature in degrees Celsius of the outer surface of the shell.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.
- A finned surface has been added to cool an electronic part. The surface temperature of the electronic part in contact with the fins is 60 ° C, the convection coefficient between the environment and the finned surface is 40 W / m? .K and the thermal conductivity coefficient for the fin material (aluminum) is 180 W / m.K. a. The amount of Heat (W) per unit time thrown into the environment in case the electronic part has wings or no blades, b. Find out wing effectiveness and efficiency?Two parts and label (A) & (B) Solve carefully! Question : The roof of a car in a parking lot absorbs a solar radiant flux of 600 W/m2, while the underside is perfectly insulated. The convection coefficient between the roof and the ambient air is 15 W/m2.K and the roof’s surface emissivity is 0.5. If the ambient air temperature is 25C, answer the following questions: PART (A) Neglecting radiation heat transfer, find the temperature of the roof under steady state conditions. Part ( B) Neglecting convective heat transfer, find the steady state temperature of the roof [Tsur =0]?1a.A copper slab ( k = 372 W/m .K ) is 3mm thick . it is protected from the corrosion on each side by a 2 mm thick layer of stainless steel ( k = 17 W/m .K ) . The temperature is 40oC on one side of this composite wall and 100oC on the other. Find the temperature distribution in the copper slab and the heat conducted through the wall. Given: ksteel = 17 W/m .K kcopper = 372 W/m .K Steel Copper Steel T1 = 40oC T2 T3 T4 = 10oC q…