A current of 200 A is passed through a stainless-steel wire [k=19 W/mK] 3 mm in diameter. The resistance of the steel may be taken as 0.099 ohm, and the length of the wire is 1 m. The wire is submerged in a liquid at 110 C and experiences a convection heat-transfer coefficient of 4 kW/m?K. Calculate the center and surface temperatures of the wire. Resistance heater
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- 3.A steam at 118°C is flowing inside a diameter of 40 mm, thickness of 10 mm ceramic pipe (k=1.52 W/mK). The pipe is insulated with 25 mm of insulator (k=0.064 W/m K). The convective coefficient for steam inside the pipe is h;=20.7 W/m²K and the convective coefficient for air outside the pipe is h.=0.07W/m²K. The air is at a temperature of 28°C ? (1)Calculate the heat loss per unit length of 1m of pipe (W)? (2)Repeat, using the overall U; based on the inside area A; ?1.)An aluminum tank with a volume of 1000 liters is filled with gasoline. Both are at a temperature of 12°C. The tank is transported to a place where the temperature is 37° and, due to the difference between the volumetric expansion coefficients of the metal and the liquid, the ebb of the tank. Assuming the tank expands like a massive volume of aluminum, how many liters of gasoline overflow from the tank? Data: βaluminum=7*10-5/ºC and βgas=9.5*10-4/ºCExample: current of 200 A is passed through a stainless-steel wire [k = 19 W/m · ◦C] 3 mm in diameter. he resistivity of the steel may be taken as 70 μ · cm, and the length of the wire is 1 m. The ire is submerged in a liquid at 110 ◦C and experiences a convection heat-transfer coefficient of k W/m2 · ◦C. Calculate the center temperature of the wire.
- A wall consists of a layer of wood and a layer of cork insulation of the same thickness. The temperature inside is 34.0°C, and the temperature outside is 0.0°C. The thermal conductivity of wood is 0.130 W/(m·K) and the thermal conductivity of cork is 0.0460 W/(m·K). A) What is the temperature at the interface between the wood and the cork if the cork is on the inside and the wood on the outside? in C B) What is the temperature at the interface if the wood is on the inside and the cork is on the outside? in C C) It doesn’t matter whether the cork is placed on the inside or the outside of the wooden wall because the temperature at the interface differs for the two cases.the temperature at the interface differs for the two cases. the temperature at the interface is the same for the two cases.the temperature at the interface is the same for the two cases. the total thermal resistance is the same for the two cases.the total thermal resistance is the same for the two cases.…A square silicon chip (k = 150 W/m • K) has side width w = 5 mm and thickness z = 1 mm.The chip is mounted on a substrate so that its sides and interior surface are insulated. whilethat the front surface is exposed to a cooling fluid.If 4 W is dissipated from the circuitry mounted on the back surface of the chip, what is the difference insteady-state temperatures between the bottom and front surfaces?A solid rod has a temperature profile described by the equation T= 5x+100 (K) and a thermal conductivity of k=10 (W/m*K) What is the heat flux, q?
- Question 5:Assume steady-state, one-dimensional heat conduction through the symmetric shape shown in Figure 1.Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for these conditions: A(x) = (1 -x), T(x) = 300(1 - 2x -x3),and q = 6000 W, where A is in square meters, T in kelvins, and x in meters. Consider x= 0 and 1For a specified heat input and a given volume which material will have the smallest tempera- ture rise (Use data book if necessary) (a) steel (b) aluminium (c) water (d) copper. When a hot metal piece is left to cool in air the time rate of cooling of the outer layer will be (a) slower at start and faster near the end (b) faster at start and slower near the end (c) both rates will be the same (d) this will depend on the material. (viii) A thin black plate at temperature T receives radiation from a surface at Temperature T1 and radiates to a surface at T2. If all surfaces are black at steady state (a) (T1 – T) > (T – T2) (b) (T1 – T) < (T – T2) (c) (T1 – T) = (T – T2) (d) can be any one of a, b or c. (ix) The temperature profile (in) a slab initially at a constant temperature and then allowed to cool by convection for a short time will be as shown in Fig : (a) E1.2a (b) E1.2b (c) E1.2c (d) E1.2d. TiQuestion 2: The composite wall of an oven consists of three materials, two of which are of known thermal conductivity, kA 20 W/m K and kC50 W/m K, and known thickness, LA 0.30 m and LC 0.15 m. The third material, B, which is sandwiched between materials A and C, is of known thickness, LB 0.15 m, but unknown thermal conductivity kB. Under steady-state operating conditions, measurements reveal an outer surface temperature of Ts,o 20°C, an inner surface temperature of Ts,i 600°C, and an oven air temperature of T 800°C. The inside convection coefficient h is known to be 25 W/m2 K. What is the value of kB?
- After the sinking of RMS Titanic, US operated the International Ice patrol with the purpose of monitoring the presence and movements of icebergs in the Atlantic and Arctic oceans. Once, they observed a unique tabular iceberg in a form of a rectangle (250 km x 50 km x 300 m). How many years would it take to melt the iceberg solely by heat from the sun if the ice absorbs a mean of 98 J/m2 -s, 12.5 hrs per day? Note: the exposed area for heating is 250 km x 50 km and the density is 920 kg/m3 . This is my solution.4 ) Every temperature measuring instrument makes use of specific physical property in order to measure temperature objectively . Which physical properties are used in thermocouple , PT sensors and mercury - in - glass thermometer ? Briefly describe each of this methods.1. Residual oil, with a heating value of 18,480 BTU/bm, is used as a fuel in a power plant which produces 947,870 BTU/s of electricity. The overall efficiency of the power plant is 52 Determine the: a. Heat input, in BTUs b. Daily fuel consumption, in lbm C. Dimensions of the cylindrical storage (assuming length is equal to the diameter), in ft. d. Heat rejected the environment, in BTU/s. The density of the oil is 62 ID/ft.