A long wire (k-8 W/m °C.) with ro 5 mm and surface temperature Ts=180°C as shown in Fig.2. Heat is generated in the wire uniformly at a rate of 5 x107 W/m³. If the energy equation is given by: d 11(77) + - =0 k r dr dr Derive an expression for T(r) and determine the temperature at the center of the wire and at r=2 mm. Air Th T KA LA T2 T3 T Fig.1 KB kc 180°C Го Fig.2
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- 350 pipes are fixed as square in a pipe bundle used for condenser. PipeThe outer diameters are 8 mm and the steam at 0.2 bar is desired to be condensed on the pipes. pipe outer The surface temperature is kept constant at 30 °C. If the length of the pipes is 1.5 m, the heat transferred in the systemCalculate the amount of energy and the amount of condensed steamPls answer q3(as I am still not sure whether or not I did q2 correctly)A single-phase fluid reservoir is described by four equal blocks as. The reservoir is horizontal and has homogeneous and isotropic rock properties. k-270 md and -0.27. The gridblock dimensions are Ax-300 ft. Ay-350 ft, and h 40 ft. The reservoir fluid properties are B-B-1 RB/STB, p-50 lbm/ft, and μ-0.5 cP. The reservoir left boundary is kept at constant pressure of 4000 psia, and the reservoir right boundary is sealed off to flow. A 7-in vertical well was drilled at the center of gridblock 4. The well produces 600STB/D of fluid and has a skin factor of 1.5. Assuming that the reservoir rock and fluid are incompressible, find the pressure distribution in the reservoir and the FBHP of the well. Perform a material balance check.
- Water is entering a heated tube at mass ow rate of 1.2 kg/s. The temperature at the inlet is 20 C and at the outlet is 80 C. Assume the surface temperature of the tube is 100 C. The convection coe cient of the water ow is 28 W=m2 C. The speci c heat and density of water can be assumed to be 4180 J=kg C and 990 kg=m3. What is the rate of heat transfer to water during this procesWhat are the Poisson equations? How would the respective equations look like at isothermal, iso-choric, isobaric conditions?An electric current is passed through a wire 1 mm in diameter and 10 cm long. The wire is submerged in liquid water at atmospheric pressure, and the current is increased until the water boils. For this situation h=5000 W/m? - •C, and the water temperature will be 100-C. How much electric power must be supplied to the wire to maintain the wire surface at 114•C?
- Hi, can you help me with the following problem? A thermally insulated tank of water 2 m x 2 m, depth 1 m is stirred with a paddle for threehours. If the paddle is driven by a motor whose shaft power is 8 kW determine the rate ofchange of temperature in degrees C per hr and the increase in temperature of the water.The specific heat of water is 4200 J/kgC. Identify a system and start your analysis from anappropriate form of the Fist Law of ThermodynamicsQ1: Consider a wall heated by convection on one side and cooled by convection on the other side. Show that the heat-transfer rate through the wall is T1-T2 1/h A+A/kA+ 1/h2A Where T; and T; are the fluid temperatures on each side of the wall and h, and h; are the corresponding heat-transfer coefficients.43% uo 7:52 * ZAIN IQ I. sheet No.3.pdf Homework 01-03 -2021 one-dimensional heat transfer and disregarding radiation, determine the rate of heat transfer through the wall. Q4/ Steam at Te1-320°C flows in a cast iron pipe (k=80W/m.°C) whose inner and outer diameters are D =5cm, and D=5.5cm, respectively. The pipe is covered with 3 cm thick glass wool insulation with k=0.05W/m.°C. Heat is lost to the surroundings at T02=5°C_by natural convection and radiation, with a combined heat transfer coefficient to be h,=18W/m.C. Taking the heat transfer coefficient inside the pipe to be h,=60W/m.C, determine the rate of heat loss from the steam per unit length of the pipe. Also determine the temperature drops across the pipe shell and the insulation. 05/ Determine the overall heat transfer coefficient U based on the outer surface of a D=2.5cm, and D=3.34 cm steel pipe (k=54.0W/m.°C) for the following conditions: inside and outside heat transfer coefficients are 1200W/m."C. and 2000W/m."C…
- Q4/ А wall (Зт*2m) соnsist of 10 ст face brick with 15 ст сопсrete plaster. The outdoor temperature is -7°C, while the indoor space temperature is 24°C DBT and 10°C dew point temperature, Find i)heat transfer(Q) through the wall ii) Will moisture condense on this wall? and I.3 ст сетеnt790kg/m' 49 CHAPTER 1 1-109E Consider a U-tube whose arms are open to the atımosphere. Now equal volumes of water and light oil (p = lbm/ft') are poured from different arms. A person blows from the oil side of the U-tube until the contact surface of the two fluids moves to the bottom of the U-tube, and thus the liquid levels in the two arms are the same. If the fluid height in each arm is in, determine the gage pressure the person exerts on the pil by blowing. 1-101 0-75M Air 0-15M Oil Water FIGURE P1-109EQ6 a) A 10-cm dia. copper ball is to be heated from 100 °C to till average temperature of 150 °C in 30 min time. The average density is 8950 kg/ m and the specific heat is 0.395 kJ/kg°C. Find (i) Total amount of heat transfer, (ii) Average rate of Heat Transfer, (ii) Average Heat Flux b) A plane wall constructed of solid iron with thermal conductivity 70 W/m C, thickness 50 mm and with surface area 1 m by 1 m, temperature 150 °C on one side and 80°C on the other. Calculate the conductive heat transfer.