1. Saturated steam at 500 K flows in a 0.20 m inside diameter, 0.21 m outside diameter pipe. The pipe is covered with 0.08 m of insulation with a thermal conductivity of 0.10 W/m-K. The pipe's conductivity is 52 W/m-K. The ambient temperature is 300 K. The unit convective coefficients are h₁ = 18,000 W/m²-K and ho = 12 W/m²-K. Determine the heat loss (kJ/min) from 4 m of pipe. • show conversions, units, and box in your final answers
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- 7.43 Liquid sodium is to be heated from 500 K to 600 K by passing it at a flow rate of 5.0 kg/s through a 5-cmID tube whose surface is maintained at 620 K. What length of tube is required?Determine the rate of heat transfer per meter length to a light oil flowing through a 2.5-cm-ID, 60-cm-long copper tube at a velocity of 0.03 m/s. The oil enters the tube at 16C, and the tube is heated by steam condensing on its outer surface at atmospheric pressure with a heat transfer coefficient of 11.3 kW/m K. The properties of the oil at various temperatures are listed in the following table: Temperature, T(C) 15 30 40 65 100 (kg/m3) 912 912 896 880 864 c(kJ/kgK) 1.80 1.84 1.925 2.0 2.135 k(W/mK) 0.133 0.133 0.131 0.129 0.128 (kg/ms) 0.089 0.0414 0.023 0.00786 0.0033 Pr 1204 573 338 122 551. Saturated steam at 500 K flows in a 0.20 m inside diameter, 0.21 m outside diameter pipe. The pipe is covered with 0.075 m of insulation with a thermal conductivity of 0.10 W/m-K. The pipe's conductivity is 52 W/m-K. The ambient temperature is 300 K. The unit convective coefficients are hi = 18,000 W/m²-K and ho 12 W/m²-K. Determine the heat loss (kJ/min) from 5 m of pipe.
- 2. For a saturated dry steam at 1,500 KPa that passes through a 100 mm (OD) steel pipe with a thickness of 5 mm and a length of 100 meters. The steam line is insulated with a 50 mm thickness and a thermal conductivity of 0.25 W/m.C. For a mass flow rate of 600 kg of steam per hour. The surface film conductance of steam is h = 5,500 W/m?.C, surface film conductance of air is h = 12 W/m?.C , thermal conductivity of pipe material is k = 153 W/m.C and the ambient air temperature is -10°C . Determine the following: a) The quality of steam after passing through the pipe b) Explain the concepts/principles that were considered and the factors that affected the condition of the above mentioned items (a & b) @ 1,500 KPa (tsat = 198.32°C) kJ 2,792.20- kg k] 844.89 kg kJ 1,947.30- kg 1 hg 2 hf hfgWater going into a pipe with a tempeture of T1 and going out T2 . ambient tempeture is T0. Develop an expression for T2 ( based on heat transfer) Length of the pipe Lh0 - convective heat transfer coefficient of the airhW -convective heat transfer coefficient of the waterk- pipe thermal conductivity (W/m·K)d – pipe diameter Use any other varilable that you need and can be found online easily .Write legibly, provide manual step by step solution, and diagram for below given problem. Saturated steam at 500oK flows in a 0.20 m inside diameter, 0.21 m outside diameter pipe. The pipe is covered with 0.08 m of insulation with a thermal conductivity of 0.10 W/m-K. The pipe’s conductivity is 52 W/m-K. The ambient temperature is 300oK. The unit convective coefficients are h1 = 18,000 W/m2-K and ho = 12 W/m2-K. Determine the heat loss from 4 m of pipe. a. 778.21 watts b. 825.80 watts c. 830. 80 watts d. 835.80 watts
- Heat Transfer with a Liquid Metal. The liquid metal bismuth at a flow rate of 2.00 kg/s enters a tube having an inside diameter of 35 mm at 425°C and is heated to 430°C in the tube. The tube wall is maintained at a temperature of 25°C above the liquid bulk temperature. Calculate the tube length required. The physical properties are as follows (H1): k = 15.6 W/m K, c,=149 J/kg K, u = 1.34 x 10-3 Pa s.You are designing a 3m x 3m floor with radiant heating. The floor has 12 parallel pex pipes (k = 40 W/mK) of L = 3m, OD = 25mm and ID = 20mm. Hot water (TInfintiy 1 = 90oC, h = 200 W/m2K) runs through the pipes continuously. The surface below the pipes is perfectly insulated. Above the pipes, there is a 3mm layer of bonding material (? = 12 W/mK) and a 9mm layer of tile (k = 2 W/mK). Above the tile, there is air (TInfinity 2 = 25oC, h = 20 W/m2K). Properties of Air: k = 0.025 W/mK, Pr = 0.72, v = 1.847 x 10−5, u = 16.84 x 10−6, p = 1.2 kg/m3, B = 1/Tf (ideal gas), Hint: Assume that the “layer” of pipe starts at the center point (e.g. for conduction purposes, the pipe is OD divided by 2 thick). For convection, consider the entire pipe surface. a) What is the total heat rate entering the room above the floor? b) What is the temperature of the top of the tile?Hot fluid "C= 2562 J/kg.k , Pr=51.3, µ = 5.22E-3 Pa.s, k= 0.260 W/m.K" flows at 1.3 kg/min inside a 3-mm diameter, thin- walled tube. The tube is coiled and submerged in a water bath maintained at 23°C. The fluid experiences a temperature drop of 60°C and leaves the tube at 35°C. What is the required length of the tube "m"? Neglect heat transfer enhancement associated with the coiling. Assume fully developed flow, if turbulent flow use Dittus-Boelter equation: Nu = 0.023 Re 0.8 Pr. Select one: A. 25.62 В. 35.27 C. 27.95 D. 30.61 E. 33.27
- 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; ?2. A steam line is covered with two successive layers of insulation. The 1.6 in thick layer in contact with the pipe is asbestos which is covered with a 1.4 inch thickness of magnesia insulation. The internal pipe diameter is 3 in, the pipewall thickness is 0.40 in made from common brick. The steam temperature is 850ºF, and the internal surface film coefficient is 50 Btu/hr.ft².F, while the ambient outer temperature is 105°F and the outer surface film coefficient is 3.0 Btu/hr.ft².F. Calculate the following: a. value of U based upon the external area of the magnesia covering, Btu/hr.ft2.F b. heat loss from the steam for a length of 190 feet of pipe, Btu/hrA chip that is of length L = 5.5 mm on a side and thickness t = 2.0 mm is encased in a ceramic substrate, and its exposed surface is convectively cooled by a dielectric liquid for which h = 150 W/m² K and To = 20°C. . Th Chip, q, T₁, P, Cp The time is Substrate In the off-mode the chip is in thermal equilibrium with the coolant (T; = T). When the chip is energized, however, its temperature increases until a new steady state is established. For purposes of analysis, the energized chip is characterized by uniform volumetric heating with a = 9 x 106 W/m³. Assuming an infinite contact resistance between the chip and substrate and negligible conduction resistance within the chip, determine the steady-state chip temperature Tƒ. Following activation of the chip, how long does it take to come within 1°C of this temperature? The chip density and specific heat are p = 2000 kg/m³ and c = 700 J/kg-K, respectively. The steady-state chip temperature Tf is i S. °C.