Problem-3: Chilled water enters a thin-shelled 5-cm-diameter, 150-m-long pipe at 7°C at a rate of 0.98 kg/s and leaves at 8°C. The pipe is exposed to ambient air at 30°C with a heat transfer coefficient of 9 W/m²-K. If the pipe is to be insulated with glass wool insulation (k = 0.05 W/m.K) in order to decrease the temperature rise of water to 0.25°C, determine the required thickness of the insulation.
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- 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 55A mild-steel cylindrical billet 25 cm in diameter is to be raised to a minimum temperature of 760C by passing it through a 6-m long strip-type furnace. If the furnace gases are at 1538C and the overall heat transfer coefficient on the outside of the billet is 68W/m2K, determine the maximum speed at which a continuous billet entering at 204C can travel through the furnace.A 0.5-ampere current is flowing through a long electrically conducting cylindrical rod. The diameter of the rod is 6 mm, the electrical resistance of the rod is R = 2000 /m, and k =0.9 W/m K for the rod. The rod is encased in a 2-mm thick Pyrex tube and a 20°C liquid is flowing over the outer surface of the Pyrex tube. The convection heat transfer coefficient for the liquid h= 800 W/m2 . K. The interfacial conductance (contact resistance) at the interface between the rod and the Pyrex tube is h = 1200 W/m² - K. a) Compute the rate of heat generation in the rod and use it compute the volumetric rate of heat generation. b) Find the temperature drop across the interface between the outer surface of the rod and the inner surface of the Pyrex tube. c) Find the temperature at the center of the rod.
- A steam is flowing through a 5.7 m long of steel tube that has inner and outer radii of r, = 0.015 and r, 0,024 m, and a thermal conductivity of 0.14 W/m.K. The steam and the outer surface of the tube is maintained at constant temperature of 150 °C and the air = 25 °C, h = 0.35 W/m2.k) is surrounding the tube. To prevent the outer surface of the steel from the environmental conditions, a material that has a thermal conductivity of 0.014 W/m.k is wrapped over the outer surface of the steel. What is the maximum heat transfer from the steam to the air (W)? NOTE: Enter your answer. Answer Air Th Steam Steel Tr 111 To1. Water enters a thin-shelled 4-cm-diameter, 200-m-long pipe at 7°C at a rate of 0.98 kg/s and leaves at 8°C. The pipe is exposed to ambient air at 30°C with a heat transfer coefficient of 9 W/m²K. If the pipe is to be insulated with glass wool insulation (k= 0.05 W/mK) in order to decrease the temperature rise of water to 0.25°C, determine the required thickness of the insulation. Insulation Water L1. The operations of the industrial management plant where you work asks you to determine the length of a 2.0 cm diameter pipe that will be used to heat water from an inlet temperature of 20.0°C to an outlet temperature of 60.0 °C The operational flow of water in the pipe is to be 0.6 m/s, and the surface temperature of the wall is to be kept constant at 90.0°C by condensing steam. For the development of this task, you must obtain the properties of water at the average temperature of the fluid. To determine the forced convection heat transfer coefficient use the correlation: Nu = 0.023Re0.8p₁.0.4
- (4) Oil with an average temperature of 80°C at an average flow velocity of 0,5 m/s, is flowing by pipeline with an inner diameter of 35 mm and a length of 15 m. Determine the heat transfer coefficient of the oil to the pipe wall, assuming that the average temperature of the pipe wall is 60°C. Oil properties are known, at 80°C: p=840 kg/m³, "c,=1,926 kJ/(kg-K), n=0,233 Pa-s, 2=0,179 W/(m-K).3. Hot water at 120°C flows in a stainless-steel pipe (k, 15 W/m K) whose inner diameter is 1.6 cm and thickness is 0.2 cm. The pipe is to be covered with adequate insulation so that the temperature of the outer surface of the insulation does not exceed 40°C when the ambient temperature is 25°C. Taking the heat transfer coefficient for convection inside of the pipe and outside of insulation to be 70 and 20 W/m? •C respectively, determine the thickness (in cm) of fiberglass insulation (k, 0.038 W/m K) that needs to be installed on the pipe.An ordinary egg can be approximated as a 5.5-cm-diameter sphere whose thermal conductivity of roughly W overall density of p= 1000. mk' kg m² and heat capacity of Cp = 3000; kgk k = 0.6- : The egg is initially at a uniform temperature of T₁ = 10°C and is dropped into boiling water at T = 90°C Taking the convective heat transfer coefficient to be h = 10. - determine how long it will take for the egg to W m²K reach T = 70°C. In solving this problem, please use the One-term approximation model to compute the time needed by the center of the egg and the surface of the egg to reach the desired temperature of 70 C Please discuss the difference between the three results. In solving the problem, please follow the steps below. For the One-term approximation: 1. Compute the Biot number, use the egg radius (not the diameter) as the characteristic length T-Too 2. Compute the non-dimensional excess temperature 0 = Ti-Too 3. Look up in the table the values for A₁ and ₁ for the Biot number found…
- Example: 0.5 kg of water per minute is heated from 20° to 40°C when passed through a tube of 2.5 cm diameter steel pipe. The pipe surface temperature is maintained at 110°C by condensing steam on its surface. Find out the length of the pipe required. The properties of water at mean temperature of 70°C are given below: p = 978 kg/m² k= 0.575 W/m. K Cp = 4200 J/kg. K v = 0.415 x 10-6 m²/secAn electric motor is to be connected by a horizontal steel shaft (k - 42.56 W/m.K), 25 mm in diameter to an impeller of a pump, circulating liquid metal at a temperature of 540°C. If the temperature of electric motor is limited to a maximum value of 52°C with the ambient air at 27°C and heat transfer coefficient of 40.7 W/m?K, what length of shaft should be specified between the motor and pump ?Layers of 23 cm-thick meat slabs ( k = 0.47 W/m*C and a=0.13*10 m/s) initially at a uniform temperature of 7 C are to be frozen by refrigerated air at -30 C flowing at a velocity of 1.4 m/s. the average heat transfer coefficient between the meat and the air is 20 W/m*C. Assuming the size of meat slabs to be large relative to their thickness, determine how long it will take for the center temperature of the slabs to drop to -18 C, Also, determine the surface temperature of the meat slab at that time