e- Water at 12 °C is to be heated to 60 °C by passing it over a bundle of 3-m-long, 2-cm-diameter resistance heater rods maintained at 95 °C. Water approaches the heater rod bundle in normal direction at a mean velocity of 1.2 m/s. The rods are arranged in-line with longitudinal and transverse pitches of SL = 4 cm and ST = 3 cm. Calculate the number of tube rows Ni in the flow direction needed to achieve the indicated temperature rise.
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- 6.1 Determine the heat transfer coefficient at the stagnation point and the average value of the heat transfer coefficient for a single 5-cm-OD, 60-cm-long tube in cross-flow. The temperature of the tube surface is , the velocity of the fluid flowing perpendicular to the tube axis is 6 m/s, and the temperature of the fluid is . Consider the following fluids: (a) air, (b) hydrogen, and (c) water.A steam reservoir is covered by a rectangular plate (its length is 1 m and width 2 m). The steam temperature is 95o C, and it is in contact with the plate. Over the outside surface of the plate, water is flowing at a speed of 3 m/sec at a temperature of 25o C. What is the mean Nusselt number over the plate? What is the mean heat transfer convective coefficient over the plate? What is the heat transfer rate to the water?Water at 15ºC is to be heated to 65ºC by passing it over a bundle of 4-m-long 1-cm-diameter resistance heater rods maintained at 90ºC. Water approaches the heater rod bundle in normal direction at a mean velocity of 0.8 m/s. The rods arc arranged in-line with longitudinal and transverse pitches of SL 4 cm and ST 3 cm. Determine the number of tube rows NL in the flow direction needed to achieve the indicated temperature rise.
- A 2-cm diameter, 10-m long tube transports water at an average flow velocity of 8 m/s. The water enters at 20°C and leaves at 30°C. To compute for the Nusselt number of the water flow, what is the exact value of the temperature in °C on which the water properties should be based?e- Water at 12 °C is to be heated to 60 °C by passing it over a bundle of 3-m-long, 2-cm-diameter resistance heater rods maintained at 95 °C. Water approaches the heater rod bundle in normal direction at a mean velocity of 1.2 m/s. The rods are arranged in-line with longitudinal and transverse pitches of SL = 4 cm and ST = 3 cm. Calculate the number of tube rows NL in the flow direction needed to achieve the indicated temperature rise.- EXAMPLE 8-1 Laminar Flow in Horizontal and Inclined Pipes Consider the fully developed flow of glycerin at 40°C through a 70-m-long, 4-cm-diameter, horizontal, circular pipe. If the flow velocity at the centerline is measured to be 6 m/s, determine the velocity profile and the pressure dif- ference across this 70-m-long section of the pipe, and the useful pumping power required to maintain this flow. For the same useful pumping power input, determine the percent increase of the flow rate if the pipe is inclined 15° downward and the percent decrease if it is inclined 15° upward. The pump is located outside this pipe section. D-2 em 6 m/s Glycerine Hello sir, I want the same solution, but in a simplified way without the words of simplifying the solution. ur) - u I- Substituting, the velocity profile is determined to be u(r) - (6 m/s)1- - 6(1-2500r) (0.02 m) where u is in m/s and r is in m. The average velocity, the flow rate, and the Reynolds number are 6 m/s V - Vs - 3 m/s V - VvA-…
- - EXAMPLE 8-1 Laminar Flow in Horizontal and Inclined Pipes Consider the fully developed flow of glycerin at 40°C through a 70-m-long, 4-cm-diameter, horizontal, circular pipe. If the flow velocity at the centerline is measured to be 6 m/s, determine the velocity profile and the pressure dif- ference across this 70-m-long section of the pipe, and the useful pumping power required to maintain this flow. For the same useful pumping power input, determine the percent increase of the flow rate if the pipe is inclined 15° downward and the percent decrease if it is inclined 15° upward. The pump is located outside this pipe section. D-2 em 6 m/s Glycerine Hello sir, I want the same solution, but in a simplified way without the words of simplifying the solution. ur) - uma 1- Substituting, the velocity profile is determined to be ur) - (6 m/s)I - - 6(1 - 2500r) (0.02 m) where u is in m/s and r is in m. The average velocity, the flow rate, and the Reynolds number are V - Vavs 4max 6 m/s - 3 m/s…Air enters a rectangular duct measuring 30 cm by 40 cm with a velocity of 8.5 m/s and a temperature of 40 degrees Celsius. The flowing air has a thermal conductivity of 0.028 W/m K, kinematic viscosity of 16.95 x 10-6 m2/s and from empirical correlations, the Nusselt number has been approximated to be 425. Find out the convective heat flow coefficient (h). a. 54.71 W/m2 K b. 34.71 W/m2 K C. 44.71 W/m2 K d. 24.71 W/m2 KObtain by dimensional analysis a functional relationship for the wall heat transfer coefficient h (W/m2-K) for a fluid flowing through a straight pipe of circular cross section. Assume that the effects of natural convection may be neglected in comparison with those of forced convection. Taking the heat transfer coefficient, h, as a function of the fluid velocity, density, viscosity specific heat and thermal conductivity, v, p, H, Cp and k, respectively, and of the inside diameter of the pipe, d. For recurring set, the variables d, u, k, and p. It found by experiment that, when the flow is turbulent, increasing the flowrate by a factor of 2 always results in a 60 percent increase in the coefficient. How would a 50 percent increase in density of the fluid be expected to affect coefficient, all other variables remaining constant?
- A gas is cooled by circulating it in a turbulent regime through the interior of a circular duct with an internal diameter D; = 0.025 mm, whose internal wall remains constant at To,i = 310 K. The average temperature of the gas is Tm = 350 K, its density Pm = 1.01 kg/m³ and its thermal conductivity Am = 0.0297 W/(m K). The Reynolds number is equal to Rep = 28717, the Prandtl number Pr = 0.718 and the pressure drop per unit length, AP/L = 300 Pa/m. 3. What is the value of the mass flux? G = kg/(m's) 4. What is the value of the convection coefficient if the duct is very long? (D/L → 0) h = W/(m² K)Topic: Heat transfer Completely solve and box the final answer. A 20degC water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40deg C. The air flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, at what length the flow become turbulent? If the average laminar heat transfer coefficient of water is 7740W/m2 degC, what is the overall heat transfer at the laminar section?A 20 °C water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40 °C The water flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, What is the local heat flux (Q/A) at the end of the plate (k=0.86 W/m deg C, Re=3840000, and Pr=0.7)?