3.120 What is the convection mass transfer coefficient asso- ciated with fully developed atmospheric airflow at 27°C and 0.04 kg/s through a 50-mm-diameter tube whose surface has been coated with a thin layer of naphthalene? Determine the velocity and concentra- tion entry lengths.
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- 6.64 Consider application of the naphthalene sublimation technique (Problem 6.63) to a gas turbine blade that is coated with naphthalene and has a surface area of A, = 0.05 m². Airflow V,T_ - Turbine blade with naphthalene coating A., T., P. (T₂) To determine the average convection heat transfer coef- ficient for a representative operating condition, an experiment is performed in which the coated blade is exposed for 30 min to atmospheric air at the desired velocity and a temperature of T = 27°C. During the experiment the surface temperature is T. = 27°C, and at its conclusion the mass of the blade is reduced by Am = 8 g. What is the average convection heat transfer coefficient associated with the operating condition?O. Air with free stream temperature of 10 C is flowing over a flat plate (1.5m long and Im wide). The air is flowing along 1.5m side of the plate. The plate is maintained at 90'C. Find the velocity of air required to have a rate of heat dissipation as 3.75 kW. Use the correlations: Nu =0.664Reos Pro33 for laminar flow Nu, = (0.037RE-871)Pr3 for turbulent flow Take the properties p = 1.0877 kg/m u=2.029×10 m/s, k=0.028 W/mK, C,-1.007KJ/kg.K and Pr-0.703Air at 25°C flows at 50 × 10-6 kg/s within 100-mm-long channels used to cool a high thermal conductivity metal mold. Assume the flow is hydrodynamically and thermally fully developed. Air, Tmi = 25°C Mold, T=50°C- Case A Case B (a) Determine the rate of heat transferred, in W, to the air for a circular channel (D = (case A). 10 mm) when the mold temperature is 50°C (b) Consider air flowing under the same conditions as in case A, except now the channel is segmented into six smaller triangular sections. The flow area of case A is equal to the total flow area of case B. Determine the rate of heat transferred, in W, to the air for the segmented channel. (c) Determine the pressure drops for cases A and B, both in Pa.
- Choose the right answer 1. The mean Nusselt number for fully developed laminar flow in a circular tube under a constant heat flux a. depends on Reynolds number b. depends on Prandtl number c. is constant 2. The value of Prandtl number for air is about а. 0.1 b. О.3 с. 0.7 3. In natural convection heat transfer, the Nusselt number is a function of a. Re and Pr b. Re and Gr c. Grand Pr 4. A fluid is flowing along a plate having a high uniform wall temperature. The heat transfer along the length a. decreases b. remain constant c. increases 5. For fully developed laminar flow and heat transfer in a heated long circular tube, if the flow velocity is doubled and the tube diameter is halved, the heat transfer coefficient will be a. four times of the original value before b. half of the original value C. same as d. double of the original valueEstimate the mass-transfer coefficient for moist air flowing normal to a 25 mm diameter tube (Nu = 0.615 Re0.47). The air velocity is 0.5 m/s. Assume standard air.k) Air at a pressure of 1 atm and a temperature of 50°C is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 100°C. The plate has a length of 0.20 m (in the flow direction) and a width of 0.10 m. The Reynolds number based on the plate length is 60,000. What is the rate of heat transfer from the plate to the air? If the free stream velocity of the air is triple and the pressure is increased to 10 atm, what is the rate of heat transfer, St ,8, C fx-0.17 Now if the case with constant heat flux (580 w/m²) find surface temperature, Nu,,Nu, with second value of velocity.
- 1. Experimental analysis was carried out about turbulent convective heat transfer in trapezoidal cross-sectioned duct.Average Nusselt numbers and Reynolds numbers were determined for each experiment and the following data set have beenobtained from this investigation. Find an engineering correlation between the average Nusselt number and Reynolds numberin the form ofNu = aReb10A.5. Free convection velocity. (a) Verify the expression for the average velocity in the upward-moving stream in Eq. 10.9-16. (b) Evaluate 3 for the conditions given below. (c) What is the average velocity in the upward-moving stream in the system described in Fig. 10.9-1 for air flowing under these conditions? Pressure Temperature of the heated wall Temperature of the cooled wall Spacing between the walls Answer: 2.3 cm/s T3=0°F. Wall 1 atm 100°C 20°C 0.6 cm -T₂ = 61°F Surface temperatures -T₁ = 69°F of plastic panel Plastic panel has thermal conductivity k = 0.075 Btu/hr. ft. °F (average value between T₁ and T₂) -0.502" Fig. 10A.6. Determination of the thermal resistance of a wall. Problems 321An oil preheater consists of a single tube of 10 mm diameter and 5 m length, with its surface maintained at by swirling combustion gases. The engine oil (new) enters at 175˚C. What flow rate must be supplied to maintain an oil outlet temperature of 100˚C? What is the corresponding heat transfer rate?
- Air at 1 atmosphere at T : 250 K and a free flow velocity of 30 m/s flows across a cylinder 2.5 cm in diameter. The cylindrical surface is kept at a uniform temperature of 350 K.Calculate: a. Heat transfer coefficient. b. The rate of heat transfer per 1 m of cylinder length.An oil preheater consists of a single tube of 10-mm diameter and 5-m length, with its surface maintained at 180°C by swirling combustion gases. The engine oil (new) enters at 70°C. What flow rate, in kg/h, must be supplied to maintain an oil outlet temperatur of 105°C? What is the corresponding heat transfer rate, in W? m = kg/h WA thin liquid film of ammonia (NH3), which has formed on the inner surface of a tube of diame D= 10 mm and length L = 1 m, is removed by passing dry air through the tube at a flow rate m = 3 x 104 kg/s. The tube and the air are at 25°C. a) Calculate the velocity, the Reynolds number Rep and Sherwood's number Sc. b) What is the average mass transfer coefficient hm? (Hint: Use Table 14-13)