-5- For flow over a flat plate, the temperature distribution inside the boundary layer is given by: T,-T sin T,-T 0.015 Ifk 0.03 W/m.K, determine the value of convective heat transfer coefficient.Answer: (h-6.28 W/m K):
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- 1.21 In an experimental set up in a laboratory, a long cylinder with a 5-cm diameter, and an electrical resistance heater inside its entire length is cooled with water flowing crosswise over the cylinder at and a velocity of 0.8 m/s. For these flow conditions, 20 kW/m of power is required to maintain a uniform temperature of at the surface of the cylinder. When water is not available, air at is used with a velocity of 10 m/s to maintain the same surface temperature. However, in this case, the cylinder surface heat dissipation rate is reduced to 400 W/m. Calculate the convection heat transfer coefficients for both water and air, and comment on the reason for the differences in the values.. Castor oil at 36 °C flows over a 6 m long and 1 m wide heated plate at 0.06 m/s. For a surfacetemperature of 96 °C, determine (i) the thermal boundary layer thickness at the end of the plate,(ii) the local heat transfer coefficient at the end of the plate, and (iii) the rate of heat transfer fromthe entire plateDefine and explain the physical significance of the following:(a)prandtl number(b) Reynolds number (c)Nusselt number In which mode of heat transfer is the convection heat transfer coefficient usually higher, natural convection or force convection?why?
- Air is flowing in parallel over the upper surface of aflat plate with a length of 4 m. The first half of the plate length,from the leading edge, has a constant surface temperatureof 50°C. The second half of the plate length is subjected toa uniform heat flux of 86 W/m2. The air has a free streamvelocity and temperature of 2 m/s and 10°C, respectively.Determine the local convection heat transfer coefficients at1 m and 3 m from the leading edge. Evaluate the air propertiesat a film temperature of 30°C. Is the film temperatureTf = 30°C applicable at x = 3 m?What regime favors heat transfer and why?Laminar, Turbulent or TransitionalQ3: Air flows across a 20-cm-square plate with a velocity of $ m/s. Free-stream conditions are 10-C and 0.2 atm. A heater in the plate surface furnishes a constant heat-flux condition at the wall so that the average wall temperature is 100-C. Calculate the surface heat flux and the value of h at an x position of 10 cm. Answers: Q= 1414 W, b= 13.3 Wm?.C
- For air flow at a constant wall temperature of 100 ◦C and average bulk temperature of 40 ◦C through a 4-cm-ID pipe, determine the value of average convection coefficient for an inlet velocity of 0.8 m/s if the pipe length is (i) 1 m, (ii) 3 m, (iii) 10 m.Hot engine oil at 150°C is flowing in parallel over a flat plate at a velocity of 2 m/s. Surface temperature of the 0.5-mlong flat plate is constant at 50°C. Determine (a) the local convection heat transfer coefficient at 0.2 m from the leading edge and the average convection heat transfer coefficient, and (b) repeat part (a) using the Churchill and Ozoe (1973) relation.Liquid mercury at 250°C is flowing with a velocity of 0.3 m/s in parallel over a 0.1-m-long flat plate where there is an unheated starting length of 5 cm. The heated section of the flat plate is maintained at a constant temperature of 50°C. Determine (a) the local convection heat transfer coefficient at the trailing edge, (b) the average convection heat transfer coefficient for the heated section, and (c) the rate of heat transfer per unit width for the heated section.
- Air at 24°C is blown over a hot pipe with a surface area of 2.94 m2 to dissipate 924 W of heat energy. What is the minimum convection heat transfer coefficient that will ensure that the temperature of the pipe surface is less than 45°C [round your final answer to two decimal places]?Reconsider Prob. 9-20. Using the EES (or other) software, evaluate the effect of the plate thickness on the surface temperature exposed to the cold air. By varying the plate thickness from 0.01 to 0.1 m, plot the plate surface temperature on the cold air side as a function of the plate thickness. Prob A 0.2-m-long and 25-mm-thick vertical plate (k = 1.5 W/m∙K) separates the hot water from the cold air at 2°C. The plate surface exposed to the hot water has a temperature of 100°C, and the surface exposed to the cold air has an emissivity of 0.73. Determine the temperature of the plate surface exposed to the cold air (Ts,c).Define Nusselt (Nu), Prandtl (Pr), Reynolds (Re) and Grashof (Gr) dimensionless numbers. State which numbers are used in free and forced convection to determine the heat transfer coefficient.