Air flows through a 10 cm internal diameter tube at the rate of 75 kg/hr. Measurements indicate that the temperature of air is 325 K while the tube wall temperature is 375 K. The heat transfer rate for one meter length in the range of this point is Given data: Thermo physical properties of air at 325 K k = 0.02792 W/mk H-1.967 x 10-5 kg/ms Pr= 0.713 Nu = 3.66 for laminar Nu = 0.023 Re.8 p0.4 for turbulent,
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- Water flows in a 3.5-cm-diameter pipe so that the Reynolds number based on diameter is 2000 (laminar flow is assumed). The average bulk temperature is 10°C. What would the heat transfer coefficient be in W/m2.°C for such a system if the tube wall was subjected to a constant heat flux and the velocity and temperature profiles were completely developed? Evaluate properties at bulk temperature.Air is flowing through a 20 m long pipe of 20 cm diameter at a rate of 0.8 kg/s. The inlet air temperature is 40 deg C; the entire pipe wall is held at a constant temperature of 90 deg C. Estimate the air temperature at the outlet as well as the heat transfer rate for the entire length of the pipe. Properties are: 1.038 kg/m3; 1009 J/(kg-K); 2.042E-05 Pa-s; 0.0293 W/(m-K).Hot water (cp=4.18 kJ/kg.K, m = 2.8 kg/min) flows inside a tube (inner diameter = 9 mm, Length = 93 cm, thickness = 1.0 mm, outer surface is 204 kW/m. What is the convective heat transfer coefficient (W/m .K) on the outer surface? the average outer surface temperature of the tube is 93 C and that of surrounding air is 24 C. k tube = 40 W/m.K), if the heat flux on the tube
- Water enters a tube at 29°C with a flow rate of 460 kg/h. The rate of heat transfer from the tube wall to the fluid is given as qs′(W/m)=ax, where the coefficient a is 25 W/m2 and x(m) is the axial distance from the tube entrance. (a) Beginning with a properly defined differential control volume in the tube, derive an expression for the temperature distribution Tm(x) of the water. (b) What is the outlet temperature of the water for a heated section 31 m long? (c) Sketch the mean fluid temperature, Tm(x), and the tube wall temperature, Ts(x), as a function of distance along the tube for fully developed and developing flow conditions. (d) What value of a uniform wall heat flux, qs″ (instead of qs′=ax), would provide the same fluid outlet temperature as that determined in part 8.13b? For this type of heating, sketch the temperature distributions requested in part 8.13c.Q2/ An aluminum sphere weighting 7kg and initially at a temperature of 533K is suddenly immersed in a fluid at 283K. if heat transfer coefficient between the sphere and fluid is 50W/m?.°C. Take density=2707kg/m3, specific heat=0.9KJ/kg.°C and thermal conductivity= 204W/m °C. إجابت * Determine the Bi number 0.00696 0.000696 0.0052 0.00052 0 أخری *.Determine the time required to cool sphere to 263K 26.28min 262.8min 52.56 min 525.6 min O أخریIn a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.9 cm enters into the boiler that has the thermal conductivity as 0.37 W/mK. The boiler is maintained at 102 °C and temperature of the water that flows inside the pipe is at 34°C. If the energy transfer (Q) is 100735 kJ in 7 hours. Determine the Heat transfer rate, Surface area of the pipe and Diameter & Length of the pipe, if D = 0.015 L. Surface Area of the Pipe (m2) Pipe Length (in m) Pipe Diameter (in mm)
- In a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.9 cm enters into the boiler that has the thermal conductivity as 0.37 W/mK. The boiler is maintained at 102 °C and temperature of the water that flows inside the pipe is at 34°C. If the energy transfer (Q) is 100735 kJ in 7 hours. Determine the Heat transfer rate, Surface area of the pipe and Diameter & Length of the pipe, if D = 0.015 L .For a water flow over a steel surface, the temperature of water at a specific location was found to change with the vertical distance from the surface (y) up to a distance of 0.015 m as T(y) = 60 + 20y + tan(y), where temperature is in °C and y is in cm. The surface temperature and ambient temperature was measured as 60°C and 105°C, respectively. The thermal conductivity of steel and water are, respectively, 48 W/m-K and 0.6 W/m-K. What is the local convection coefficient at this location?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 K
- Obtain 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?Problem: Convection related Water enters a tube at 27°C with a flow rate of 450 kg/h. The rate of heat transfer from the tube wall to the fluid is given as qs′(W/m)=ax, where the coefficient a is 20 W/m^2 and x(m) is the axial distance from the tube entrance. (a) Beginning with a properly defined differential control volume in the tube, derive an expression for the temperature distribution Tm(x) of the water. (b) What is the outlet temperature of the water for a heated section 30 m long? (c) Sketch the mean fluid temperature, Tm(x), and the tube wall temperature, Ts(x), as a function of distance along the tube for fully developed and developing flow conditions.Q2: Determine the convection heat transfer coefficient for the flow of (a) air and (b) water at a velocity of 5 m/s in an 8-cm-diameter and Water 10-m-long tube when the tube is subjected to uniform heat flux from all surfaces. Use fluid properties at 25°C. or Air 5 m/s D=8 cm L= 10