Document 0gjxnRyJRNaRNgJjy9wMDg9gk

,786 CHAPTER 3S 1952 Guide i where ft = internal film coefficient of heat transfer, Btu per (hour) (square foot of internal tube surface) (Fahrenheit degree). --... . (, = average refrigerant temperature, Fahrenheit degrees. To evaluate ft by this method the same tests that were required to determine/, may be used. . When water is the cooling medium in tubes, the rate of heat transfer is a function of its velocity, which influences the number of contacts of the water molecules with the tube surface, per unit of time. Increased water velocity and reduced tube diameter cause increased heat transfer. Heat .transfer is also greater at higher temperatures of the water. The basic formula for the film coefficient of heat transfer for flow of water in smooth tubes is as follows: yo* /i,= l.S(i +100) -- (10) where V = water velocity, feet per second. . D = internal diameter of tube, inches. t = average water temperature, Fahrenheit degrees. Equation 10 should not be used when Reynolds Number is less than 2000. Since, in the case of finned tubes using water as a refrigerant, test values of fi based on the calculated surface temperature for the entire coil may be lower than those obtained by use of Equation 10, actual test results are preferred if available. When saturated steam is condensed in the tubes of coils, the film coef ficient fi varies from 1000 to 2000, depending on freedom from air in the steam, and upon good drainage of the tubes. The coefficient is fairly con stant for a particular coil, giving values of (f, -- (,) that are directly propor tional to qt. However, if water coil test results are analyzed on a row-byrow basis good agreement with Equation 10 will result.4 The use of turbulence promoters increases the value of ft for liquids in tubes at the expense of pressure drop. The increase obtained depends upon the type of turbulence promoter and the rate of flow. No general state ment can be made regarding their use, and it is best to refer to detailed papers on this subject for further information.4'6 Determining Size of Cooling Coil To illustrate the use of individual film coefficients in coil calculations, the procedure for selecting the proper size cooling coil and for determining exit air condition, coil surface temperature, total coil load and refrigerant temperature, is outlined in Example 1. Example 1: An industrial application requires the cooling of a certain quantity of air from a condition of 102 F dry-bulb and 85 F wet-bulb to a final condition of 80.5 F dry-bulb and 73 F wet-bulb. The air velocity across the coil is to be 400 fpm and coil data are as follows: /0 = 10.7 at 400 fpm, /, -- 325, external surface area = 15 sq ft per (square foot of face) (row of coil depth), ratio of external surface area to in ternal surface area = 15. Solution: (1) Lay out the problem psychrometry as indicated in Fig. 13 and note that the minimum horizontal distance between the load ratio line and the saturation curve is 1.8 F dry-bulb at point A Fig. 13. This means that (t -- (dpi in Equation 7 Air Heating and Cooling Coils 787. must not be less than 1.8. Therefore,-Equation 7 should be solved for N to deter mine the proper number of rows to be used for the coil. foAN , (, - (apt , 102-80 , o^ = log'(T^ = ,og-iy-=,og'12-22 = 2-5 ' Then substituting values for A, and"G, N may be found as follows: 10.7 X 15N = 2.5 from which, N = 6.58 0.243 X 1740 (2) This establishes the maximum whole number of coil rows that can be used as 6, and it is now possible to determine the actual location.of the exit air conditions from Equation 7 by solving for the actual value of (, -- (dpi for a 6 row coil. 10.7 X 15 X 6 0.243 X 1740 102-80 log, tt (dpi 2.275 This establishes values of 9.78 for 7-----^ = B and 2.25 for (1 -- (dpi- (i -- (dpi (3) Next, the exit air condition at 57.3 F dry-bulb and 56 F wet-bulb as.shown at B,' is found by locating a point on the load ratio line at a horizontal distance of 2.25 dry-bulb degrees from the saturation curve. (4) The surface'temperature may now be found from Equation 7 which may also be written as ........ Bt1- (, B-1 where B U -- tdfA M -- tdpS