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                                                                    Heat Transfer                                          217

                                                                                             2
                                   2
                       p c      4f s ’’ n c  G max >12g’ 2 11442  (10-223)       9.561102  12 1f s 2G s D s ¿1N c 	 12
                                                                             p s                       , psi           (10-228)
                                                                                           D e ¿s
                         For triangular pitch: 57, 58, 82                    This equation gives values that are half of those calculated
                                                                           as total gas flow for the shell side by using friction factors
                      r t  from 1.5 to 4.0
                                                                           from Figure 10-140. (Note that f s for plain or bare tubes
                                   0.1175   D o G max   1.16                 f/1.2 (with f from Figure 10-140)).
                      f s –   c0.25 	    da      b               (10-224)
                                 1r t   12  1.08  
 f ¿                      The method of Buthod  22  has given unusually good
                                                                           checks with data from industrial units. In general this
                         For square or in-line pitch: 57, 58, 82           method appears to give results that are slightly higher than
                                                                           field data but not as high as the other methods presented
                      r t  from 1.5 to 4.0                                 previously. For shell-side pressure drop:
                                                   0.15
                                   0.08r 1  D o G max
                      f s –   a0.044 	   ba      b               (10-225)    p s  1total2      p long.   	   p c       (10-229)
                                  1r t   12  a  
 f ¿
                               1.13
                      a   0.43 	                                 (10-226)    1. Calculate loss due to longitudinal flow through tube
                                                                               bundle; use Figure 10-141.
                                r 1
                                                                                              0.04W s           2
                     where c b   constant                                   G1longitudinal2             , lbs>sec 1ft 2  (10-230)

                                                                                              2
                           f f   dimensionless friction factor for shellside cross-flow      1D s   Nd o 2B ca
                                               2
                          G c   mass flow, lb/(hr) (ft of cross section at minimum         4
                               free area in cross-flow)
                                              2
                         G max   mass flow, lb/sec (ft of cross section at minimum  where W s   shell-side flow, lb/hr
                               free area in cross-flow)                         D s   shell I.D., in.
                              fluid density, lb/ft 3                            d o   tube O.D., in.
                          g    acceleration constant 32.2 ft/(sec) 2             N   number of tubes in bundle
                        
/
 w   viscosity ratio of fluid at bulk temperature to that at  B ca   baffle cut area, expressed as fraction, representing
                               wall temperature                                      opening as percent of shell cross-section area.
                          
 f     absolute viscosity, lb/sec (ft), 
 t     (centipoises)
                               (0.000672)
                          n c   minimum number of tube rows fluid crosses in
                               flowing from one baffle window to one adjacent.
                          N c   number of baffles
                          p c   bundle cross-flow pressure drop, psi

                         Tube pitch, in.   transverse to fluid flow, dimensionless
                      r t
                          Tube O.D., in.
                         Tube pitch, in.   longitudinal value in direction of fluid
                      r l
                         Tube O.D., in.    flow, dimensionless

                                  82
                         McAdams points out that at r t of 1.25, the pressure
                         drop may deviate high as much as 50% and is high for
                         r t   1.5 and   4.
                         Streamline flow shell-side cross-flow; modified Dono-
                         hue: 38
                                    1n c 2G c 
¿
                                   5
                       p c   3.021102      , psi                 (10-227)
                                    s1p   d o 2
                           s   specific gravity of fluid referenced to water
                           p   tube pitch, in.
                          d o   tube O.D., in.
                          
    viscosity, centipoise, at average temperature

                     Shell Side Pressure Drop in Condensers                Figure 10-141. Pressure drop in exchanger shell due to longitudinal
                                                                           flow. (Used by permission: Buthod, A. P. Oil & Gas Journal, V. 58, No.
                           70
                       Kern recommends Equation 10-228 as being conservative:  3, ©1960. PennWell Publishing Company. All rights reserved.)
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