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Packaged units, specification of, Packing characteristic, in cooling towers, Packings, for cooling towers Packings, for fixed beds: Packinox heat exchanger, Paints, spectral characteristics of reflectance of surfaces treated with, Palen, J W Panchal, C B, Paraffins, normal and isonormal: Paraldehyde: Parallel channel instability, in condensers, Partial boiling in subcooled forced convective heat transfer, Participating media, radiation interaction in, Particle convective component, in heat transfer from fluidized beds, Particle emissivity, Particle Reynolds number in fixed beds, Particles: Particulate fluidization, Particulate fouling, Pass arrangements, in plate heat exchangers, Passes, tube side, Passive methods, for augmentation of heat transfer, passive systems for: PD5500 mechanical design of shell-and-tube heat exchangers to, Peacock, D K, Pearson number, Peclet number Peng-Robinson equation of state, application to hydrocarbons, Penner's rule, in absorption of radiation by gases, Pentachloroethane (Refrigerant 120): Pentadecane: Pentadecene: Pentadiene 1, 2: Pentadiene 1, trans 3: Pentadiene 1, 4: Pentadiene 2-3: Pentafluoroethane (Refrigerant 125) Pentamethylbenzene: Pentane: Pentanoic acid: 1-Pentanol: 1-Pentene: cis-2-Pentene: trans-2-Pentene: Pentylacetate: Pentylbenzene: Pentylcyclohexane: Pentylcyclopentane: Pentylcyclopropane, liquid properties, Perforated fins, in plate fin heat exchangers, Perforated plates, loss coefficients in, Periodic operation, of regenerator, Periodic variations in temperature, thermal conduction in bodies with, PFR correlation, for heat transfer in high fin tube banks, Pharmaceutical industry, fouling of heat exchangers in, Phase change materials, in augmentation of heat transfer, Phase change number, Phase equilibrium: Phase inversion Phase separation, as source of corrosion problems, Phenol: Phenols: Phenylhydrazine: Phonons, in thermal conductivity of solids, Phosgene: Physical properties: Pi theorum, in dimensional analysis, Pinch analysis, for heat exchanger network design, Pioro, I L Pioro, LS, Pipe leads, Piperidine: Pipes, circular: Pipes, noncircular: Piping components: Pitting corrosion, in stainless steels, Planck's constant, Planck's law, for spectral distribution of blackbody radiation, Plane shells, steady-state thermal conduction in, Plastic deformation Plate fin heat exchangers Plate fins, efficiency, Plate heat exchangers: Plate evaporator Plates: Plug flow: Plug flow model, for furnaces, Pneumatic conveyance, Pneumatic conveying dryer, P-NTU method: Polarization, of thermal radiation, Polyglycols, as heat transfer media, Polymers: Pool boiling, Porous surfaces: Port arrangements, in plate heat exchangers, Portable fouling unit, Poskas, P, Postdryout heat transfer: Powders: Power law fluid (non-Newtonian), Power plant: Prandtl number Precipitation (crystallization) fouling, Precipitation hardening, of stainless steels, Pressure coefficient: Pressure control of condensers, Pressure drop: Pressure gradient: Pressure, specification of in mechanical design to EN13445, Pressure testing, Pressure vessels, principle codes for, Pressurised water reactor, fouling in, Printed circuit heat exchanger, Problem table algorithm, in pinch analysis, Process heaters: Progressive plastic deformation Prolate spheroids, free convective heat transfer from, Promoters, in dropwise condensation, Propadiene: Propane: 1-Propanol: 2-Propanol: Propeller agitator, Property ratio method, for temperature dependent physical property Propionaldehyde: Propionic acid: Propionic anhydride: Proprionitrile: Propyl acetate: Propylamine: Propylbenzene: Propylcyclohexane: Propylcyclopentane: Propylene: 1,3-Propylene glycol: Propylene oxide: Propyl formate: Propyl propionate: Pseudo-boiling in supercritical fluids, Pseudo-film boiling in supercritical fluids, Pseudocritical pressure, Pseudocritical tempertaure, Pugh, S F Pulp and paper industry, fouling of heat exchangers in, Pulsations, use in augmentation of heat transfer, Pulverized fuel water-tube boiler, Pumping, lost work in, Pushkina and Sorokin correlation, for flooding in vertical tubes, Pyramid, free convective heat transfer from, Pyridine:
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Pressure Drop Calculation

DOI 10.1615/hedhme.a.000305



3.9.10 Pressure drop calculation

After calculating the exit temperatures in the rating calculation, or having determined the flow length in the sizing calculation, the pressure losses may be calculated. The pressure loss for each stream through the heat exchanger finned passages is calculated by

\[\label{eq1} \Delta p=\frac{G^{2}_{c}}{2}\left[\frac{(K_{c}+1-\sigma^{2})}{\rho_{1}}+2\left(\frac{1}{\rho_{2}}-\frac{1}{\rho_{1}}\right)+\frac{f}{\rho_{m}}\frac{A}{A_{c}}-\frac{(1-\sigma^{2}-K_{e})}{\rho_{2}}\right] \tag{1}\]

where subscripts 1 and 2 denote the entering and leaving fluid density.

The terms of Equation 1 are entrance loss, flow acceleration loss, core friction, and exit loss, respectively. The Kc and Ke values depend on the cross-sectional flow geometry, σ and Re. Figure 1 gives Kc and Ke for a 1:1 ratio channel (Kays and London, 1984). Kays and London (1984) give similar curves for two other channel geometries (parallel-plate channel and triangular channel). The entrance and exit losses are normally < 10% of the total core loss, so the data of Figure 1 will cover most situations with adequate accuracy. The differences due to other channel configurations should cause only a second-order effect for most situations. Figure 1 is based on a uniform velocity entering the heat exchanger and fully developed flow in the core, and at the exit. This assumption is not valid for interrupted fin surfaces. In this case, Kays and London (1984) recommend the use of the Re = curves to evaluate Kc and Ke. In this case, all channel configurations have the same Kc and Ke values for Re = . The calculation steps for the core pressure loss requires the information developed through step 6 of the rating calculation procedure. After calculation of the Kc and Ke values and the densities entering and leaving the core (ρ1, ρ2), the core Δp may be calculated using Equation 1.

Figure 1 Entrance and exit loss coefficients for multiple square channels with abrupt contraction entrance and abrupt expansion exit. Reynolds number is marked as NR = Re, from Kays and London (1984)

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