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A B C D E F G H I J K L M N O P
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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Procedures for the Thermal Sizing Problem

DOI 10.1615/hedhme.a.000306



3.9.11 Procedures for the thermal sizing problem

The sizing problem was introduced in Section 303. Assume that the factors discussed in that section have led to the selection of surface geometries for each fluid stream. Then, it is necessary to size the heat exchanger for the required thermal duty and fluid temperature, and pressure conditions. The remaining unspecified variables are the velocities for each flow stream. The heat exchanger will require minimum surface area if the velocity is chosen to use all the allowed pressure drop. Two approaches are possible.

The simplest method is to compute designs for a series of velocities that yield pressure losses above and below the allowable value. Each design meets the required thermal effectiveness (ε). Then, a graph of the calculated pressure drops versus the frontal velocity permits selection of the design velocity that meets the specified pressure drops. This approach is ideally suited for a digital computer design program. In essence, the design for each velocity is a rating problem calculation. Because the required thermal duty is known, the average fluid temperature of each stream is known, and the properties are evaluated at these average temperatures. The calculation procedure for a counterflow or parallel-flow heat exchanger is as follows.

  1. From the required ε and given Cmin /Cmax, calculate the required NTU.

  2. Calculate the required UA = NTUCmin.

  3. Follow steps 1, 2, and 4–9 of the rating problem (Section 304).

  4. Using the equation given in step 10 of the rating problem, calculate the required heat exchanger volume.

  5. Calculate heat exchanger length as L = V /Afr.

  6. The frontal area (Afr) is directly calculable, since the frontal velocity was initially specified for each stream.

  7. Calculate the pressure drop following Section 305. This procedure is not applicable to a cross-flow design.

For a cross-flow design, independent specification of each velocity fixes the flow depth for each fluid stream. Adaptation of this procedure to cross flow requires setting the velocity for stream 1, and applying the procedure to a range of velocities for stream 2. Then repeat this procedure with a new velocity for stream 1. This will likely require multiple sizing calculations. However, they may be done quickly using a computer.

The second procedure uses the coupled heat transfer and pressure drop equations for each channel. The heat transfer coefficient may be written as

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