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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:
Q R S T U V W X Y Z

Specification of Rating and Sizing Problems

DOI 10.1615/hedhme.a.000303



3.9.8 Specification of rating and sizing problems

There are two basic types of thermal design problems, namely, rating and sizing. In a rating problem, the geometry and size of the heat exchanger are fully specified. Entering flow rates and fluid temperatures are known. The job is to calculate the thermal effectiveness (heat transferred) and pressure drop of each stream. This is a quite straightforward problem, with one exception. Because the exit stream temperatures are not known, the average temperatures at which the fluid properties are evaluated are not known.

In a sizing problem, the heat exchange requirement is specified and the designer must calculate the heat exchanger size. Normally, pressure drop limits are given for each fluid stream. Since the entering flow rates, temperatures, and pressures are given, and the heat duty (or leaving temperatures) is specified, the thermal effectiveness ε and NTU (number of transfer units) are directly calculable. A true sizing problem is considerably more complex than the rating problem. A number of decisions must be made prior to making the thermal performance calculations. These include the selection of the following.

  1. Heat exchanger flow arrangement, e.g., counterflow, cross flow, etc.

  2. Heat exchanger materials, as influenced by fluid temperatures and corrosion potential.

  3. Fin geometry and fin thickness, as influenced by design pressure requirements.

  4. The type of surface geometry and fin spacing and height. Fouling considerations influence the type of surface geometry and fin spacing that may be selected. Fin height is influenced by the desired fin efficiency.

  5. Heat exchanger frontal area. This key decision establishes the Reynolds number for each flow stream. The pressure drops are directly dependent on this decision. Use of high-performance surfaces (high j-value) will tend to require a larger frontal area and less core depth (and less core volume) for a specified pressure drop. If a small frontal area is preferred, surfaces having a high value of j /f will support this need. However, such a selection will likely require greater core volume, and heat exchanger material.

For a sizing calculation, the calculation result cannot be completed by a single, step-by-step rational decision path. The main complicating factor is the choice of available surface geometries and how this affects the limiting pressure drops. Since several candidates are likely, a number of heat exchanger designs that meet the specified thermal and pressure drop performance are possible. Identification of the optimum design requires considerably more effort. First, the designer must establish what variables are to be optimized, e.g., first cost, operating cost, or size. Design optimization is discussed by Shah and Sekulic (2003) and Palen et al. (1974).

Aside from the optimization question, the first crucial element of a design problem is selection of the surface geometries for which the heat exchanger size will be calculated. The second crucial element is selection of the flow frontal areas (or velocities) on which the pressure drops depend. Methods for selecting the fluid velocities are discussed in Section 306. Once the surface geometry and flow velocities have been specified, the thermal design calculation is relatively straightforward. The calculation steps are basically the same as for a rating problem.

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