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Hagen-Poiseuille law Hagen-Rubens relation, between electrical and optical constants, Hall Taylor, N S, Halogenated hydrocarbons: Handley and Heggs equation for fixed bed pressure drop, Hankinson and Thomson method, for liquid density: Hardening (precipative) of stainless steels, Hardwick, R, Harris, D, Hausen equation for developing laminar flow, Hays, G F Headers in shell-and-tube heat exchangers, Heads, in heat exchangers: Heat and mass transfer: Heat exchanger design, introduction, Heat exchangers: Heat of vaporisation (see Enthalpy of vaporisation), of pure substances Heat pipes: Heat pumping, relation to heat exchanger network design, Heat storage (see Regenerators and thermal energy storage) entropy generation in, Heat transfer: Heat transfer coefficient: Heat transfer media, Heat transfer salt, Heat transfer regimes: Heat of vaporization, Heated cavity reflectometer, Heating media, for reboilers, Heavy water, physical properties of, Heggs, P J, Helical coils of circular cross section: Helical coils of rectangular cross section, Helical inserts, for enhancement of heat transfer in boiling, Helium: Helmholtz reciprocity principle, in radiative heat transfer, Henry, J A R, Henry-Fauske model, for critical two-phase flow, Henry's law, for partial pressure, Heptadecane: Heptadecene: Heptane: 1-Heptanol: 1-Heptene: Herman, K W, Hermes, C L L, Heterogeneous conveyance in horizontal pipes, Heterogeneous nucleation in boiling, Hewitt, G F Hexachloroethane (Refrigerant 116): Hexacyclopentane, superheated vapor properties, Hexadecane: Hexadecene: 1,5-Hexadiene: Hexagonal cells, in free convection, Hexamethylbenzene: Hexane: Hexanoic acid: 1-Hexanol: 1-Hexene: Hexylbenzene: Hexylcyclohexane: Hexylcyclopentane, Hicks equation, for fixed-bed pressure drop, High pressure closures, ASME VIII code guidance for, High-chrome steels, thermal and mechanical properties, High-finned tubes, correlations for single-phase heat transfer in flow over, Hills, P D Hohlraum cavity, Holdup, in liquid-liquid flow, Holland, guide to national practice for mechanical design of heat exchangers, Homogeneous condensation (fog formation), Homogeneous model: Homogeneous nucleation: Honeycombs: Hopkins, D, Horizontal condensers: Horizontal cylinders: Horizontal layers, of fluid, free convection heat transfer in, Horizontal pipes: Horizontal shell-side evaporator, Horizontal surfaces: Horizontal thermosiphon reboilers: Horizontal tube-side evaporator, Horizontal tubes: Hottel's rule, in absorption of radiation by gases, Hsu criterion, for onset of nucleate boiling, Hybrid cooling towers, Hydraulic conveyance: Hydraulic expansion, of tubes into tube sheets in shell-and-tube heat exchangers, Hydraulic turbine, lost work in, Hydraulic resistance, in flow of supercritical fluids, Hydraulically smooth surface, Hydrazine: Hydrocarbons: Hydrodynamic entrance length, in single-phase flow in ducts, Hydrogen: Hydrogen bromide: Hydrogen chloride: Hydrogen cyanide: Hydrogen fluoride: Hydrogen iodide: Hydrogen peroxide: Hydrogen sulfide: Hydrostatic testing of shell-and-tube heat exchangers, Hysteresis:
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Banks of Plain and Finned Tubes

DOI 10.1615/hedhme.a.000170

2.5.3 Banks of Plain and Finned Tubes

Banks of plain and finned tubes are one of the most important arrangements for heat transfer. In what follows, Section A deals with plain tubes and Section B introduces general features of finned tubes. Sections C and D then deal with prediction methods for high fin and low fin tubes respectively.

A. Banks of plain tubes

(a) Introduction

In the field of power generation, in the chemical industries, and in other technologies, heat exchangers involving tubes in crossflow are widely employed. A bundle of circular tubes is one of the most common heat transfer surfaces, particularly in shell – and tube heat exchangers.

Detailed studies have established the relation between the heat transfer and the arrangement of tubes within the bundle (staggered or in-line), and have also established the effect of relative transverse (a = s1 /d), longitudinal (b = s2 /d) and diagonal (b1 = s' /d) pitches (as defined in Figure 1). The fluid approaches the bundle at an angle ψ to the axis of the tube, the "yaw angle". The most common case is where the fluid approaches in a direction normal to the tube axes (ψ = 90°), but often tubes operate at different yaw angles ψ to the flow, and this affects the heat transfer behaviour. Inside a bundle, the flow converges in the intertube spaces and forms a highly turbulent flow over the inner tubes. The recirculation region in the rear of an inner tube is smaller than that for a single tube. The situation is governed by the relative pitches and the bundle geometry. The more compact a bundle is, the larger is the deviation in heat transfer from the single-tube situation. The average heat transfer coefficient depends on the number of longitudinal rows because changes in the turbulence level in inner rows and because of the inlet-outlet effects.

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