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F-correction method: F-factor charts and equations for various heat exchanger configurations, F-factor method: F-type shells: Fabrication: Failure modes of heat exchangers, Falling films, direct contact heat transfer in, Falling film evaporator: Fanno flow, Fans in air-cooled heat exchangers: Fatigue as failure mode of a heat exchanger Fatigue life, of expansion bellows, Fawcett, R Fedor's method, for critical temperature, Fenghour, A Ferritic stainless steels, as material of construction, Fick's law for diffusion, Film boiling: Film model, condenser design by Film temperature, definition of for turbulent flow over flat plate, Films in heat exchangers, Filmwise condensation: Fincotherm, heat transfer medium, Finite-difference equations: Finite difference methods: Finite-element methods: Fins (see also Extended surfaces): Fire-tube boiler, Fired heaters, Fires, room, radiation interaction phenomena in, Firsova, E V, Fixed beds: Fixed tubesheet, shell-and-tube exchangers: Flanges, mechanical design of in heat exchangers, Flash evaporation Flat absorber of thermal radiation, Flat heads: Flat plate: Flat reflector of thermal radiation, Floating head designs for shell-and-tube heat exchangers: Flooded type evaporator, in refrigeration, Flooding phenomena: Flow distribution: Flow-induced vibration, Flow regimes: Flow stream analysis method for segmentally baffled shell and tube heat exchangers, Flue gases, fouling by, Fluid elastic instability as source of flow-induced vibration, Fluid flow, lost work in, Fluid mechanics, Eulerian formulation for, Fluid-to-particle heat transfer in fluidized beds, Fluidized bed dryer: Fluidized bed gravity conveyors, Fluidized beds: Fluids: Fluorine: Fluorobenzene: Fluoroethane (Refrigerant 161): Fluoromethane (Refrigerant 41): Fluted tubes: Flux method, for modeling radiation in furnaces, Flux relationships in heat exchangers, Fogging in condensation Food processing, fouling of heat exchangers in, Forced flow reboilers: Formaldehyde: Formamide: Formic acid: Forster and Zuber correlation for nucleate boiling, Fouling, Foam systems, heat transfer in, Four phase flows, examples, Fourier law for conduction Fourier number (Fo): Frames for plate heat exchangers, France, guide to national practice for mechanical design, Free convection: Free-fall velocity, of particles, Free-stream turbulence, effect on flow over cylinders, Freeze protection of air-cooled heat exchangers, Freezing, of condensate in condensers Fresnel relations in reflection of radiation, Fretting corrosion, Friction factor: Friction multipliers in gas-liquid flow: Friction velocity, definition, Friedel correlation for frictional pressure gradient in straight channels, Froude number: Fuels, properties of, Fuller, R K, Furan: Furfural: Furnaces: Fusion welding, of tubes into tubesheets in shell-and-tube heat exchangers,

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A B C D E F
F-correction method: F-factor charts and equations for various heat exchanger configurations, F-factor method: F-type shells: Fabrication: Failure modes of heat exchangers, Falling films, direct contact heat transfer in, Falling film evaporator: Fanno flow, Fans in air-cooled heat exchangers: Fatigue as failure mode of a heat exchanger Fatigue life, of expansion bellows, Fawcett, R Fedor's method, for critical temperature, Fenghour, A Ferritic stainless steels, as material of construction, Fick's law for diffusion, Film boiling: Film model, condenser design by Film temperature, definition of for turbulent flow over flat plate, Films in heat exchangers, Filmwise condensation: Fincotherm, heat transfer medium, Finite-difference equations: Finite difference methods: Finite-element methods: Fins (see also Extended surfaces): Fire-tube boiler, Fired heaters, Fires, room, radiation interaction phenomena in, Firsova, E V, Fixed beds: Fixed tubesheet, shell-and-tube exchangers: Flanges, mechanical design of in heat exchangers, Flash evaporation Flat absorber of thermal radiation, Flat heads: Flat plate: Flat reflector of thermal radiation, Floating head designs for shell-and-tube heat exchangers: Flooded type evaporator, in refrigeration, Flooding phenomena: Flow distribution: Flow-induced vibration, Flow regimes: Flow stream analysis method for segmentally baffled shell and tube heat exchangers, Flue gases, fouling by, Fluid elastic instability as source of flow-induced vibration, Fluid flow, lost work in, Fluid mechanics, Eulerian formulation for, Fluid-to-particle heat transfer in fluidized beds, Fluidized bed dryer: Fluidized bed gravity conveyors, Fluidized beds: Fluids: Fluorine: Fluorobenzene: Fluoroethane (Refrigerant 161): Fluoromethane (Refrigerant 41): Fluted tubes: Flux method, for modeling radiation in furnaces, Flux relationships in heat exchangers, Fogging in condensation Food processing, fouling of heat exchangers in, Forced flow reboilers: Formaldehyde: Formamide: Formic acid: Forster and Zuber correlation for nucleate boiling, Fouling, Foam systems, heat transfer in, Four phase flows, examples, Fourier law for conduction Fourier number (Fo): Frames for plate heat exchangers, France, guide to national practice for mechanical design, Free convection: Free-fall velocity, of particles, Free-stream turbulence, effect on flow over cylinders, Freeze protection of air-cooled heat exchangers, Freezing, of condensate in condensers Fresnel relations in reflection of radiation, Fretting corrosion, Friction factor: Friction multipliers in gas-liquid flow: Friction velocity, definition, Friedel correlation for frictional pressure gradient in straight channels, Froude number: Fuels, properties of, Fuller, R K, Furan: Furfural: Furnaces: Fusion welding, of tubes into tubesheets in shell-and-tube heat exchangers,
G H I J K L M N O P Q R S T U V W X Y Z

Introduction

DOI 10.1615/hedhme.a.000440

4.6.1 Introduction

In recent years flow-induced vibration has joined heat transfer and pressure drop as primary concerns when designing shell-and-tube heat exchangers. Two types of flow-induced vibration occur-tube vibration and acoustic vibration. Tube vibration involves motion of the tubes and can lead to damaged tubes. Tubes vibrate at their natural frequencies as a result of the shell-side fluid flowing past them. When the flow velocity becomes sufficiently high, the tubes vibrate with enough amplitude to strike the baffles, one another, or the shell. The result is that the tubes wear so thin that they can leak or the joint fastening them to the tubesheet fails and the exchanger must be taken out of service for repair and modification. Acoustic vibration causes very loud noises, up to 150 db, but seldom any tube motion or tube damage.

Section 4.6 presents an overview of the problems, the methods for predicting their occurrence, comparisons of predictions with field experience, and some suggestions for preventing vibration problems.

There has been a trend toward larger heat exchangers with increased shell-side velocities to improve heat transfer and to reduce the possibilities of fouling. Scale-ups of exchanger designs have been made without consideration of the effects that geometry and flow conditions have in causing flow-induced vibration.

Although many heat exchangers have developed vibration problems, how to prevent them is generally understood. What is often missing is the ability to adequately model the actual geometry and flow conditions. Most vibration experiments have been conducted under controlled conditions using single tubes or ideal tube banks exposed to uniform cross flow or parallel flow. Few investigations have addressed the specific problems associated with industrial heat exchanger configurations. Application of results from ideal tests is often difficult because of differences in geometry, in the way the flow is coupled to the motion of the tubes, and in the nonuniformity of the velocities throughout the bundle. Consequently, the ability to accurately predict the intensity of flow-induced vibration or the probability of damage is less than certain. However, heat exchangers can be designed that will not develop vibration problems if construction and operation constraints are respected.

Fluid flowing across or parallel to tubes can provide the energy required to excite them into vibration. Tubes vibrate at discrete frequencies that depend primarily on their geometry, means of support, and material properties. The lowest frequency at which a tube vibrates is called its fundamental natural frequency. The intensity of vibration is evidenced by the amount of periodic movement of the tube, with the largest movement often at the midspan between adjacent supports. The extent of the peak-to-peak movement about the at-rest centerline is termed the amplitude of vibration. Energy must be fed continuously to the tubes to sustain vibration as internal and external damping dissipate energy. Prolonged tube vibration with large amplitudes leads to mechanical failure of the tubes, which then permits leakage of fluids between the tube and shell sides of the exchanger. Mechanical failure of tubes is usually the result of one of the following:

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