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Vacuum equipment, operational problems of, Vacuum operation, of reboilers, Valle, A, Valves: Vaned bends, single-phase flow and pressure drop in, Vapor blanketing, as mechanism of critical heat flux, Vapor injection, effect of on boiling heat transfer in tube bundles, Vapor-liquid disengagement, in kettle reboilers, Vapor-liquid separation, for evaporators, Vapor mixtures, condensation of, Vapor pressure, Vapor recompression, in evaporation, Vaporization, choice of evaporator type for, Vaporizer, double bundle, constructional features, Vapors, saturation properties of, Vapors, properties of superheated, Vasiliev, L, Vassilicos, J C, Velocity defect law: Velocity distribution: Velocity fluctuations, in turbulent pipe flow, Velocity ratio (slip ratio): Venting of condensers Vertical condensers: Vertical cylindrical fired heater, Vertical pipes: Vertical surfaces: Vertical thermosiphon reboilers: Vessels of non-circular cross section, design to ASME VIII code, Vessels of rectangular cross section, EN13445 guidance for, Vetere method, for enthalpy of vaporisation, Vibrated beds, heat transfer to, Vibration: Vinyl acetate: Vinyl benzene: Vinyl chloride: Virial equation: Virk equation for maximum drag reduction, Visco-elastic fluids, flow of, Viscometric functions (non-Newtonian flow), methods of determining, Viscosity: Viscosity number (Vi), Viscous dissipation, influence on heat transfer in non-Newtonian flows, Viscous heat generation, in scraped sauce heat exchangers, Viscous sublayer, in duct flow, Void fraction, Voidage, in fixed beds, definition, Volumetric heat transfer coefficient, Volumetric mass transfer coefficient, von Karman friction factor equation for fully rough surface, von Karman velocity defect law, Vortex flow, in helical coils of rectangular cross section, Vortex flow model, for twisted tube heat exchangers, Vortex shedding:
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Flow-Induced Vibration Phenomena

DOI 10.1615/hedhme.a.000443

4.6.4 Flow-induced vibration phenomena

There are several recognized phenomena associated with flow-induced vibration. These include vortex shedding, fluid elastic instability, turbulent buffeting, parallel-flow eddy formation, and acoustic vibration. Since any one of these can produce a flow-induced vibration problem, each must be considered in any comprehensive vibration analysis for a shell-and-tube heat exchanger.

A. Vortex shedding

Flow across a tube produces a series of vortices in the downstream wake formed as the flow separates alternately from the opposite sides, of the tube as shown in Figure 1. This shedding of vortices produces alternating forces, which occur more frequently as the velocity of flow increases. For a single cylinder the tube diameter Do, the flow velocity u, and the frequency of vortex shedding fvs, can be described by the dimensionless Strouhal number Sr:

\[\label{eq1} \mbox{Sr} = \frac{f_{vs}D_o}{u}\tag{1}\]

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