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Lamella heat exchangers, Laminar flow: Laminar flow control, of boundary layers, Lancaster, J F, Langelier index for water quality, Large eddy simulation, in prediction of turbulent boundary layers, Laws for turbulent flows: Layers of fluid, free convection heat transfer in, Le Fevre equations for free convective heat transfer, Leakage between streams, in shell-and-tube heat exchangers Leakage effects, on heat transfer and pressure drop in shell-and-tube heat exchangers, Leaks, in heat exchanger, sealing by explosive welding, Lebedev, M E, Lee and Kesler equation, for vapour pressure, L-footed fins, Lessing rings, characteristic of, as packings for fixed beds, Li equation, for critical temperature of mixtures, Lienhard and Dhir analysis of critical heat flux in pool boiling, Lienhard and Eichhorn criterion, for transition in critical heat flux mechanism in crossflow over single tube, Lift force: Liley, P E, Limb, D, Limpet coils: Linnhoff, B, Liquefaction, exergy analysis of, Liquid fluidized beds, Liquid fuels, properties of, Liquid hold-up, Liquid-liquid-gas flow, Liquid-liquid flow, Liquid metals: Liquid sheets, in direct contact heat transfer, Liquid-solid interfaces, fouling at, Liquids: Lister, D H, Local conditions hypothesis, for critical heat flux in flow boiling, Lockhart and Martinelli correlations: Lodge's rubberlike liquid (non-Newtonian), Logarithmic law region, Logarithmic mean temperature difference Longitudinal flow and heat transfer in tube banks, Long-tube vertical evaporator, Loss coefficient, Lost work in unit operations/exergy analysis, Louvered fins, in plate fin exchangers, Low-alloy steels: Low-finned tubes: Low-nickel steels, Lubricants, physical properties: Lucas methods
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Liquid-Liquid Flow

DOI 10.1615/hedhme.a.000157

2.3 MULTIPHASE FLUID FLOW AND PRESSURE DROP
2.3.5 Liquid-liquid two-phase flow

A. General description of liquid-liquid flows: Flow patterns

Flows of mixtures of two immiscible liquids are encountered frequently in the design of industrial processes and equipment. The two liquids are almost exclusively an aqueous phase (water) and an organic (oil) phase. Gas-liquid systems actually represent a very particular extreme of two-fluid systems characterized by low-density ratio and low viscosity ratio. In liquid-liquid systems the density contrast between the phases is low. However, the oil phase may be lighter or heavier than the aqueous phase. Hence, the viscosity ratio between the lighter and heavier liquids ranges between more than a million to less than 10–6. Oils and oil-water emulsions may show a Newtonian or non-Newtonian rheological behavior (Sherman, 1968 and Schramm, 1992). Therefore, the various concepts and results experienced in gas-liquid two-phase flows cannot be readily translated to liquid-liquid systems.

(a) Flow patterns in horizontal tubes

Diverse flow patterns were observed in liquid-liquid systems (Russell and Charles, 1959; Russell et al., 1959; Charles et al., 1961a; Charles et al., 1961b; Guzhov and Medvedev, 1971; Guzhov et al., 1973; Guzhov et al., 1974; Soot, 1971; Malinowsky, 1975; Laflin and Oglesby, 1976; Oglesby, 1979; Scott, 1985; Arirachakaran et al., 1989; Cox, 1986; Valle and Utvik, 1997; Valle and Kvandal, 1995; Trallero, 1995; Angeli, 1996; Tabeling et al., 1991; Nädler, 1995; Mewes et al., 1997; Andreini et al., 1997; Hapanowicz et al., 1997). These may be classified into four basic prototypes:

  1. Stratified layers with either smooth or wavy interface.

  2. Large slugs, elongated or spherical, of one liquid in the other.

  3. A dispersion of relatively fine drops of one liquid in the other.

  4. Annular flow, where one of the liquids forms the core and the other liquid flows in the annulus.

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