Laminar Flow Along a Vertical Wall

Haugen, R. L.

doi:10.1115/1.3601284

Cited by 23 publications

(5 citation statements)

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“…Buchanan (1967) assumed that films on facets passed through different flow regimes as operating conditions were varied, and based his holdup prediction on the two limiting ones, called the gravity-inertia and the gravity-viscosity regime (Figure 2b). The gravity-inertia regime is in fact one-dimensional potential flow, which has been used in falling film hydrodynamics to model entry flow (such as Haugen, 1968;Anderson and Ytrehus, 1985), and the gravity-viscosity regime is just developed laminar flow. In the final form the expression for holdup is: The first term describes the gravity-viscosity and the second the gravity-inertia regime, Fr denotes the Froude number defined as r2/(gdj) and coefficients 2.2 and 1.8 are adjustable constants, of which the second incorporates a factor for the assumed energy loss at facet joints.…”

Section: Models Of Holdup In Conventional Packed Bedsmentioning

confidence: 99%

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Liquid holdup in rotating packed beds: Examination of the film flow assumption

Bašić¹,

Duduković²

1995

AIChE Journal

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Possibilities of predicting liquid holdup in rotating packed beds are examined using the film flow theory. A hydrodynamic model based on film flow on theparticle scale accommodates both laminar and turbulent films in the entry and developed regime. Conductance measurement was used for experimental determination of liquid holdup and estimation of the degree of anisotropy of liquid distribution. Experimental results represent the first data for liquid holdup in the rotating packed bed as a function of operating conditions and liquid properties. They indicate an anisotropic liquid distribution dependent on the operating variables. While the film model can befitted to the experimental data, such a f i t lacks a theoretical basis andthe classical theory of film flow on the particle scale cannot explain the liquid flow in rotating packed beds. An empirical expression correlates well the holdup data with the operating parameters.

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Section: Models Of Holdup In Conventional Packed Bedsmentioning

confidence: 99%

“…Dissipative forces, be they laminar or turbulent, are negligible. Such flow is potential and we assume also that it is one-dimensional, as has been done often in the study of falling films (Haugen, 1968;Andersson and Ytrehus, 1985). The resulting particle-scale problem is shown in Figure 2b-left.…”

Section: Aiche Journalmentioning

confidence: 99%

Liquid holdup in rotating packed beds: Examination of the film flow assumption

Bašić¹,

Duduković²

1995

AIChE Journal

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“…The analytical solution for the film thickness under fully developed conditions may be written as follows:

(\frac{δ_{normalfd}}{δ_{normalin}}) = {((), \frac{3 {Fr}_{L}}{{Re}_{L}})}^{1 / 3} = α^{1 / 3}

where

α

is a parameter used by Haugen, Roy, and Lawrence and Rao …”

Section: Comparisons With Previous Workmentioning

confidence: 99%

“…where˛is a parameter used by Haugen, [6] Roy, [7] and Lawrence and Rao. [8] The analytical solution for velocity distribution in the liquid film in the fully-developed region is as follows:…”

Section: Fully Developed Analytical Solutionmentioning

confidence: 99%

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A sharp‐interface elliptic numerical model of laminar two‐phase gas‐liquid downward flow in a vertical parallel plate channel

Saleh

Ormiston

2016

Can J Chem Eng

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A sharp‐interface two‐phase numerical analysis is performed for co‐current downward laminar flow of a liquid film and a gas. A complete two‐phase model based on the two‐dimensional elliptic governing equations is presented. The numerical model implements a dynamically moving non‐orthogonal computational mesh that tracks the phase interface precisely. The capability of this new model is demonstrated by comparisons with two previous free surface falling film studies and one experiment. New results are presented on the effect of independent variation of the Reynolds and Froude numbers on the axial variation of the film free surface. Finally, the effects of the velocity of the gas phase on the liquid film development are examined for flow in a parallel‐plate channel. An analytical solution for the fully‐developed velocity profiles for the two‐phase flow is also presented.

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The measurement and prediction of temperatures at the free interface of falling water films under heat transfer

Borodin

Picot

1976

Can J Chem Eng

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This paper describes an experimental measurement of temperatures at the free liquid interface of distilled water films falling vertically downwards on the outside surface of a copper tube heated internally by a countercurrent circulating liquid. An infrared radiometer was used for the temperature measurements. A prediction for these temperatures is made by solving numerically the governing equations of momentum, continuity and energy. Experimentally estimated temperature profiles were employed as the wall temperature boundary conditions. Internal turbulence eddies and surface wave celerity were considered in the numerical solution by using the eddy diffusivity profile of Mills and Chung. Good agreement between experiment and theory was obtained

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Laminar Flow Along a Vertical Wall

Cited by 23 publications

References 0 publications

Liquid holdup in rotating packed beds: Examination of the film flow assumption

Liquid holdup in rotating packed beds: Examination of the film flow assumption

A sharp‐interface elliptic numerical model of laminar two‐phase gas‐liquid downward flow in a vertical parallel plate channel

The measurement and prediction of temperatures at the free interface of falling water films under heat transfer

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