An experimental study of turbulent flow through concentric annuli

Quarmby, Alan

doi:10.1016/0020-7403(67)90030-6

Cited by 57 publications

(18 citation statements)

References 13 publications

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“…Now, according to Maubach [5], the following friction law (4) applies for smooth circular tubes with L = DJ2 and 11 Ij&,YJj(~) = 1 (13) j=l U* = umJ(D (8) […”

Section: O;mentioning

confidence: 99%

Simple method of predicting friction factors of turbulent flow in non-circular channels

Rehme

1973

International Journal of Heat and Mass Transfer

115

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Abstract-On the basis of friction factor relationships of a simple model a method is developed which allows the prediction of friction factors for turbulent flow in non-circular channels if only the geometry factor of the pressure drop relationship for laminar flow is known. The proposed method of calculation is tested with numerous experimental results from the literature with respect to non-circular channels such as triangular shaped ducts, eccentric annuli and rod bundles in hexagonal and square arrays in circular tubes, hexagonal and square channels. It turns out that the proposed method provides an excellent description of all the experimental data at hand.channel wall and rods; annular zone parameter; wall distance; dimensionless wall distance y+ =

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“…Now, according to Maubach [5], the following friction law (4) applies for smooth circular tubes with L = DJ2 and 11 Ij&,YJj(~) = 1 (13) j=l U* = umJ(D (8) […”

Section: O;mentioning

confidence: 99%

Simple method of predicting friction factors of turbulent flow in non-circular channels

Rehme

1973

International Journal of Heat and Mass Transfer

115

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“…The eomparison of results obtained by equations (7) and (8) yields but small differenees. This result eonfirms the assumptions made by Schliehting with respect to the ehanne1 width band the slope 2·5 of a universal velocity profile over the rough wall too [equation (10)].…”

Section: Interpretation Of the Values Measured By Schlichtingmentioning

confidence: 75%

“…On the other hand, Quarmby [7] measures the wall shear stress directly using Preston tubes [8J and he finds but insignificant deviations from equation (4); the same is found by Smith, Lawn and Hamlin [9].…”

Section: The Importance Of Non-coincidence Ofmentioning

confidence: 76%

“…Schlichting obtains the friction velocity ui on the smooth wall by plotting the measured velocity distribution and assuming that the dimensionless velocity profile [equation (4) Table 3) the location T = 0 can be calculated as follows with ui and the pressure gradient (7) Equation ( In this calculation neither a universal protue with the slope 2·5 is assumed on the rough wall nor is a statement made on the location of y = 0 on the rough wall. The location of T = 0 calculated with equation (7) was determined for all experimental results.…”

Section: Interpretation Of the Values Measured By Schlichtingmentioning

confidence: 99%

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Negative eddy diffusivities for asymmetric turbulent velocity profiles?

Maubach¹,

Rehme²

1972

International Journal of Heat and Mass Transfer

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Abstract-It appears from the experimental results obtained by quite a number of authors that for asymmetrie turbulent velocity profiles the locations of maximum velocity and zero shear stress are not identical. This report deals with the importance of this effect for the calculation of momentum, heat, and mass transfer in non-circular channels as well as for the discussion on universal velocity profiles. The report is providing a survey of the works referring to this effect. These informations are supplemented by unpublished results derived from the critical interpretation of measurements carried out by several authors.An empirical relation is indicated which allows to estimate the magnitude of the effect studied.

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“…Heat transfer investigations have been much less extensive and limited to the measurement of the mean temperature profiles and evaluation of the heat transfer coefficients. The reports that appeared prior to 1967 have been discussed by Quarmby [1 ] who tried to reconcile some of the evident disagreements between the data of various authors. Quarmby also performed extensive measurements of the mean flow parameters.…”

Section: Introductionmentioning

confidence: 95%

Prediction of turbulent flow in annular ducts with differential transport model of turbulence

Hanjalić¹

1974

Wärme- und Stoffübertragung

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Abstract. In general, flow in an annulus will be strongly asymmetric because of unequal curvatures and, possibly, dissimilar texture of the two boundaries. As a result, the turbulent flow structure in such geometries possesses a number of features which can not satisfactorily be accounted for with a simple model of turbulence. The present paper provides predictions based on a more elaborate model, developed by the author, in which differential transport equations are solved for the turbulent shear stress, the turbulent kinetic energy and the rate of the turbulence energy dissipation, simultaneously with the mean momentum equation. The complete model thus consists of a closed set of four coupled non-linear partial differential equations. Predictions of flow in annuli with both smooth and rough cores with various radius ratios display in all eases very good agreement with experimental results of various authors.Zusammenfassung. Die Str6mung im Ringkanal ist ~n allgemeinen stark unsymmetrisch wegen unterschiedlicher Wandkriimmungen und u.U. auch Wandtexturen. Die dadurch hervorgerufene Struktur der turbulenten Str6mung kann mit einfachen Turbulenzmodetlen nicht befriedigend beschrieben werden. In dieser Arbeit wird ein vom Autor entwickeltes verfeinertes Modell verwendet, in dem Transport-Differentialgleichungen gel6st werden ftir die turbulente Schubspannung, die turbulente kinetische Energie und die Energiedissipation der Turbulenz, zusammen mit der Gleichung des mittleren Impulses. Das vollst~indige Modell besteht also aus einem geschlossenen Satz yon vier gekoppelteu nichtlinearen partiellen Differentialgleichungen. Voraussagen ftir die Ringkanalstr6mung mit glatter und rauher Innenwand und verschiedenen Durchmesserverh~ilt-nissen stimmen sehr gut mit yon verschiedenen Autoren gemessenen Werten iiberein.

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An experimental study of turbulent flow through concentric annuli

Cited by 57 publications

References 13 publications

Simple method of predicting friction factors of turbulent flow in non-circular channels

Simple method of predicting friction factors of turbulent flow in non-circular channels

Negative eddy diffusivities for asymmetric turbulent velocity profiles?

Prediction of turbulent flow in annular ducts with differential transport model of turbulence

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