An analysis of turbulent flow in concentric annuli

Quarmby, Alan

doi:10.1007/bf00383926

Cited by 17 publications

(9 citation statements)

References 8 publications

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“…In the past annular turbulent pipe flow with an inner annulus has been studied quite extensively by Brighton and Jones [5], Quarmby [6] and Rehme [3]. Most of this work focuses on the determination of the friction factor and on the radial location of the maximum streamwize velocity.…”

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confidence: 99%

Numerical Simulation of Turbulent Flow in Concentric Annuli

Boersma

Breugem

2010

Flow Turbulence Combust

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In this paper we consider a fully developed turbulent flow in a round pipe with a small inner annulus. The diameter of the inner annulus is less than 10% of the diameter of the outer pipe. As a consequence, the surface area of the inner pipe compared to the outer pipe is small. The friction exerted by the wall on the flow is proportional to the surface area and the wall shear stress. Due to the small surface area of the inner annulus the additional stress on the flow due to the presence of the annulus may expected to be negligible. However, it will be shown that the inner annulus drastically changes the flow patterns and gives rise to unexpected scaling properties. In previous studies (Chung et al., Int J Heat Fluid Flow 23:426-440, 2002; Churchill and Chan, AIChE J 41:2513-2521, 1995 it was argued that radial position of the point of zero shear stress does not coincide with the radial location of the point of maximum axial velocity. In our direct numerical simulations we observe a coincidence of these points within the numerical accuracy of our model. It is shown that the velocity profile close to the inner annulus is logarithmic.

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confidence: 99%

Numerical Simulation of Turbulent Flow in Concentric Annuli

Boersma

Breugem

2010

Flow Turbulence Combust

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“…Coefficient method 4 followed the approach of coefficient method 3 but used Eqs. (5), (10), and (11). The shell temperature was assumed to be linear in increment Az, and the following differential equation was obtained.…”

Section: Coefficient Methodsmentioning

confidence: 98%

“…The approach was the same as coefficient method 2 using backwards finite differencing, but Eqs. (5), (10), and (11) were solved instead of Eqs. (5), (9), and (11).…”

Section: Coefficient Methodsmentioning

confidence: 99%

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Thermally Developing Flow in an Annulus with a Boiling Boundary

Shin

1988

Journal of Thermophysics and Heat Transfer

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Heat transfer from a liquid flowing in an annulus to a boiling fluid flowing in a tube was analyzed using four general formulations and several variations of them. The degree of complexity varied significantly among these analysis methods due primarily to the assumption of thermally fully developed flow applied in some methods and not in others. Measurements from a sodium-heated boiling water experiment provided the boundary conditions for the annulus heat-transfer problem. Finite-difference techniques were employed in some of the analyses, and an appropriate inverse heat-transfer technique was included in one of them. Comparisons of heat-transfer parameters calculated from the analysis methods are presented and the accuracies assessed. Three of these methods compared favorably with the most complete and complex of the analyses considered. Nomenclature= initial sodium temperature distribution at z=0, °C h = heat transfer coefficient, W/m 2 K k = thermal conductivity, W/m K k e = effective turbulent thermal conductivity, W/m K M = mass flowrate, kg/s q = heat flux at tube inner surface, W/m 2 r = radial coordinate measured from centerline of water tube, m T = temperature, °C TSAT = saturation temperature, °C TWALL = temperature at Z), (wall i.d. temperature), °C V = axial velocity, m/s z = axial coordinate in direction of sodium flow, m p = density, kg/m 3

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“…the Jacobian matnx can be evaluated using and (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20).…”

Section: Finite Element Formulationmentioning

confidence: 99%

Turbulent fluid flow, heat transfer and onset of nucleate boiling in annular finned passages

Shim

Soliman

Sims

2000

International Journal of Thermal Sciences

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The author has granted a nonexclusive licence allowing the National Library of Canada to reproduce, loaq distribute or seil copies of this thesis in microform, paper or electronic formats. The author retains ownership of the copyright in this thesis. Neither the thesis nor substantial extracts fiom it may be printed or otherwise reproduced without the author's permission. TEE UNIVERSITY OF MANITOBA FACULTY OF GRADUATE STUDIES COPYRlCaT PERMISSION A Thwis/Pneticum submittai to the Faculty of Graduate Studies of the University of Manitoba in partial fulfiillment of the nquirements for the degrcc of Permission bas k e n granted to the LIBRARY OF THE UNIVERSITY OF MANITOBA to lend or seIl copies of tbù tbesis/practicum, to the NATIONAL LIBRARY OF CANADA to microfilm this thcsidpracticum and to lend or sel1 copies of the film, and to UNIVERSITY MICROFILMS INC. to publisb an abstract of this thcsis/pmcticum.. This reproduction or copy of this thais has bccn made available by authority of the copyright owner solely for tbe purpose of private study and research, and may only be reproduced and copied as permitted by copyright L w s or witb express writtcn authorization from the copyright owuer. 1 would like ta convey my sincece appreciation to my advisors at the University of Manitoba, Professors Soliman, H.M. and Sims, GE. for their guidance and encouragement throughout the course of the work. 1 would like to thank Professor Britton, M. of the University of Manitoba, and Dr. Krishnan, V.S. and Mr. Richards, D.J. of Atomic Energy of Canada Limited for their keen interest and for providing usefbl cornments through the Advisory Cornmittee. 1 would also like to thank Dr. Kowalski, J.E. of Atomic Energof Canada Limited for providing experimental data for the finned annulus geometries.

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An analysis of turbulent flow in concentric annuli

Cited by 17 publications

References 8 publications

Numerical Simulation of Turbulent Flow in Concentric Annuli

Numerical Simulation of Turbulent Flow in Concentric Annuli

Thermally Developing Flow in an Annulus with a Boiling Boundary

Turbulent fluid flow, heat transfer and onset of nucleate boiling in annular finned passages

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