Flow at Ultra-High Reynolds and Rayleigh Numbers A Status Report by Russell J. Donnelly

Cover of: Flow at Ultra-High Reynolds and Rayleigh Numbers | Russell J. Donnelly

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Because of their extremely low viscosity, liquid helium and ultra-cold helium gas provide ideal media for fundamental studies of fluid flow and turbulence at extremely high Reynolds numbers. Such flows occur in aerospace applications (satellite reentry) and other extreme conditions, where they are difficult to study. A cryogenic-helium wind tunnel would allow one to model these flows in a laboratory at much more benign conditions. Such studies have not been feasible because, using these fluids in a wind tunnel requires more liquid helium than has readily been available. However, the capacity of the refrigerators installed at several physics laboratories that supply liquid helium for particle accelerators (such as the one intended for the SSC in Texas or the one at Brookhaven National Laboratory) is so great that some of the liquid helium or the ultra-cold helium gas may also be used for fluid dynamics studies. The chapters in this book survey the challenges and prospects for research on fluid flows at high Reynolds and Rayleigh numbers using cryogenic helium. They cover a wide range of topics: from refrigeration and instrumentation to theories of superfluid turbulence. The chapters are largely based on contributions to a workshop held at Brookhaven, but these have all been brought up to the state of the art in late 1997; in addition, several chapters contain entirely new material. This book will be of interest to physicist interested in fluid dynamics, mechanical engineers interested in turbulent flows and transport, and naval and aerospace engineers.

Edition Notes

Book details

Statementedited by Russell J. Donnelly, Katepalli R. Sreenivasan
ContributionsSreenivasan, Katepalli R.
Classifications
LC ClassificationsQC138-168.86, QA930
The Physical Object
Format[electronic resource] :
Pagination1 online resource (xviii, 466p. 316 illus.)
Number of Pages466
ID Numbers
Open LibraryOL27039166M
ISBN 101461274648, 1461222303
ISBN 109781461274643, 9781461222309
OCLC/WorldCa853262810

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Flow at Ultra-High Reynolds and Rayleigh Numbers A Status Report. Editors: Donnelly, Russell J., Streenivasan, Katepalli R. (Eds.) Free Preview. The chapters in this book survey the challenges and prospects for research on fluid flows at high Reynolds and Rayleigh numbers using cryogenic helium.

They cover a wide range of topics: from refrigeration and instrumentation to theories of superfluid turbulence. Flow at Ultra-High Reynolds and Rayleigh Numbers pp | Cite as Helium Flows at Ultra-High Reynolds and Rayleigh Numbers: Opportunities and Challenges AuthorsCited by: 3.

New Results in Cryogenic Helium Flows at Ultra-high Reynolds and Rayleigh Numbers Article (PDF Available) in Journal of Low Temperature Physics (5) January with 15 Reads. The Temperature and Pressure Dependencies of Fluid Properties: Implications for Achieving Ultra-High Rayleigh and Reynolds And Rayleigh Numbers: Authors: Maddocks, James R.

Publication: Flow at Ultra-High Reynolds and Rayleigh Numbers, A Status Report. Edited by Russell J. Donnelly and Katepalli R.

Sreenivasan. Flow at Ultra-High Reynolds and Rayleigh Numbers, A Status Report. Edited by Russell J. Donnelly and Katepalli R. Sreenivasan. Berlin Heidelberg: Springer-Verlag,p An Internet Book on Fluid Dynamics Flow around a Sphere at High Reynolds Number For steady flows about a sphere in which dUi/dt = dVi/dt = dWi/dt =0,itisconvenienttousea coordinate system, xi, fixed in the particle as well as polar coordinates (r,θ) and velocitiesur,uθ as defined in figure Size: 94KB.

A simple shear Flow at Ultra-High Reynolds and Rayleigh Numbers book is the steady flow between Flow at Ultra-High Reynolds and Rayleigh Numbers book parallel plates moving at different velocities and called a Couette flow (Fig. The Couette flow is characterized by a constant shear stress distribution.

In laminar flow regime, the velocity profile is linear. However, with increasing Reynolds number. Rayleigh Taylor mixing: direct numerical behavior at ultra-high Reynolds number, beyond present computational capabilities.

2 Phys. Scr. 92 () D LYoungs. Several researchers have tried to improve agreement between simulations and experiments by taking the initialCited by:   Has the ultimate state of turbulent thermal convection been observed.

- Volume - L. Skrbek, P. Urban Sreenivasan, K. Helium flows at ultra-high Reynolds and Rayleigh numbers. In Flow at ultra-high Reynolds and Rayleigh numbers Cited by: Some Issues in Geophysical Turbulence and the Need for Accurate High Reynolds Number MeasurementsAuthor: Jackson R.

Herring. The values of the constants C and n depend on the geometry of the surface and the flow regime, which is characterized by the range of the Rayleigh number. The value of n is usually n = 1/4 for laminar flow and n = 1/3 for turbulent flow.

The flow pattern and number of vortices at this Rayleigh number is similar to those of R a = 5 except the value of | max | is greater at R a = 6. It should be noted that all of the computations in the case of R a = 6 are obtained by using an unsteady solution and time averaging for a period of time.

Get this from a library. Flow at ultra-high Reynolds and Rayleigh numbers: a status report. [Russell J Donnelly; Katepalli R Sreenivasan;] -- Because of their extremely low viscosity, liquid helium and ultra-cold helium gas provide ideal media for fundamental studies of fluid flow and turbulence at extremely high Reynolds numbers.

Such. Get this from a library. Flow at Ultra-High Reynolds and Rayleigh Numbers: a Status Report. [Russell J Donnelly; Katepalli R Sreenivasan] -- Because of their extremely low viscosity, liquid helium and ultra-cold helium gas provide ideal media for fundamental studies of fluid flow and turbulence at extremely high Reynolds numbers.

Such. adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. The Reynolds number Re = U L /ν depends on the fluid kinematic viscosity ν, which is the property of the fluid, and the characteristic velocity U and the characteristic length L.

The following table gives several examples of the values of Re for particular values of the speed and length for air and water. choked flow • What happens if Qin>Qmax – subsonic flow: must move to different Rayleigh line (–––), i.e., lower mass flux – supersonic flow: get a shock (–––) M1 Me q =Q m h s M1 heating stays on same Rayleigh line: ρv and p+ρv2 also const.

for normal shock Rayleigh Flow -4 AE School of Aerospace File Size: KB. Flow at ultra-high reynolds and rayleigh numbers: a status report By Russell Donnelly and Katepalli Sreenivasan No static citation data No static citation data CiteAuthor: Russell Donnelly and Katepalli Sreenivasan.

Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report by Donnelly, Russell J., Streenivasan, Katepalli R., eds. and a great selection of related books, art and collectibles available now at Table to determine the Reynolds number and in turn the Nusselt number. In all cases the fluid properties are evaluated at the mean fluid temperature given as T mean = 1 2 (T m,in +T m,out) except for μ w which is evaluated at the wall temperature, T w.

Turbulent Flow in Circular Tubes, Isothermal (UWT) and Isoflux (UWF) For. Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report, Springer,with R.J. Donnelly Perspectives and Problems in Nonlinear Physics, Springer,with E. Kaplan and J.E. Marsden Two issues of Flow, Turbulence and Combustion: Special Issues in Honor of Professor R.A.

Antonia, pp.(with R.W. Bilger). where ν = µ/ρ is the kinematic viscosity (and µ is the dynamic viscosity). If l = 20 m, ν = 10−6 m2 s−1, Q = 10 m3 s−1, then Re ∼ × Inevitably, river flow is turbulent for all but the smallest rivulets.

A different measure of the Reynolds number is Re = uh ν, () where u is mean velocity and h is mean depth. In a wide channel, we have that the. Therefore, for fully developed laminar flow in a circular tube subjected to constant surface heat flux, the Nusselt number is a constant.

There is no dependence on the Reynolds or the Prandtl numbers. In fluid dynamics, turbulent flow is characterized by the irregular movement of particles (one can say chaotic) of the fluid. In contrast to. This book reports the latest development and trends in the low Re number aerodynamics, transition from laminar to turbulence, unsteady low Reynolds number flows, experimental studies, numerical transition modelling, control of low Re number flows, and MAV wing aerodynamics.

The contributors to each chapter are fluid mechanics and aerodynamics scientists and engineers with strong expertise in Cited by: 6. Author(s): Donnelly,Russell J; Sreenivasan,Katepalli R Title(s): Flow at ultra-high Reynolds and Rayleigh numbers: a status report/ Russell J.

Donnelly, Katepalli R. Sreenivasan. Country of Publication: United States Publisher: New York: Springer, c Rayleigh flow: Inviscid compressible flow with heat transfer: Lord Rayleigh: Rayleigh problem: Flow due to sudden movement of a wall: Lord Rayleigh: Schlichting jet: Axisymmetric jet at large Reynolds number: Hermann Schlichting: Sampson flow: Flow through a circular orifice in a plane wall: R.

Sampson: Schneider flow: Flow induced by jets. The Reynolds number is an important dimensionless quantity in fluid mechanics used to help predict flow patterns in different fluid flow situations. At low Reynolds numbers, flows tend to be dominated by laminar flow, while at high Reynolds numbers turbulence results from differences in the fluid's speed and direction, which may sometimes intersect or even move counter to the overall direction of the flow.

These eddy currents begin to churn the flow. Reynolds Number - the non-dimensional velocity - can be defined as the ratio. u = velocity based on the actual cross section area of the duct or pipe (m/s, ft/s) For a pipe or duct the characteristic length is the hydraulic diameter. The Reynolds Number for the flow in a duct or pipe can with the hydraulic diameter be expressed as.

Nusselt number is the ratio of the resistance to conductive transport to that of convective transport. Thus, Re number plays a role but so does Pr (Ra is also a function of Pr) which is the ratio. Katepalli R. Sreenivasan is the author of A Voyage Through Turbulence ( avg rating, 9 ratings, 1 review, published ), Flow at Ultra-High Reynolds /5.

I'll try to give an explanation without formulas. Prandtl number is the ratio between flow diffusivity (viscosity) and heat diffusivity.

It is depends on the temperature and is just a combination of material properties. It also gives the ratio. Rayleigh number: Ra: Ra = l 3 g α ΔT ρ /(η a) Predict if heat transfer appear as conduction or convection: Reynolds number: Re: Re = p ν l / η: Predictions of fluid flow patterns: Magnetic Reynolds number: Re m: Re m = ν μ κ l: Estimates of the relative effects of advection or induction of a magnetic field: Schmidt number: Sc: Sc = η.

Definition. Reynolds number can be defined for a number of different situations where a fluid is in relative motion to a surface. inertial forces defined in the classical way’.

[4]where: is the mean velocity of the object relative to the fluid (SI units: m/s)is a characteristic linear dimension, (travelled length of the fluid; hydraulic diameter when dealing with river systems) (m). Rayleigh flow refers to frictionless, non-Adiabatic flow through a constant area duct where the effect of heat addition or rejection is considered.

Compressibility effects often come into consideration, although the Rayleigh flow model certainly also applies to incompressible this model, the duct area remains constant and no mass is added within the duct.

Series Number 3 Quantized Vortices in Helium II Dimensioner x x 26 mm Vikt g Antal komponenter 1 Komponenter xvii, p.: ISBN Du kanske gillar.

Flow at Ultra-High Reynolds and Rayleigh Numbers Russell J Donnelly, Katepalli R Streenivasan This book discusses the properties of quantized vortex lines in superfluid. Russell J. Donnelly, Katepalli R. Streenivasan, Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report, Springer Science & Business Media →ISBN, page First we renounced the directivity of the velocity measurement by using a hot point whose size is of order of the wire diameter [4].

Numerical simulations have shown that. In Osborne Reynolds demonstrated the transition to turbulent flow in a classic experiment in which he examined the behaviour of water flow under different flow rates using a small jet of dyed water introduced into the centre of flow in a larger pipe.

The larger pipe was glass, so the behaviour of the layer of dyed flow could be observed, and at the end of this pipe was a flow-control. obtained the critical Reynolds number of 40 at which vortices are shed, and the correlation between the Strouhal number, and Reynolds number from the critical value of 40 to aro Roshko [4] used standard hot-wire techniques to study the wake development behind the circular cylinder at low Reynolds number in a low-speed wind Size: 1MB.

Since the time Kolmogorov postulated the universality of small-scale turbulence, an important research topic has been to experimentally establish it beyond doubt. The likelihood of small-scale universality increases with increasing distance (say, in wave number space) from the nonuniversal large scales.

This distance increases as some power of the flow Reynolds number, and so a great Cited by:. The effects of an external radiation source, flow Reynolds number, and Darcy number (permeability) are also shown. The comparisons of the results generated here with those generated assuming the validity of Darcy's law within the porous medium predict the limiting Darcy number for which application of Darcy's law is valid.‘The purpose of this book is to provide a comprehensive and systematic account of fluid flow in pipes, components, and internal flow systems.

Rayleigh processes are discussed together with generalized flow, shocks, normal and chapter covers compressible flow and flow at Reynolds numbers .Dr. Britcher currently serves as Associate Chair of the Department of Mechanical and Aerospace Engineering, and as Director of graduate Programs for the National Institute of Aerospace Control and Commissioning of the Magnetic Suspension and Balance System for the Princeton/ONR High Reynolds Number Testing Facility" $, Other.

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