Effect of Orifice Geometry on the Development of Slightly Heated Turbulent Jets

2015 ◽  
Vol 137 (11) ◽  
Author(s):  
Sehaba Madjid ◽  
Sabeur Amina ◽  
Azemi Benaissa
Keyword(s):  
Energy Dissipation ◽  
Kinetic Energy ◽  
Turbulent Jets ◽  
Passive Scalar ◽  
Energy Dissipation Rate ◽  
Scaling Factor ◽  
Inertial Range ◽  
Scalar Dissipation ◽  
Scaling Region ◽  
Self Similar

Passive scalar (temperature) mixing with different orifice geometries is considered at low Reynolds number. The kinetic energy dissipation rate shows that the three jets achieve a self-similar state quickly compared to a nozzle jet. Scalar dissipation evolves faster to the self-preserving state than kinetic energy dissipation and the asymptotic value of the normalized kinetic and scalar dissipation on the jet centerline can be predicted. Taylor and Corrsin microscales start evolving linearly with x/D as early as x/D = 10. Normalized spectra using these length scales continue to evolve for the circular jet and collapse faster for the six-lobe jet, when Rλ reach a constant value. The scaling factor and range for the velocity and the scalar suggest that the scaling region “similar to the inertial range” reaches equilibrium before small scales reach complete equilibrium. The use of multilobe jets promotes the development toward a complete self-preserving state for the scalar field.

Direct numerical simulations of passive scalars with Pr>1 advected by turbulent flow

1997 ◽  
Vol 343 ◽  
pp. 111-130 ◽  
Author(s):  
DAREK BOGUCKI ◽  
J. ANDRZEJ DOMARADZKI ◽  
P. K. YEUNG
Keyword(s):  
Reynolds Number ◽  
Energy Dissipation ◽  
Numerical Simulations ◽  
Reynolds Numbers ◽  
Passive Scalar ◽  
Direct Numerical Simulations ◽  
Scalar Dissipation ◽  
Passive Scalars ◽  
Self Similar ◽  
Low Reynolds

Direct numerical simulations of passive scalars, with Prandtl numbers Pr=3, 5, and 7, advected by turbulence at three low Reynolds numbers were performed. The energy spectra are self-similar under the Kolmogorov scaling and exhibit behaviour consistent with many other investigations: a short inertial range for the highest Reynolds number and the universal exponential form of the spectrum for all Reynolds numbers in the dissipation range. In all cases the passive scalar spectra collapse to a single self-similar curve under the Batchelor scaling and exhibit the k−1 range followed by an exponential fall-off. We attribute the applicability of the Batchelor scaling to our low-Reynolds-number flows to the universality of the energy dissipation spectra. The Batchelor range is observed for wavenumbers in general agreement with experimental observations but smaller than predicted by the classical estimates. The discrepancy is caused by the fact that the velocity scales responsible for the generation of the Batchelor range are in the vicinity of the wavenumber of the maximum energy dissipation, which is one order of magnitude less than the Kolmogorov wavenumber used in the classical theory. Two different functional forms of passive scalar spectra proposed by Batchelor and Kraichnan were fitted to the simulation results and it was found that the Kraichnan model agrees very well with the data while the Batchelor formula displays systematic deviations from the data. Implications of these differences for the experimental procedures to measure the energy and passive scalar dissipation rates in oceanographic flows are discussed.

The evolution of turbulent bursts: the b—ε model

1994 ◽  
Vol 5 (4) ◽  
pp. 537-557 ◽  
Author(s):  
M. Bertsch ◽  
R. Dal Passo ◽  
R. Kersner
Keyword(s):  
Partial Differential Equations ◽  
Energy Dissipation ◽  
Energy Density ◽  
Differential Equations ◽  
Dissipation Rate ◽  
Turbulent Energy ◽  
Energy Dissipation Rate ◽  
Self Similar ◽  
Similar Solutions ◽  
Semi Empirical

We study the semi-empirical b—ε model which describes the time evolution of turbulent spots in the case of equal diffusivity of the turbulent energy density b and the energy dissipation rate ε. We prove that the system of two partial differential equations possesses a solution, and that after some time this solution exhibits self-similar behaviour, provided that the system has self-similar solutions. The existence of such self-similar solutions depends upon the value of a parameter of the model.

Evaluation of Turbulent Kinetic Energy Dissipation Rate in a Free Jet Flow from PIV Measurements

2012 ◽  
Vol 7 (1) ◽  
pp. 53-69
Author(s):  
Vladimir Dulin ◽  
Yuriy Kozorezov ◽  
Dmitriy Markovich
Keyword(s):  
Energy Dissipation ◽  
Kinetic Energy ◽  
Turbulent Kinetic Energy ◽  
Dissipation Rate ◽  
Energy Dissipation Rate ◽  
Turbulent Velocity ◽  
Small Scale ◽  
Velocity Fluctuations ◽  
Piv Measurements ◽  
Free Jet

The present paper reports PIV (Particle Image Velocimetry) measurements of turbulent velocity fluctuations statistics in development region of an axisymmetric free jet (Re = 28 000). To minimize measurement uncertainty, adaptive calibration, image processing and data post-processing algorithms were utilized. On the basis of theoretical analysis and direct measurements, the paper discusses effect of PIV spatial resolution on measured statistical characteristics of turbulent fluctuations. Underestimation of the second-order moments of velocity derivatives and of the turbulent kinetic energy dissipation rate due to a finite size of PIV interrogation area and finite thickness of laser sheet was analyzed from model spectra of turbulent velocity fluctuations. The results are in a good agreement with the measured experimental data. The paper also describes performance of possible ways to account for unresolved small-scale velocity fluctuations in PIV measurements of the dissipation rate. In particular, a turbulent viscosity model can be efficiently used to account for the unresolved pulsations in a free turbulent flow

Local energy flux and subgrid-scale statistics in three-dimensional turbulence

1998 ◽  
Vol 366 ◽  
pp. 1-31 ◽  
Author(s):  
VADIM BORUE ◽  
STEVEN A. ORSZAG
Keyword(s):  
Energy Transfer ◽  
Energy Dissipation ◽  
Energy Flux ◽  
Dissipation Rate ◽  
Three Dimensional ◽  
Energy Dissipation Rate ◽  
Inertial Range ◽  
Local Energy ◽  
Subgrid Scale ◽  
Velocity Gradients

Statistical properties of the subgrid-scale stress tensor, the local energy flux and filtered velocity gradients are analysed in numerical simulations of forced three-dimensional homogeneous turbulence. High Reynolds numbers are achieved by using hyperviscous dissipation. It is found that in the inertial range the subgrid-scale stress tensor and the local energy flux allow simple parametrization based on a tensor eddy viscosity. This parametrization underlines the role that negative skewness of filtered velocity gradients plays in the local energy transfer. It is found that the local energy flux only weakly correlates with the locally averaged energy dissipation rate. This fact reflects basic difficulties of large-eddy simulations of turbulence, namely the possibility of predicting the locally averaged energy dissipation rate through inertial-range quantities such as the local energy flux is limited. Statistical properties of subgrid-scale velocity gradients are systematically studied in an attempt to reveal the mechanism of local energy transfer.

A MEMS flow velocity sensor with low kinetic energy dissipation rate

Sensor Review ◽  
2017 ◽  
Vol 37 (3) ◽  
pp. 247-256 ◽  
Author(s):  
Bian Tian ◽  
Huafeng Li ◽  
Ning Yang ◽  
Yulong Zhao ◽  
Pei Chen ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Energy Dissipation ◽  
Kinetic Energy ◽  
Flow Velocity ◽  
Dissipation Rate ◽  
Energy Dissipation Rate ◽  
Flow Sensor ◽  
Ocean Turbulence ◽  
Content Type ◽  
Turbulence Flow

Purpose It is significant to know the real-time indexes about the turbulence flow of the ocean system, which has a deep influence on ocean productivity, distribution of the ocean populations and transmission of the ocean energy, especially the measurement of turbulence flow velocity. So, it is particularly urgent to provide a high-sensitivity, low-cost and reliable fluid flow sensor for industry and consumer product application. This paper aims to design a micro fluid flow sensor with a cross beam membrane structure. The designed sensor can detect the fluid flow velocity and has a low kinetic energy dissipation rate. Design/methodology/approach In this paper, a micro fluid flow sensor with a cross beam membrane structure is designed to measure the ocean turbulence flow velocity. The design, simulation, fabrication and measurement of the designed sensor are discussed. By testing the simply packaged sensor in the fluid flow and analyzing the experiments data, the results show that the designed sensor has favorable performance. Findings The paper describes the tests of the designed sensor, and the experimental results show that the designed sensor can measure the fluid flow velocity and has a sensitivity of 11.12 mV/V/(m/s)2 and a low kinetic energy dissipation rate in the range of 10-6-10-4 W/kg. Originality/value This paper provides a micro-electro-mechanical systems fluid flow sensor used to measure ocean turbulence flow velocity.

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