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Journal articles on the topic 'Turbulent Scaling Laws'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Fauve, Stéphan, and François Pétrélis. "Scaling laws of turbulent dynamos." Comptes Rendus Physique 8, no. 1 (2007): 87–92. http://dx.doi.org/10.1016/j.crhy.2006.12.011.

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2

Pinel, J., and S. Lovejoy. "Atmospheric waves as scaling, turbulent phenomena." Atmospheric Chemistry and Physics Discussions 13, no. 6 (2013): 14797–822. http://dx.doi.org/10.5194/acpd-13-14797-2013.

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Abstract. It is paradoxical that while atmospheric dynamics are highly nonlinear and turbulent that atmospheric waves are commonly modelled by linear or weakly nonlinear theories. We postulate that the laws governing atmospheric waves are on the contrary high Reynold's number (Re), emergent laws so that – in common with the emergent high Re turbulent laws – they are also constrained by scaling symmetries. We propose an effective turbulence – wave propagator which corresponds to a fractional and anisotropic extension of the classical wave equation propagator with dispersion relations similar to

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3

Pinel, J., and S. Lovejoy. "Atmospheric waves as scaling, turbulent phenomena." Atmospheric Chemistry and Physics 14, no. 7 (2014): 3195–210. http://dx.doi.org/10.5194/acp-14-3195-2014.

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Abstract. It is paradoxical that, while atmospheric dynamics are highly nonlinear and turbulent, atmospheric waves are commonly modelled by linear or weakly nonlinear theories. We postulate that the laws governing atmospheric waves are in fact high-Reynolds-number (Re), emergent laws so that – in common with the emergent high-Re turbulent laws – they are also constrained by scaling symmetries. We propose an effective turbulence–wave propagator which corresponds to a fractional and anisotropic extension of the classical wave equation propagator, with dispersion relations similar to those of ine

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4

Avsarkisov, Victor. "On the Buoyancy Subrange in Stratified Turbulence." Atmosphere 11, no. 6 (2020): 659. http://dx.doi.org/10.3390/atmos11060659.

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This study is motivated by the importance of the stratified turbulence in geophysical flows. We present a theoretical analysis of the buoyancy subrange based on the theory of strongly stratified turbulence. Some important turbulent scales and their relations are explored. Scaling constants of the buoyancy subrange scaling laws for both kinetic and potential energy spectra are derived and analyzed. It is found that these constants are functions of the horizontal Froude number F r h . For the potential energy spectrum, the scaling constant also depends on the turbulent flux coefficient of Γ .

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5

Arpaci, Vedat S., and Apoorva Agarwal. "Scaling laws of turbulent ceiling fires." Combustion and Flame 116, no. 1-2 (1999): 84–93. http://dx.doi.org/10.1016/s0010-2180(98)00037-6.

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6

Dairay, T., M. Obligado, and J. C. Vassilicos. "Non-equilibrium scaling laws in axisymmetric turbulent wakes." Journal of Fluid Mechanics 781 (September 16, 2015): 166–95. http://dx.doi.org/10.1017/jfm.2015.493.

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We present a combined direct numerical simulation and hot-wire anemometry study of an axisymmetric turbulent wake. The data lead to a revised theory of axisymmetric turbulent wakes which relies on the mean streamwise momentum and turbulent kinetic energy equations, self-similarity of the mean flow, turbulent kinetic energy, Reynolds shear stress and turbulent dissipation profiles, non-equilibrium dissipation scalings and an assumption of constant anisotropy. This theory is supported by the present data up to a distance of 100 times the wake generator’s size, which is as far as these data exten

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7

Wei, Xing. "Estimations and Scaling Laws for Stellar Magnetic Fields." Astrophysical Journal 926, no. 1 (2022): 40. http://dx.doi.org/10.3847/1538-4357/ac4755.

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Abstract In rapidly rotating turbulence (i.e., a Rossby number much less than unity), the standard mixing length theory for turbulent convection breaks down. However, the Coriolis force enters the force balance such that the magnetic field eventually depends on rotation. By simplifying the self-sustained magnetohydrodynamics dynamo equations of electrically conducting fluid motion, with the aid of the theory of isotropic nonrotating or anisotropic rotating turbulence driven by thermal convection, we make estimations and derive scaling laws for stellar magnetic fields with slow and fast rotatio

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8

Ali, Sk Zeeshan, and Subhasish Dey. "Origin of the scaling laws of sediment transport." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2197 (2017): 20160785. http://dx.doi.org/10.1098/rspa.2016.0785.

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In this paper, we discover the origin of the scaling laws of sediment transport under turbulent flow over a sediment bed, for the first time, from the perspective of the phenomenological theory of turbulence. The results reveal that for the incipient motion of sediment particles, the densimetric Froude number obeys the ‘(1 + σ )/4’ scaling law with the relative roughness (ratio of particle diameter to approach flow depth), where σ is the spectral exponent of turbulent energy spectrum. However, for the bedforms, the densimetric Froude number obeys a ‘(1 + σ )/6’ scaling law with the relative ro

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9

Carbone, V., and R. Bruno. "Cancellation exponents and multifractal scaling laws in the solar wind magnetohydrodynamic turbulence." Annales Geophysicae 14, no. 8 (1996): 777–85. http://dx.doi.org/10.1007/s00585-996-0777-0.

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Abstract. Some signed measures in turbulence are found to be sign-singular, that is their sign reverses continuously on arbitrary finer scales with a reduction of the cancellation between positive and negative contributions. The strength of the singularity is characterized by a scaling exponent κ, the cancellation exponent. In the present study by using some turbulent samples of the velocity field obtained from spacecraft measurements in the interplanetary medium, we show that sign-singularity is present everywhere in low-frequency turbulent samples. The cancellation exponent can be related to

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10

Ali, Sk Zeeshan, and Subhasish Dey. "Origin of the scaling laws of developing turbulent boundary layers." Physics of Fluids 34, no. 7 (2022): 071402. http://dx.doi.org/10.1063/5.0096255.

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In this Perspective article, we seek the origin of the scaling laws of developing turbulent boundary layers over a flat plate from the perspective of the phenomenological theory of turbulence. The scaling laws of the boundary-layer thickness and the boundary shear stress in rough and smooth boundary-layer flows are established. In a rough boundary-layer flow, the boundary-layer thickness (scaled with the boundary roughness) and the boundary shear stress (scaled with the dynamic pressure) obey the “2/(1− σ)” and “(1+ σ)/(1− σ)” scaling laws, respectively, with the streamwise distance (scaled wi

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11

Carbone, V., P. Veltri, and R. Bruno. "Solar wind low-frequency magnetohydrodynamic turbulence: extended self-similarity and scaling laws." Nonlinear Processes in Geophysics 3, no. 4 (1996): 247–61. http://dx.doi.org/10.5194/npg-3-247-1996.

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Abstract. In this paper we review some of the work done in investigating the scaling properties of Magnetohydrodynamic turbulence, by using velocity fluctuations measurements performed in the interplanetary space plasma by the Helios spacecraft. The set of scaling exponents ξq for the q-th order velocity structure functions, have been determined by using the Extended Self-Similarity hypothesis. We have found that the q-th order velocity structure function, when plotted vs. the 4-th order structure function, displays a range of self-similarity which extends over all the lengths covered by measu

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12

Gallet, Basile, and Raffaele Ferrari. "The vortex gas scaling regime of baroclinic turbulence." Proceedings of the National Academy of Sciences 117, no. 9 (2020): 4491–97. http://dx.doi.org/10.1073/pnas.1916272117.

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The mean state of the atmosphere and ocean is set through a balance between external forcing (radiation, winds, heat and freshwater fluxes) and the emergent turbulence, which transfers energy to dissipative structures. The forcing gives rise to jets in the atmosphere and currents in the ocean, which spontaneously develop turbulent eddies through the baroclinic instability. A critical step in the development of a theory of climate is to properly include the eddy-induced turbulent transport of properties like heat, moisture, and carbon. In the linear stages, baroclinic instability generates flow

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13

SERIO, C., and V. TRAMUTOLI. "SCALING LAWS IN A TURBULENT BAROCLINIC INSTABILITY." Fractals 03, no. 02 (1995): 297–314. http://dx.doi.org/10.1142/s0218348x95000242.

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This work provides an empirical investigation of scaling laws in a cloud system generated and advected by a strong baroclinic instability. An infrared satellite image with a spatial (horizontal) resolution of about 1 km has been analyzed. The presence of two sizeable and unmistakable scaling regions, one extending from 1 to 15 km and characterized by a power law with an exponent close to 1, the other stretching from 20 km up to 100 km and characterized by a power law with exponent close to 1/3, have been revealed by variogram analysis. These two scaling laws are in agreement with the idea of s

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14

Dey, Subhasish, and Sk Zeeshan Ali. "Phenomenological description of scaling laws of sediment transport." E3S Web of Conferences 40 (2018): 04001. http://dx.doi.org/10.1051/e3sconf/20184004001.

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In this paper, we seek the scaling laws of sediment transport under a turbulent flow by applying the phenomenological theory of turbulence. The results show that at the threshold of sediment motion, the densimetric Froude number follows a “(1+σ)/4” scaling law with the relative roughness number (ratio of particle size to flow depth), where σ is the spectral exponent. For the bedload transport, the bedload transport intensity follows a “3/2” and “(1+σ)/4” scaling laws with the transport stage function and the relative roughness, respectively. For the scour in a contracted stream, the dimensionl

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15

OBERLACK, MARTIN. "Similarity in non-rotating and rotating turbulent pipe flows." Journal of Fluid Mechanics 379 (January 25, 1999): 1–22. http://dx.doi.org/10.1017/s0022112098001542.

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The Lie group approach developed by Oberlack (1997) is used to derive new scaling laws for high-Reynolds-number turbulent pipe flows. The scaling laws, or, in the methodology of Lie groups, the invariant solutions, are based on the mean and fluctuation momentum equations. For their derivation no assumptions other than similarity of the Navier–Stokes equations have been introduced where the Reynolds decomposition into the mean and fluctuation quantities has been implemented. The set of solutions for the axial mean velocity includes a logarithmic scaling law, which is distinct from the usual law

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16

Layek, G. C., and Sunita. "Multitude scaling laws in axisymmetric turbulent wake." Physics of Fluids 30, no. 3 (2018): 035101. http://dx.doi.org/10.1063/1.5012841.

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17

Wang, Xiaohua, and Siva Thangam. "Development and Application of an Anisotropic Two-Equation Model for Flows With Swirl and Curvature." Journal of Applied Mechanics 73, no. 3 (2005): 397–404. http://dx.doi.org/10.1115/1.2151209.

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An anisotropic two-equation model is developed through a novel technique that involves the representation of the energy spectrum and invariance based scaling. In this approach the effect of rotation is used to modify the energy spectrum, while the influence of swirl is modeled based on scaling laws. The resulting generalized two-equation turbulence model is validated for several benchmark turbulent flows with swirl and curvature.

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18

Chamecki, Marcelo, Nelson L. Dias, Scott T. Salesky, and Ying Pan. "Scaling Laws for the Longitudinal Structure Function in the Atmospheric Surface Layer." Journal of the Atmospheric Sciences 74, no. 4 (2017): 1127–47. http://dx.doi.org/10.1175/jas-d-16-0228.1.

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Abstract Scaling laws for the longitudinal structure function in the atmospheric surface layer (ASL) are studied using dimensional analysis and matched asymptotics. Theoretical predictions show that the logarithmic scaling for the scales larger than those of the inertial subrange recently proposed for neutral wall-bounded flows also holds for the shear-dominated ASL composed of weakly unstable, neutral, and all stable conditions (as long as continuous turbulence exists). A 2/3 power law is obtained for buoyancy-dominated ASLs. Data from the Advection Horizontal Array Turbulence Study (AHATS) f

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19

Ballesteros-Paredes, Javier. "Gravity, turbulence and the scaling “laws” in molecular clouds." Proceedings of the International Astronomical Union 11, A29B (2015): 716. http://dx.doi.org/10.1017/s1743921316006499.

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AbstractThe so-called Larson (1981) scaling laws found empirically in molecular clouds have been generally interpreted as evidence that the clouds are turbulent and fractal. In the present contribution we discussed how recent observations and models of cloud formation suggest that: (a)these relations are the result of strong observational biases due to the cloud definition itself: since the filling factor of the dense structures is small, by thresholding the column density the computed mean density between clouds is nearly constant, and nearly the same as the threshold (Ballesteros-Paredes et

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20

Bachman, Scott D., and John R. Taylor. "Numerical Simulations of the Equilibrium between Eddy-Induced Restratification and Vertical Mixing." Journal of Physical Oceanography 46, no. 3 (2016): 919–35. http://dx.doi.org/10.1175/jpo-d-15-0110.1.

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AbstractSubmesoscale dynamics are hypothesized to play a leading-order role in setting the stratification of the mixed layer via the interaction of submesoscale eddies and surface forcing. Previous studies of such interactions have generally focused on the time-evolving characteristics of submesoscale turbulence, such as the spindown of a baroclinically unstable front. This paper focuses instead on the equilibrium dynamics of the oceanic mixed layer, where forcing and dissipation are in balance, through a combination of scaling analysis and numerical simulations. The steady dynamics are well d

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21

Barenblatt, G. I., A. J. Chorin, and V. M. Prostokishin. "Scaling Laws for Fully Developed Turbulent Flow in Pipes." Applied Mechanics Reviews 50, no. 7 (1997): 413–29. http://dx.doi.org/10.1115/1.3101726.

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Mathematical and experimental evidence is presented to the effect that the velocity profile in the intermediate region of turbulent shear flow in a pipe obeys a Reynolds-number dependent scaling (power) law rather than the widely believed von Ka´rma´n-Prandtl universal logarithmic law. In particular, it is shown that similarity theory and the Izakson-Millikan-von Mises overlap argument support the scaling law at least as much as they support the logarithmic law, while the experimental evidence overwhelmingly supports the scaling law. This review article includes 39 references.

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22

She, Zhen‐Su. "On the scaling laws of thermal turbulent convection." Physics of Fluids A: Fluid Dynamics 1, no. 6 (1989): 911–13. http://dx.doi.org/10.1063/1.857401.

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23

Flandoli, F., M. Gubinelli, M. Hairer, and M. Romito. "Rigorous Remarks about Scaling Laws in Turbulent Fluids." Communications in Mathematical Physics 278, no. 1 (2007): 1–29. http://dx.doi.org/10.1007/s00220-007-0398-9.

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24

Wu, Zhao, Tamer A. Zaki, and Charles Meneveau. "High-Reynolds-number fractal signature of nascent turbulence during transition." Proceedings of the National Academy of Sciences 117, no. 7 (2020): 3461–68. http://dx.doi.org/10.1073/pnas.1916636117.

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Transition from laminar to turbulent flow occurring over a smooth surface is a particularly important route to chaos in fluid dynamics. It often occurs via sporadic inception of spatially localized patches (spots) of turbulence that grow and merge downstream to become the fully turbulent boundary layer. A long-standing question has been whether these incipient spots already contain properties of high-Reynolds-number, developed turbulence. In this study, the question is posed for geometric scaling properties of the interface separating turbulence within the spots from the outer flow. For high-R

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25

Sadeghi, H., M. Oberlack, and M. Gauding. "On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation." Journal of Fluid Mechanics 854 (September 6, 2018): 233–60. http://dx.doi.org/10.1017/jfm.2018.625.

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A temporally evolving turbulent plane jet is studied both by direct numerical simulation (DNS) and Lie symmetry analysis. The DNS is based on a high-order scheme to solve the Navier–Stokes equations for an incompressible fluid. Computations were conducted at Reynolds number $\mathit{Re}_{0}=8000$, where $\mathit{Re}_{0}$ is defined based on the initial jet thickness, $\unicode[STIX]{x1D6FF}_{0.5}(0)$, and the initial centreline velocity, $\overline{U}_{1}(0)$. A symmetry approach, known as the Lie group, is used to find symmetry transformations, and, in turn, group invariant solutions, which a

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26

Panton, Ronald L. "Scaling Turbulent Wall Layers." Journal of Fluids Engineering 112, no. 4 (1990): 425–32. http://dx.doi.org/10.1115/1.2909420.

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The two-layer concept is a framework for interpreting events and constructing mathematical models of turbulent wall layers. In this paper an asymptotic theory is constructed employing the idea that the interaction between the layers is the most important aspect. It is shown that the matching process for the layers can be used to define a characteristic scale, u*, and to produce an equation that relates u* to the known parameters; U∞, v, h, e, and dp/dx. At infinite Reynolds number the scale u* is equal to uτ, the friction velocity, but they are distinct at moderate Reynolds numbers. The theory

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27

Giacomin, M., and P. Ricci. "Turbulent transport regimes in the tokamak boundary and operational limits." Physics of Plasmas 29, no. 6 (2022): 062303. http://dx.doi.org/10.1063/5.0090541.

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Two-fluid, three-dimensional, flux-driven, global, electromagnetic turbulence simulations carried out by using the GBS (Global Braginskii Solver) code are used to identify the main parameters controlling turbulent transport in the tokamak boundary and to delineate an electromagnetic phase space of edge turbulence. Four turbulent transport regimes are identified: (i) a regime of fully developed turbulence appearing at intermediate values of collisionality and β, with turbulence driven by resistive ballooning modes, related to the L-mode operation of tokamaks, (ii) a regime of reduced turbulent

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28

Keith, W. L., D. A. Hurdis, and B. M. Abraham. "A Comparison of Turbulent Boundary Layer Wall-Pressure Spectra." Journal of Fluids Engineering 114, no. 3 (1992): 338–47. http://dx.doi.org/10.1115/1.2910035.

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Turbulent boundary layer wall-pressure spectra from various experimental investigations and a recent numerical simulation are presented. The spectra are compared in nondimensional form with three commonly used scaling laws. Attenuations resulting from inadequate sensor spatial resolution are shown to be of primary importance at the higher frequencies. The dependence of the scaling laws on momentum thickness Reynolds number is discussed. The ratio of the outer to the inner boundary layer length scale is shown to provide insight into the observed trends in the spectra.

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29

Gordienko, S. N., and S. S. Moiseev. "Turbulence: mechanics and structure of anomalous scaling." Nonlinear Processes in Geophysics 8, no. 4/5 (2001): 197–200. http://dx.doi.org/10.5194/npg-8-197-2001.

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Abstract. As the finite correlation time of a force driving turbulence is taken into account, a new, dimensionless parameter occurs in the theory of turbulence. This new parameter is responsible for two different mechanisms of formation of anomalous spectra. The first mechanism is related to the change of a governing parameter, which defines the spectrum of turbulent fluctuation. The second mechanism is associated with spontaneous formation of characteristic scales that differ parametrically from the scale of the external force. The last mechanism can explain the intermittent structure of turb

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30

Ferraro, Domenico, Sergio Servidio, Vincenzo Carbone, Subhasish Dey, and Roberto Gaudio. "Turbulence laws in natural bed flows." Journal of Fluid Mechanics 798 (June 6, 2016): 540–71. http://dx.doi.org/10.1017/jfm.2016.334.

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Characterization of turbulence in natural bed streams is one of the most fascinating problems of fluid dynamics. In this study, a statistical description of turbulence in a natural pebble bed flow is presented applying the laws of turbulence. A laboratory experiment was conducted to measure the three-dimensional instantaneous velocity components in a flow over heterogeneous coarse sediments that simulated a natural bed. The analysis reveals that the spectra (in Fourier space) show a power-law scaling, $E(k)\sim k^{{\it\alpha}}$, suggesting the presence of inertial range turbulence. The exponen

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31

Dai, Y., J. J. Xiang, and M. D. Ding. "Generalized Coronal Loop Scaling Laws and Their Implication for Turbulence in Solar Active Region Loops." Astrophysical Journal 965, no. 1 (2024): 2. http://dx.doi.org/10.3847/1538-4357/ad3031.

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Abstract Recent coronal loop modeling has emphasized the importance of combining both Coulomb collisions and turbulent scattering to characterize field-aligned thermal conduction, which invokes a hybrid loop model. In this work, we generalize the hybrid model by incorporating a nonuniform heating and cross section that are both formulated by a power-law function of temperature. Based on the hybrid model solutions, we construct scaling laws that relate loop-top temperature (T a ) and heating rate (H a ) to other loop parameters. It is found that the loop-top properties for turbulent loops are a

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32

Ottaviani, M., and G. Manfredi. "Numerical assessment of ion turbulent thermal transport scaling laws." Nuclear Fusion 41, no. 5 (2001): 637–43. http://dx.doi.org/10.1088/0029-5515/41/5/318.

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Chakraborty, Sagar. "On scaling laws in turbulent magnetohydrodynamic Rayleigh–Benard convection." Physica D: Nonlinear Phenomena 237, no. 24 (2008): 3233–36. http://dx.doi.org/10.1016/j.physd.2008.08.001.

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Oberlack, Martin, and Silke Guenther. "Shear-free turbulent diffusion—classical and new scaling laws." Fluid Dynamics Research 33, no. 5-6 (2003): 453–76. http://dx.doi.org/10.1016/j.fluiddyn.2003.08.004.

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CARAZZO, G., E. KAMINSKI, and S. TAIT. "The rise and fall of turbulent fountains: a new model for improved quantitative predictions." Journal of Fluid Mechanics 657 (June 10, 2010): 265–84. http://dx.doi.org/10.1017/s002211201000145x.

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Turbulent fountains are of major interest for many natural phenomena and industrial applications, and can be considered as one of the canonical examples of turbulent flows. They have been the object of extensive experimental and theoretical studies that yielded scaling laws describing the behaviour of the fountains as a function of source conditions (namely their Reynolds and Froude numbers). However, although such scaling laws provide a clear understanding of the basic dynamics of the turbulent fountains, they usually rely on more or lessad hocdimensionless proportionality constants that are

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36

Pikeroen, Quentin, Amaury Barral, Guillaume Costa, and Bérengère Dubrulle. "Log-Lattices for Atmospheric Flows." Atmosphere 14, no. 11 (2023): 1690. http://dx.doi.org/10.3390/atmos14111690.

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We discuss how the projection of geophysical equations of motion onto an exponential grid allows the determination of realistic values of parameters at a moderate cost. This allows us to perform many simulations over a wide range of parameters, thereby leading to general scaling laws of transport efficiency that can then be used to parametrize the turbulent transport in general climate models for Earth or other planets. We illustrate this process using the equation describing heat transport in a dry atmosphere to obtain the scaling laws for the onset of convection as a function of rotation. We

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Lepot, Simon, Sébastien Aumaître, and Basile Gallet. "Radiative heating achieves the ultimate regime of thermal convection." Proceedings of the National Academy of Sciences 115, no. 36 (2018): 8937–41. http://dx.doi.org/10.1073/pnas.1806823115.

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The absorption of light or radiation drives turbulent convection inside stars, supernovae, frozen lakes, and Earth’s mantle. In these contexts, the goal of laboratory and numerical studies is to determine the relation between the internal temperature gradients and the heat flux transported by the turbulent flow. This is the constitutive law of turbulent convection, to be input into large-scale models of such natural flows. However, in contrast with the radiative heating of natural flows, laboratory experiments have focused on convection driven by heating and cooling plates; the heat transport

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38

Moarref, Rashad, Ati S. Sharma, Joel A. Tropp, and Beverley J. McKeon. "Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels." Journal of Fluid Mechanics 734 (October 9, 2013): 275–316. http://dx.doi.org/10.1017/jfm.2013.457.

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AbstractWe study the Reynolds-number scaling and the geometric self-similarity of a gain-based, low-rank approximation to turbulent channel flows, determined by the resolvent formulation of McKeon & Sharma (J. Fluid Mech., vol. 658, 2010, pp. 336–382), in order to obtain a description of the streamwise turbulence intensity from direct consideration of the Navier–Stokes equations. Under this formulation, the velocity field is decomposed into propagating waves (with single streamwise and spanwise wavelengths and wave speed) whose wall-normal shapes are determined from the principal singular

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39

Paradisi, P., R. Cesari, A. Donateo, D. Contini, and P. Allegrini. "Scaling laws of diffusion and time intermittency generated by coherent structures in atmospheric turbulence." Nonlinear Processes in Geophysics 19, no. 1 (2012): 113–26. http://dx.doi.org/10.5194/npg-19-113-2012.

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Abstract. We investigate the time intermittency of turbulent transport associated with the birth-death of self-organized coherent structures in the atmospheric boundary layer. We apply a threshold analysis on the increments of turbulent fluctuations to extract sequences of rapid acceleration events, which is a marker of the transition between self-organized structures. The inter-event time distributions show a power-law decay ψ(τ) ~ 1/τμ, with a strong dependence of the power-law index μ on the threshold. A recently developed method based on the application of event-driven walking rules to gen

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40

Martinez-Sanchis, Daniel, Andrej Sternin, Sagnik Banik, Oskar Haidn, and Martin Tajmar. "Subgrid Turbulent Flux Models for Large Eddy Simulations of Diffusion Flames in Space Propulsion." Fluids 9, no. 6 (2024): 124. http://dx.doi.org/10.3390/fluids9060124.

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Subgrid scale models for unresolved turbulent fluxes are investigated, with a focus on combustion for space propulsion applications. An extension to the gradient model is proposed, introducing a dependency on the local burning regimen. The dynamic behaviors of the model’s coefficients are investigated, and scaling laws are studied. The discussed models are validated using a DNS database of a high-pressure, turbulent, fuel-rich methane–oxygen diffusion flame. The operating point and turbulence characteristics are selected to resemble those of modern combustors for space propulsion applications

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41

Wunsch, Scott. "Scaling laws for layer formation in stably-stratified turbulent flows." Physics of Fluids 12, no. 3 (2000): 672–75. http://dx.doi.org/10.1063/1.870272.

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42

Layek, G. C., and Sunita. "Non-Kolmogorov scaling and dissipation laws in planar turbulent plume." Physics of Fluids 30, no. 11 (2018): 115105. http://dx.doi.org/10.1063/1.5048237.

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43

Song, Hao, and Penger Tong. "Scaling laws in turbulent Rayleigh-Bénard convection under different geometry." EPL (Europhysics Letters) 90, no. 4 (2010): 44001. http://dx.doi.org/10.1209/0295-5075/90/44001.

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44

Avsarkisov, V., M. Oberlack, and S. Hoyas. "New scaling laws for turbulent Poiseuille flow with wall transpiration." Journal of Fluid Mechanics 746 (March 28, 2014): 99–122. http://dx.doi.org/10.1017/jfm.2014.98.

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AbstractA fully developed, turbulent Poiseuille flow with wall transpiration, i.e. uniform blowing and suction on the lower and upper walls correspondingly, is investigated by both direct numerical simulation (DNS) of the three-dimensional, incompressible Navier–Stokes equations and Lie symmetry analysis. The latter is used to find symmetry transformations and in turn to derive invariant solutions of the set of two- and multi-point correlation equations. We show that the transpiration velocity is a symmetry breaking which implies a logarithmic scaling law in the core of the channel. DNS valida

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Bakunin, O. G., and T. J. Schep. "Multi-scale percolation and scaling laws for anisotropic turbulent diffusion." Physics Letters A 322, no. 1-2 (2004): 105–10. http://dx.doi.org/10.1016/j.physleta.2003.10.082.

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Plouseau-Guédé, Xavier, Alain Berry, Laurent Maxit, and Valentin Meyer. "Similitude laws for the vibroacoustic response of fluid-loaded plates under a turbulent boundary layer excitation." Journal of the Acoustical Society of America 157, no. 1 (2025): 595–605. https://doi.org/10.1121/10.0034868.

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The theory of similitudes provides simple laws by which the response of one system (usually of small size) can be used to predict the response of another system (usually larger). This paper establishes the exact conditions and laws of similitude for the vibrations and acoustic radiation of a panel immersed in a heavy fluid and excited by a turbulent boundary layer. Previous work on vibroacoustic similitude had not considered the problem of a panel radiating in heavy fluid, for which the radiation impedance of the structure must be scaled. The scaling parameters studied here are the dimensions

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Castro, Ian P. "Dissipative distinctions." Journal of Fluid Mechanics 788 (December 22, 2015): 1–4. http://dx.doi.org/10.1017/jfm.2015.630.

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There have been numerous studies concerning the possibility of self-similar scaling laws in fully developed turbulent shear flows, driven over the past half-century or so by the early seminal work of Townsend (1956, The Structure of Turbulent Shear Flow. Cambridge University Press). His and nearly all subsequent analyses depend crucially on a hypothesis about the nature of the dissipation, ${\it\epsilon}$, of turbulence kinetic energy, $k$. It has usually been assumed (sometimes implicitly) that this is governed by the famous Kolmogorov relation ${\it\epsilon}=C_{{\it\epsilon}}k^{3/2}/L$, wher

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Keitzl, T., J. P. Mellado, and D. Notz. "Impact of Thermally Driven Turbulence on the Bottom Melting of Ice." Journal of Physical Oceanography 46, no. 4 (2016): 1171–87. http://dx.doi.org/10.1175/jpo-d-15-0126.1.

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AbstractDirect numerical simulation and laboratory experiments are used to investigate turbulent convection beneath a horizontal ice–water interface. Scaling laws are derived that quantify the dependence of the melt rate of the ice on the far-field temperature of the water under purely thermally driven conditions. The scaling laws, the simulations, and the laboratory experiments consistently yield that the melt rate increases by two orders of magnitude, from ⋍101 to ⋍103 mm day−1, as the far-field temperature increases from 4° to 8°C. The strong temperature dependence of the melt rate is expla

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Rincon, François. "Theories of convection and the spectrum of turbulence in the solar photosphere." Proceedings of the International Astronomical Union 2, S239 (2006): 58–63. http://dx.doi.org/10.1017/s1743921307000117.

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AbstractClassical theories of turbulence do not describe accurately inertial range scaling laws in turbulent convection and notably fail to model the shape of the turbulent spectrum of solar photospheric convection. To understand these discrepancies, a detailed study of scale-by-scale budgets in turbulent Rayleigh-Bénard convection is presented, with particular emphasis placed on anisotropy and inhomogeneity. A generalized Kolmogorov equation applying to convection is derived and its various terms are computed using numerical simulations of turbulent Boussinesq convection. The analysis of the

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Kuhl, Allen, David Grote, and John Bell. "Scaling Turbulent Combustion Fields in Explosions." Applied Sciences 10, no. 23 (2020): 8577. http://dx.doi.org/10.3390/app10238577.

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We considered the topic of explosions from spherical high-explosive (HE) charges. We studied how the turbulent combustion fields scale. On the basis of theories of dimensional analysis by Bridgman and similarity theories of Sedov and Barenblatt, we found that all fields scaled with the explosion length scale r0. This included the blast wave, the mean and root mean squared (RMS) profiles of thermodynamic variables, combustion variables, velocities, vorticity, and turbulent Reynolds stresses. This was a consequence of the formulation of the problem and our numerical method, which both satisfied

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