Handbook of Turbulence (Volume 1)

Frost, W.; Moulden, T. H.; Libby, Paul A.

doi:10.1115/1.3424521

Cited by 8 publications

(13 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These parameters are n 0 , r 1 , |a max |, K B , b, s, and z. The parameter z was set equal to s − 1 in order to maintain consistent units (see [3], [4], [7], and [13]). The selected statistics of the particle size distribution were average diameter, diameter variance, population skewness, population kurtosis, uniformity coefficient, and the coefficient of concavity.…”

Section: Modeling Analysis Resultsmentioning

confidence: 99%

“…Substituting [8], [10], [11], and [12] into [7] produces the final dimensionless population balance equation for orthokinetic coagulation…”

Section: Methods Of Investigationmentioning

confidence: 99%

“…Eddy velocity was further estimated by Levich to be a function of the energy dissipation ε and the length scale L. The model of Saffman and Turner and that of Levich were based on Taylor's (5) statistical analysis of homogeneous, isotropic turbulence. Isotropic turbulent flow has statistics invariant with respect to a rotation of coordinate axes or a reflection of the axes (6)(7)(8). The assumption of homogeneity and isotropy implies that every point in the fluid domain and thus every particle contained in the flow are acted upon by the same magnitude of the governing fluid flow parameter.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling Orthokinetic Coagulation in Spatially Varying Laminar Flow

Kramer

Clark

2000

Journal of Colloid and Interface Science

View full text Add to dashboard Cite

Section: Modeling Analysis Resultsmentioning

confidence: 99%

“…Substituting [8], [10], [11], and [12] into [7] produces the final dimensionless population balance equation for orthokinetic coagulation…”

Section: Methods Of Investigationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling Orthokinetic Coagulation in Spatially Varying Laminar Flow

Kramer

Clark

2000

Journal of Colloid and Interface Science

View full text Add to dashboard Cite

“…Laminar flows are vortex; the phenomenon of viscosity is manifested in them at the molecular level. In this case, the mathematical model of shear stresses are a function of the relative shear strain rates of the smallest liquid particles and are expressed by Newton's formula (2) [11].…”

Section: Modelingmentioning

confidence: 99%

Solution of hydrodynamic problems by complex modeling methods

Lagunov

2023

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Pollution of the environment, especially the marine environment, is currently a rather serious problem. The impact of noise on the fragile biota of the Arctic with an increase in shipping in this region is quite strong. The manufacture of new low-noise devices at an enterprise engaged in the creation of surface and underwater vessels is a very costly process. Computer simulation systems can reduce enterprise costs. The author proposes a system for complex modeling of low-noise devices that could predict the approximate behaviour of a viscous incompressible fluid (gas) in the form of vorticity per single object, described by Navier-Stokes differential equations for the case of fluid motion in a limited space. The system includes: a computer model in the well-established FlowSimulation system and a machine learning model. According to the results of the experimental study, the author found that the model from FlowSimulation has a clearer picture, but for FlowSimulation this is the limit of possibilities, and for the machine learning system there is the possibility of further development to improve the image. In the future, the author intends to continue experiments on training the model in order to obtain a better image.

show abstract

“…One of the factors that complicates this research is the exceptional variety of types of turbulent motions. The investigation of correlation effects and correlation functions, which are fairly universal tools, plays an important role [1][2][3][4][5]. The number of scientific publications in this field has been growing constantly.…”

Section: Introductionmentioning

confidence: 99%

Correlation effects and turbulent diffusion scalings

Bakunin¹

2004

Rep. Prog. Phys.

View full text Add to dashboard Cite

A significant deviation of turbulent transport from conventional diffusion necessitates a search for new types of equations and scalings. Long-range correlations are responsible for anomalous transport. An investigation of correlation effects and correlation functions, which are fairly universal tools, plays an important role. This review deals with the methods of direct calculations, diffusive approximation, and the scaling representation of correlation effects. In this paper, we consider different methods for constructing transport equations, ranging from those in the quasi-linear approximation to those with fractional derivatives. The topics to be discussed include renormalized quasi-linear equations, Levy-Khintchine distributions, and continuous time random walk. A variety of instabilities leads to the development of different turbulence types. This variety of forms requires not only special description methods, but also an analysis of the general mechanisms. One such mechanism is percolation transport. Its description is based on the ideas of long-range correlations, borrowed from the theory of phase transitions, and fractality. A detailed analysis of the more important results obtained in this field is presented in this paper. We will focus on scaling arguments that play an important role in obtaining estimates of transport effects.

show abstract

Handbook of Turbulence (Volume 1)

Cited by 8 publications

References 0 publications

Modeling Orthokinetic Coagulation in Spatially Varying Laminar Flow

Modeling Orthokinetic Coagulation in Spatially Varying Laminar Flow

Solution of hydrodynamic problems by complex modeling methods

Correlation effects and turbulent diffusion scalings

Contact Info

Product

Resources

About