Journal ArticleDOI
A Lagrangian Stochastic Model for the Dispersion and Deposition of Brownian Particles.
Andy M. Reynolds
- Vol. 217, Iss: 2, pp 348-356
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TLDR
A Lagrangian stochastic model for the dispersion and deposition of submicron-size particles is formulated and validated, which predicts, in close accord with experiment and the results of direct numerical simulations, that the nondimensional particle deposition velocity K(+) is overpredicted by several orders of magnitude.Abstract:
A Lagrangian stochastic model for the dispersion and deposition of submicron-size particles is formulated and validated. The model satisfies the well-mixed condition, incorporates molecular diffusivity, and accounts for the effects of Reynolds number upon Lagrangian particle statistics. Reynolds number effects are found to be significant in the viscous sublayer and the buffer zone of a turbulent shear flow. The effects are due almost entirely to the change in the Lagrangian integral time scale. Sawford's correction to first-order Lagrangian stochastic models for the effects of Reynolds number is found to be appropriate for inhomogeneous turbulence even when the Taylor–Reynolds number R λ ∼ O(0.1). The model predicts, in close accord with experiment and the results of direct numerical simulations, that the nondimensional particle deposition velocity K + = 0.06Sc −2/3 , where Sc is the Schmidt number. When Reynolds number effects are neglected, K + is overpredicted by several orders of magnitude.read more
Citations
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Stochastic Partial Differential Equation-Based Model for Suspended Sediment Transport in Surface Water Flows
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References
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Journal ArticleDOI
Turbulence statistics in fully developed channel flow at low reynolds number
TL;DR: In this article, a direct numerical simulation of a turbulent channel flow is performed, where the unsteady Navier-Stokes equations are solved numerically at a Reynolds number of 3300, based on the mean centerline velocity and channel half-width, with about 4 million grid points.
Journal ArticleDOI
Criteria for the selection of stochastic models of particle trajectories in turbulent flows
TL;DR: In this paper, the relationships between the various criteria are examined for a very general class of models and it is shown that most of the criteria are equivalent and also how a model can be designed to satisfy these criteria exactly and to be consistent with inertial-subrange theory.
The Structure of Turbulence in Fully Developed Pipe Flow
TL;DR: In this paper, a hot-wire anemometer was used to measure the turbulent flow in a 10-inch pipe at speeds of approximately 10 and 100 feet per second, and the results include relevant mean and statistical quantities, such as Reynolds stresses, triple correlations, turbulent dissipation, and energy spectra.
Journal ArticleDOI
Lagrangian statistics from direct numerical simulations of isotropic turbulence
Pui-Kuen Yeung,Stephen B. Pope +1 more
TL;DR: In this paper, a comprehensive study of the Lagrangian statistics of velocity, acceleration, dissipation and related quantities, in isotropic turbulence, is reported, including velocity and acceleration autocorrelations and spectra; probability density functions (p.d.'s) and moments of Lagrangians velocity increments; and other velocity-gradient invariants.
Journal ArticleDOI
A theory of particle deposition in turbulent pipe flow
John Young,Angus Leeming +1 more
TL;DR: In this paper, a theory of particle deposition based formally on the conservation equations of particle mass and momentum is described, and a simple model for the turbophoretic force is used to calculate deposition from fully developed turbulent pipe flow.
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