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Diffusion and convection in a branching tube

Computers and Biomedical Research, 1983
Transport by diffusion and convection is described in a branching tube using a stochastic formulation in a multiple pattern network. The concentration curves are compared with the solutions of the classical one-dimensional transport equation for each branch, coupled with a constraint condition at the branch point.
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Unsteady free and forced convective diffusion

International Journal of Engineering Science, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazumder, B. S., Dandapat, B. S.
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Anisotropic meshes and streamline‐diffusion stabilization for convection–diffusion problems

Communications in Numerical Methods in Engineering, 2005
AbstractWe study a convection‐diffusion problem with dominant convection. Anisotropic streamline aligned meshes with high aspect ratios are recommended to resolve characteristic interior and boundary layers and to achieve high accuracy. We address the question of how the stabilization parameter in the streamline‐diffusion FEM (SDFEM) and the Galerkin ...
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Multi-component diffusion and penetrative convection

Fluid Dynamics Research, 1997
Abstract The problem is the investigation of penetrative thermal convection in a three constituent fluid. The stability criteria are derived by a Chebyshev tau method. Very interesting neutral curves are derived including non-perfect “heart shaped” oscillatory curves affording a variety of complex dynamical behaviour, and an isolatory curve allowing ...
B Straughan, D W Walker
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Rehomogenization - Diffusion and convection in microgravity

36th AIAA Aerospace Sciences Meeting and Exhibit, 1998
This paper* is concerned with the determination of the rate of rehomogenization of the liquid portion of a Bi-Sn alloy in a Bridgman ampoule in microgravity, and is divided into two parts. In the first, the rehomogenization in an ampoule at rest in the microgravity environment has been examined. The calculations show that the rehomogenization times are
P. Chen   +7 more
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Sediment Convection‐Diffusion and Bedform Length

Journal of Hydraulic Engineering, 1987
In connection with the mechanics of ripples and dunes, the governing equations of convection‐diffusion of suspended sediment in two‐dimensional flow fields over ripples or dunes are solved by the finite‐element method. The role of suspended sediment in determining the steady bedform length is theoretically investigated.
Muhammad I. Haque, Khalid Mahmood
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Sugar Fingers and Double-Diffusive Convection

Journal of Chemical Education, 2009
Vertical convection cells ("fingers") develop at the interface between a horizontal layer of sugar solution above a slightly denser solution of ordinary table salt. These fingers occur primarily because the molecular diffusivity of sugar is less than that of salt. We describe a two- or three-hour laboratory experiment in which the contributions of salt
Heavers, Richard M., Colucci, Liza A.
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Some exact solutions of convection‐diffusion and diffusion equations

Water Resources Research, 1994
We examine solutions of the convection‐diffusion equation during steady radial flow in two and three dimensions with diffusivity proportional to Pn, with P the Péclet number. In two dimensions, closed‐form solutions of the Laplace‐transformed equation occur only for n = 1 and n = 2; and in three dimensions only for n = 5/4 and n = 2. The inversions for
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False diffusion in convection and diffusion with chemical reaction

International Journal of Heat and Mass Transfer, 1983
The effect of the so-called ''false diffusion'' in problems involving diffusion and convection is discussed. The mathematical equation of the problem involves a linear diffusion equation with convection which is given in the form \(C_ t+uC_ x=DC_{xx}-kC\).
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Diffusion controlled and convection dominated vaporization

ICALEO '97: Proceedings of the Laser Materials Processing Conference, 1997
The material removal by an intense power source is modeled. The vaporization rate is governed by the heat transfer within the substrate. Both convection dominated and diffusion controlled vapor removal are examined. Langmuir’s model for vapor removal rate is also studied.
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