NDLI: Formation of the fine structure of laminated stratified flows

Content Provider	Springer Nature Link
Author	Baidulov, V. G. Vasil’ev, M. P.
Copyright Year	2007
Abstract	The process of formation of the fine structure of stratified fluid flows is investigated in detail on the basis of exact solutions of the initial boundary value problems constructed using the Laplace transform. The problems of formation of plane-parallel flows generated in the neighborhood of a plane or a cylinder inclined to the horizontal and moving in translation are considered as model problems. The transformation of the properties of the solutions is studied by successively going over from the model of a homogeneous to that of an inhomogeneous fluid and to the model which takes diffusion of the stratifying admixture into account. It is shown that despite of the smallness of the parameters responsible for the stratification and diffusion effects their contribution with respect to other effects (inertial and viscous forces) is determined not only by the value of the scalar parameters (Froude and Schmidt numbers) but also to a substantial degree by the dynamic factors. Due to the great difference between the scalar parameters four time zones (three zones of small times, namely, viscous, buoyancy, and diffusion times, and the large-time zone) on whose boundaries the flow model changes are distinguished in the study. It is shown that the passage to the limit as t → ∞ is nonuniform for both plane and cylindrical geometry. Transition to steady-state models leads not only to nonuniformity of the double passage to the limit but frequently also to the need to reformulate the boundary conditions.
Starting Page	921
Ending Page	936
Page Count	16
File Format	PDF
ISSN	00154628
Journal	Fluid Dynamics
Volume Number	42
Issue Number	6
e-ISSN	15738507
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	2007-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	stratified fluid viscosity diffusion flow formation boundary flow structural stability Fluids Mechanics, Fluids, Thermodynamics Mechanics Engineering Fluid Dynamics
Content Type	Text
Resource Type	Article
Subject	Fluid Flow and Transfer Processes Physics and Astronomy Mechanical Engineering

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