On the derivation of boundary conditions from the global principles of continuum mechanics

Title:
On the derivation of boundary conditions from the global principles of continuum mechanics
Creator:
Kleinstein, Gerald G. (Author)
Language:
English
Publisher:
American Mathematical Society
Copyright date:
2005
Type of resource:
Text
Genre:
Articles
Format:
electronic
Digital origin:
born digital
Abstract/Description:
We consider the motion of a fluid exterior to a moving rigid obstacle, or interior to a moving rigid shell. The boundary conditions, such as the no-slip condition and the condition of an isothermal wall, applied in the solution of the system of differential equations describing these motions, are currently assumed to be an approximation derived from experimental observation rather than an exact law. It is the purpose of this paper to show that the boundary conditions at a material interface between a fluid and a solid are derivable from the global principles of balance of continuum mechanics and the Clausius-Duhem inequality.
Subjects and keywords:
Navier-Stokes equations
boundary conditions
entropy condition
Applied Mathematics
Mechanics of Materials
Permanent Link:
http://hdl.handle.net/2047/d20000806

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