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

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 cu...

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spelling ndltd-NEU--neu-3308832016-04-25T16:14:14ZOn the derivation of boundary conditions from the global principles of continuum mechanicsWe 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.http://hdl.handle.net/2047/d20000806
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sources NDLTD
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.
title On the derivation of boundary conditions from the global principles of continuum mechanics
spellingShingle On the derivation of boundary conditions from the global principles of continuum mechanics
title_short On the derivation of boundary conditions from the global principles of continuum mechanics
title_full On the derivation of boundary conditions from the global principles of continuum mechanics
title_fullStr On the derivation of boundary conditions from the global principles of continuum mechanics
title_full_unstemmed On the derivation of boundary conditions from the global principles of continuum mechanics
title_sort on the derivation of boundary conditions from the global principles of continuum mechanics
publishDate
url http://hdl.handle.net/2047/d20000806
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