GLOSSARY

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LaTeX Math Inline
body( t, {\bf r} )

time and spatial variables

LaTeX Math Inline
body{\bf u}(t, {\bf r})

velocity of  Continuum Body 

LaTeX Math Inline
body\rho(t, {\bf r})

density of  Continuum Body 

LaTeX Math Inline
body\sigma(t, {\bf r})

stress tensor of Continuum Body 

LaTeX Math Inline
body{\bf g}(t, {\bf r})

sum of all body forces exerted on Continuum Body 

LaTeX Math Inline
body\frac{D}{Dt}

Material derivative of the Continuum Body motion


In Fluid Dynamics it takes form:

LaTeX Math Block
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\frac{\partial {\bf u}}{\partial t} + {\bf u} \nabla {\bf u}  = \frac{1}{\rho} \nabla {p} + {\bf g}


See also

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Physics / Mechanics / Continuum mechanics 

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