Preliminaries_and_Hydrostatics_web

Preliminaries_and_Hydrostatics_web - ENU 4133 Preliminaries...

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Unformatted text preview: ENU 4133 Preliminaries and Hydrostatics January 13, 2010 Preliminaries (Chapter 1) I Continuum assumption I Eulerian & Lagrangian descriptions I Fluid mechanics notation for ~ v I Density, specific weight, specific gravity Continuum Assumption (Sec. 1-4, 1-5) In TH, it is usual to neglect the molecular behavior of fluids in favor of a continuum approach. = lim V V ? m V (1) For V = V ? = (1 m ) 3 , there are 30 million air molecules or 1 billion water molecules. Assumption: ( ~ r ) is a piecewise smooth function (may be discontinuous at material boundaries). Similar assumptions for other properties. Eulerian vs. Lagrangian Eulerian: compute parameters, e.g. , pressure, as: p = p ( x , y , z , t ) (2) Fixed observer in time Lagrangian: compute parameters as p ( t ), following individual fluid particles (actual molecules or small volumes). Except for special cases (sprays, bubbles, droplets, etc.), the Eulerian description is more convenient. Velocity Vector Notation...
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Preliminaries_and_Hydrostatics_web - ENU 4133 Preliminaries...

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