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Other forms of the Continuity Equation

If the fluid is assumed to be incompressible (Note: Normally it implies that the volume is incompressible) then the qontinuity equation become in recatngular coordinates:

equation45

or

displaymath2227

Note: this equation is good for unsteady incompressible flows and the density tex2html_wrap_inline2205 may be constant or may not be constant. Subtracting the above equation from the full equation we have

equation55

Cylindrical Coordinates:

equation64

Spherical Coordinates:

equation76



Yousef Haik
Sun Sep 1 16:31:13 EDT 1996