The rate of change of mass of the control volume is due to the difference in the in-coming and outgoing flows:alpVy)-dy dxdz +ду-(pdxdydz)-dx dydz+atdzápxp zp-This equation simplifies to:apa(pv;) ¸ d(pVy) , a(pV;)дуatdrazThe general form of the continuity equation that is independent of any coordinatesystem can be written as:др+V · pV = 0atШа.3.13 38. Equation IIla.3.13 for steady flow simplifies to V pV = 0. What other con-dition should exist to be able to further simplify this equation and obtainV.V =0 ?

The continuity equation is a mathematical statement of the principle of conservation of mass.…

Answered: 38. Equation III..3.13 for steady flow…

38. Equation III..3.13 for steady flow simplifies to V pV = 0. What other con- dition should exist to be able to further simplify this equation and obtain V.V = 0 ?

Elements Of Electromagnetics

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Question

The rate of change of mass of the control volume is due to the difference in the in-
coming and outgoing flows:
alpVy)
-dy dxdz +
ду
-(pdxdydz)
-dx dydz+
at
dz
ápxp zp-
This equation simplifies to:
apa(pv;) ¸ d(pVy) , a(pV;)
ду
at
dr
az
The general form of the continuity equation that is independent of any coordinate
system can be written as:
др
+V · pV = 0
at
Ша.3.13

38. Equation IIla.3.13 for steady flow simplifies to V pV = 0. What other con-
dition should exist to be able to further simplify this equation and obtain
V.V =0 ?

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