Governing equations on integral form: Difference between revisions

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==== The Continuity Equation ====
==== The Continuity Equation ====


{{quote|Mass can be neither created nor destroyed, which implies that mass is conserved}}
{{QuoteBox|Mass can be neither created nor destroyed, which implies that mass is conserved}}


The net massflow into the control volume <math>\Omega</math> in Fig. \ref{fig:generic:cv} is obtained by integrating mass flux over the control volume surface <math>\partial \Omega</math>
The net massflow into the control volume <math>\Omega</math> in Fig. \ref{fig:generic:cv} is obtained by integrating mass flux over the control volume surface <math>\partial \Omega</math>
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==== The Momentum Equation ====
==== The Momentum Equation ====


{{quote|The time rate of change of momentum of a body equals the net force exerted on it}}
{{QuoteBox|The time rate of change of momentum of a body equals the net force exerted on it}}


{{NumEqn|<math>
{{NumEqn|<math>
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==== The Energy Equation ====
==== The Energy Equation ====


{{quote|Energy can be neither created nor destroyed; it can only change in form}}
{{QuoteBox|Energy can be neither created nor destroyed; it can only change in form}}


<math display="block">
<math display="block">