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Equation of continuity results from the principal of conservation of _____.
 
  • a)
    Energy
  • b)
    Flow
  • c)
    Mass
  • d)
    Momentum
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Equation of continuity results from the principal of conservation of _...
The law of conservation of mass states that mass can neither be created nor be destroyed.
Rate at which mass enters the region = Rate at which mass leaves the region + Rate of accumulation of mass in the region
The above statement can be expressed analytically in terms of velocity and density field of a flow and the resulting expression is known as the equation of continuity or the continuity equation.
\(\begin{array}{l} \frac{{\partial \rho }}{{\partial t}} + \frac{\partial }{{\partial x}}\left( {\rho u} \right) + \frac{\partial }{{\partial y}}\left( {\rho v} \right) + \frac{\partial }{{\partial z}}\left( {\rho w} \right) = 0\\ \frac{{\partial \rho }}{{\partial t}} + .\left( {{\rm{\rho \vec V}}} \right) = 0 \end{array}\)
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Equation of continuity results from the principal of conservation of _____.a)Energyb)Flowc)Massd)MomentumCorrect answer is option 'C'. Can you explain this answer?
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