The continuity equation is an expression of

Question

BlackTom AI · Accepted Answer

Consider the fundamental idea behind the continuity equation in fluid dynamics: it expresses that, for a control volume, mass is neither created nor destroyed as fluid flows in and out. 
Option 1: conservation of mass. This is the core concept captured by the continuity equation, since it equates the net mass flow into a region with the rate of change of mass inside, ensuring mass balance.
Option 2: conservation of energy. While energy conservation is a fundamental principle, the continuity equation specifically deals with mass continuity rather than energy fluxes or energy accounting, so this choice does not describe what the equation expresses.
Option 3: conservation of momentum. Momentum conservation leads to the momentum equations (like Euler or Navier–Stokes), which are distinct from the continuity equation; the continuity equation is not about momentum transfer but about mass change within a region.
Option 4: conservation of angular momentum. Angular momentum conservation relates to rotational aspects and torques, not directly to the mass balance equation that the continuity equation represents; thus it is not the correct description of the continuity relation.

SPHY001 Practice Quiz - Unit 12 | LA052

The continuity equation is an expression of

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