Which of the following physical quantities remains conserved in the continuity equation in a compressed liquid flow?

  1. Mass
  2. Energy
  3. Moment
  4. Charge.

Answer (Detailed Solution Below)

Option 1 : Mass
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CONCEPT:

  • Continuity equation: It is based on the  principle of conservation of mass, it states that mass can neither be created nor be destroyed
    • ​The continuity equation applies to all fluids, compressible and incompressible flow, Newtonian and non-Newtonian fluids.
    • It expresses the law of conservation of mass at each point in a fluid and must therefore be satisfied at every point in a flow field.

Formula :

Q = A V

Where Q = Rate of discharge through a given tube/duct, A = Area of pipe/duct, and V = Velocity of flowing liquid

  • Mass: It is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied, called as mass
  • Energy: It is defined as the ability to do work called energy.
    • Energy can be found in many things and can take different forms.
    • For example, kinetic energy is the energy of motion, and potential energy is energy due to an object's position or structure.
  • Charge: It is the physical property of matter that causes it to experience a force when placed in an electromagnetic field called charge.

EXPLANATION:

  • As per the above discussion, it is clear that the continuity equation for compressible fluid mass is always constant and conserved.

The correct option is 1

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