Continuity equation can take the form

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UKPSC JE Mechanical 2013 Official Paper II
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  1. A1 ν1 = Α2 ν2
  2. ρ1A1 = ρ2A2
  3. ρ1A1v1 = ρ2A2v2
  4. None of these

Answer (Detailed Solution Below)

Option 3 : ρ1A1v1 = ρ2A2v2
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Explanation:

Continuity Equation

  • It is based on the principle of conservation of mass.
  • For a fluid flowing through a pipe at all the cross-section, the quantity of fluid per second is constant.
  • The continuity equation is given as \({\rho _1}{A_1}{V_1} = \;{\rho _2}{A_2}{V_2}\)

Bernoulli’s Equation

  • It is based on the principle of conservation of energy.
  • For an ideal fluid flowing through a pipe at all the cross-section, the total energy would be constant.

Conservation of momentum

  • It states that the net force acting on the fluid mass is equal to the change in momentum of flow per unit time in that direction.
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