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The equation of motion for laminar flow of a real fluid is:

  • A.Navier -Stokes Equation
  • B.Euler's Equation
  • C.Bernoulli's Equation
  • D.Hagen - Poiseuille Equation

Answer: A

The equation of motion for laminar flow of a real fluid is the Navier-Stokes Equation.

The Navier-Stokes equations are Newton's second law for a fluid element including the viscous forces, so they describe real (viscous) fluids. Laminar flow is where they can be solved most readily.

Euler's equation is the same law with viscosity left out, so it applies to ideal fluids, and Bernoulli's equation is its integral along a streamline for steady, ideal, incompressible flow. The Hagen-Poiseuille equation is one particular solution of Navier-Stokes, for laminar flow in a circular pipe, not the general equation of motion.

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