Moderate

The product of cross-sectional area of the pipe and the fluid speed at any point along the pipe:

Correct answer: A. Remains constant

  • A. Remains constant
  • B. Is zero
  • C. Exponentially increases
  • D. Exponentially decreases

Explanation

The product of cross-sectional area of the pipe and the velocity of the fluid at any given point along the pipe is constant and is called the continuity equation A1v1 = A2v2According to the continuity equation, the mass flow rate of an incompressible fluid remains constant along a streamline, which implies that the product of the cross-sectional area and the fluid speed remains constant.

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About Fluid Dynamics

Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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