For the horizontal pipe, the fluid inside it is flowing horizontally then Bernoulli's equation can be written as
Correct answer: C. P + 1/2ρv2 = constant
- A. P + ρv = constant
- B. 2P + ρv2 = constant
- C. P + 1/2ρv2 = constant
- D. 2P + 2ρv2 = constant
Explanation
In a horizontal pipe, the fluid's height does not change, so the gravitational potential energy term in Bernoulli's equation is zero. Thus, the equation simplifies to P + 1/2ρv2 = constant, where P is the pressure and 1/2ρv2 is the kinetic energy per unit volume. Option A and D incorrectly modify the coefficients, and Option B improperly simplifies the velocity term, leading to inaccurate representations of the equation.
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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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