Left Right

What is the pressure difference between left and right?

You score two points on a water pipe which is positioned horizontally, with water passing through it from left to right. The diameter of the pipe to the left of the buoy is 6.482 cm and right brand is 1.904 cm. What is the pressure difference between left and right if the fluid velocity on the left is 8341 cm / s?

The flow is therefore constant: Q = V * A = cost. V = Speed [m / s] Area A, section = 's [m] LEFT SECTION V1 = 8.341 cm / s = 0.8341 m / s A1 = π * ² D1 / 4 = 3.2999 * 10 ^ -3 sq (D1 is the diameter of the tube left in meters) Q1 = A1 * V1 = 2.7524 * 10 ^ -4 m³ / s LAW Section A2 = π * ² D2 / 4 = 2.84724 * 10 ^ -4 m² (D2 is the diameter of the pipe in meters left) Q1 = Q2 = V2 * A2 = 2.7524 * 10 ^ -4 m³ / s V2 = So Q2/A2 = 0.966 m / s ENERGY CONSERVATION The Bernoulli give low: P / ρ + V ² / 2 + g * z = cost of the height (z) is constant because the pipe is horizontal N / P + V ρ ² / 2 = cost. Were: P1 / V1 ² + ρ / 2 = P2 / ρ + V2 ² / 2 (P1 - P2) / V2 = ρ ² / 2 - ² V1 / 2 The pressure difference between left and right P1 - P2: P1 - P2 = ρ * (V2 ² / 2 - ² V1 / 2) = 463.79 Pa Note: ρ is the water density 1000 kg / m³.

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