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Bernoulli's equation relates pressure, kinetic energy, and potential energy in flowing fluids. It explains how airfoils generate lift and how pumps function.

公式

The calculator applies P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂

ステップバイステップガイド

  1. 1Enter pressure, velocity, height, and fluid density at two points
  2. 2The calculator applies P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
  3. 3Results show energy conservation in fluid flow

解いた例

入力
P₁ = 101.3 kPa, v₁ = 0, z₁ = 0, P₂ = ?, v₂ = 10 m/s, ρ = 1 kg/m³
結果
P₂ ≈ 101.3 - 50 = 101.25 kPa
Lower pressure in moving fluid

避けるべきよくある間違い

  • Applying Bernoulli to compressible gases without corrections
  • Neglecting elevation terms in vertical flow

よくある質問

Why does faster-moving water have lower pressure?

Energy is conserved; faster kinetic energy means less pressure potential energy.

How do airplane wings use Bernoulli's principle?

Wings are curved to make air flow faster on top, creating lower pressure and generating lift.

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