Engineering Calculator

Fluid Mechanics Calculator

Calculate fluid flow parameters including velocity, pressure, Reynolds number, and pump power

Fluid Mechanics Calculator

Apply the continuity equation (A₁V₁ = A₂V₂) to calculate flow parameters in pipes and channels.

m/s
m/s
m³/s

Fluid Mechanics Principles

Fundamental equations and concepts in fluid mechanics

Fundamental Equations

Continuity

A₁V₁ = A₂V₂ = Q (conservation of mass)

Bernoulli

P + ½ρV² + ρgh = constant (energy conservation)

Reynolds Number

Re = ρVD/μ = VD/ν (flow characterization)

Practical Applications

Pipe Flow

hf = f(L/D)(V²/2g), ΔP = ρghf

Pump Power

P = ρgQH/η (hydraulic power)

Orifice Flow

Q = CdA√(2gh) (discharge through openings)

Design Guidelines

• Consider pressure losses in systems

• Account for elevation changes

• Select appropriate pipe sizes

Common Fluids

• Water: ρ = 1000 kg/m³, μ = 0.001 Pa⋅s

• Air: ρ = 1.2 kg/m³, μ = 1.8×10⁻⁵ Pa⋅s

• Oil: ρ = 850 kg/m³, μ = 0.1 Pa⋅s

Applications

• Pipeline design

• Pump selection

• HVAC systems