Fluid Mechanics Formulas
A complete list of fluid mechanics formulas, covering pressure, buoyancy, Bernoulli's equation, continuity, flow rate, and viscosity.
7 formulas. Use the interactive searcher to solve for any variable and convert units.
Open the interactive searcher →Pressure in fluid
P = ρ·g·h
P pressurePaρ densitykg/m³g gravitational accelerationm/s²h depthm
Buoyant force
F_b = ρ·g·V
F_b buoyant forceNρ densitykg/m³g gravitational accelerationm/s²V volumem³
Continuity equation
A₁·v₁ = A₂·v₂
A₁ aream²A₂ aream²v₁ velocitym/sv₂ velocitym/s
Bernoulli's equation
P + ½·ρ·v² + ρ·g·h = const
P pressurePaρ densitykg/m³v velocitym/sg gravitational accelerationm/s²h heightm
Flow rate
Q = A·v
Q flow ratem³/sA aream²v velocitym/s
Viscous drag (Stokes)
F = 6π·η·r·v
F forceNη viscosityPa·sr radiusmv velocitym/s
Reynolds number
Re = ρ·v·L / η
Re Reynolds numberρ densitykg/m³v velocitym/sL lengthmη viscosityPa·s