Fluid Mechanics Calculators — Buoyancy, Pressure & Bernoulli
Calculate buoyancy (Archimedes' principle), hydrostatic pressure, fluid flow rate, and solve Bernoulli's equation for pipes and open channels.
Calculators Coming Soon
We're building fluid mechanics calculators with real formulas, step-by-step explanations, and educational articles. Meanwhile, explore the guide below or browse a related category.
Understanding Fluid Mechanics
Fluid mechanics studies liquids and gases at rest (hydrostatics) and in motion (hydrodynamics). Pressure in a static fluid increases linearly with depth: P = P<sub>0</sub> + ρgh. At 10 m underwater, gauge pressure reaches about 1 atmosphere (98,000 Pa), which is why divers must equalize pressure in their ears. Archimedes' principle explains buoyancy — an object floats when the weight of displaced fluid equals the object's weight.
For moving fluids, Bernoulli's equation (P + ½ρv² + ρgh = constant) relates pressure, velocity, and elevation. Where fluid velocity increases, pressure decreases — the principle behind airplane lift, carburetors, and Venturi meters. The continuity equation (A<sub>1</sub>v<sub>1</sub> = A<sub>2</sub>v<sub>2</sub>) ensures mass is conserved: fluid speeds up through constrictions and slows in wider sections.
Fluid mechanics connects closely to thermodynamics, since temperature and pressure differences drive fluid flow in heating systems, weather, and engines. Density and buoyancy calculations also depend on mass, weight & gravity concepts, making these two categories natural companions.