Fluid Mechanics Calculator - Fluid Dynamics and Hydrodynamics

This physics calculator helps you calculate fluid mechanics parameters including pressure, flow rate, viscosity, and Bernoulli equation. Fluid mechanics is essential for understanding fluid behavior and engineering applications.

Fluid Mechanics Definition

• Fluid Mechanics: Study of fluid behavior and forces
• SI Unit: Pa (Pascal) for pressure
• Formula: P = ρgh (hydrostatic pressure)
• Flow Rate: Q = vA (volume flow rate)

Fluid Mechanics Formulas

• Hydrostatic Pressure: P = ρgh
• Dynamic Pressure: P = ½ρv²
• Bernoulli Equation: P + ρgh + ½ρv² = constant
• Flow Rate: Q = vA
• Reynolds Number: Re = ρvD/μ
• Shear Stress: τ = μ(dv/dr)

Applications

• Engineering: Pipe design and fluid systems
• Aerodynamics: Aircraft and vehicle design
• Hydraulics: Water systems and dams
• Chemical Engineering: Process design
• Oceanography: Ocean currents and waves
• Meteorology: Atmospheric dynamics

Important Notes

• Pressure increases with depth
• Velocity affects dynamic pressure
• Viscosity determines flow type
• Reynolds number indicates flow regime
• Bernoulli equation conserves energy

Flow Types

• Laminar Flow: Smooth, ordered motion
• Turbulent Flow: Chaotic, mixed motion
• Transitional Flow: Between laminar and turbulent
• Compressible Flow: Density changes
• Incompressible Flow: Constant density

Common Examples

• Water Flow: Rivers and pipes
• Air Flow: Wind and ventilation
• Oil Flow: Lubrication systems
• Blood Flow: Cardiovascular system
• Gas Flow: Combustion engines

Fluid Properties

• Density: Mass per unit volume
• Viscosity: Resistance to flow
• Surface Tension: Surface energy
• Compressibility: Volume change under pressure
• Thermal Expansion: Volume change with temperature

Fluid Mechanics Units

• Pressure: Pa, kPa, bar, atm, psi
• Flow Rate: m³/s, L/s, gal/min
• Viscosity: Pa⋅s, cP, P
• Density: kg/m³, g/cm³, lb/ft³
• Velocity: m/s, km/h, ft/s

Fluid Mechanics Measurement

• Pressure Sensors: Direct pressure measurement
• Flow Meters: Volume flow measurement
• Viscometers: Viscosity measurement
• Pitot Tubes: Velocity measurement
• Manometers: Pressure difference measurement