π Fluid Mechanics Calculators
Analyze pipe flow, pressure drop, drag forces, and compressible flow with high-precision Fortran-powered tools.
π Fluid Statics
Fluid Statics Calculator
Calculate hydrostatic pressure in layered fluids, centroid forces and center of pressure for submerged plane surfaces, and multi-fluid U-tube manometer deflections.
π§ Internal Flow
Pipe Flow & Pressure Drop
Darcy-Weisbach pressure drop with Colebrook-White friction factor, minor losses, and interactive Moody chart.
Pipe Networks
Series and parallel pipe systems with Hardy-Cross method for network analysis.
Bernoulli & Extended Energy
Fluid energy balances across pipelines, incorporating pipe diameter changes, pumps, turbines, and friction losses with HGL/EGL plotting.
Pump & System Curves
Centrifugal pump operating points for single, parallel, or series configurations. Model pipeline resistance and check NPSH cavitation limits.
Water Hammer (Coup de bΓ©lier)
Transient pressure surges caused by valve closures. Simulate wave propagation, critical timings, support forces, hoop stress, and cavitation warnings using 1D MOC.
Non-Newtonian Pipe Flow
Analyze pipe flow of power-law, Bingham plastic, and Herschel-Bulkley fluids. Apparent viscosity and velocity plug core profiles.
Moody Diagram Explorer
Interactive Colebrook-White and Swamee-Jain friction factor diagram. Plot custom operating points and inspect flow regimes.
Pitot Tube Calculator
Compute flow velocity from pitot tube differential pressure. Includes Bernoulli and isentropic compressibility corrections.
Venturi & Nozzle Flow Meter
Calculate volume and mass flow rates through venturi and nozzle meters using ISO 5167 correlations and differential pressure.
Surge Tank & Surge Analysis
Simulate water level oscillations in surge tanks after sudden load rejection using RK4 integration. Evaluates Thoma stability.
Hydraulic Turbine Design
Design Pelton, Francis, and Kaplan turbines. Compute specific speed, runner diameter, efficiency envelopes, and cavitation safety.
π― External Flow
Drag Force Calculator
Drag on spheres, cylinders, flat plates, and streamlined bodies with Reynolds-dependent Cd correlations.
Boundary Layer Analysis
Laminar and turbulent boundary layer thickness, displacement thickness, and momentum thickness.
Flow Around Cylinders
Compute vortex shedding frequency, Strouhal number, drag/lift coefficients, and lock-in velocity range for cylinders in cross-flow.
Lift & Airfoil Calculator
Analyze NACA 4-digit airfoils using thin airfoil theory with finite-wing corrections. Outputs CL, CD, CM, and polar diagram.
Sedimentation & Settling
Compute terminal settling velocity for single or hindered particles through Stokes, intermediate, and Newton drag regimes.
π Compressible Flow
Isentropic & Normal Shock
Isentropic flow relations, area ratios, speed of sound, and normal shock properties with flow tables.
Nozzle Flow
Converging-diverging nozzle analysis with choking conditions and exit plane properties.
Oblique Shock Wave relations
Oblique shock angles (weak/strong), downstream Mach, pressure/temperature ratios, and detachment limit warning.
Prandtl-Meyer Expansion Fan
Centered supersonic expansion waves at convex corners. Calculate downstream Mach, static ratios, and Mach line geometries.
Fanno Flow (Duct Friction)
Adiabatic compressible duct flow with friction. Compute exit Mach, choking limits, stagnation pressure drop, and normal shock positions.
Rayleigh Flow (Heat Addition)
Frictionless compressible duct flow with heat transfer. Compute temperature/pressure changes, maximum heat allowed, and thermal choking limits.
Rocket Nozzle (De Laval)
Size converging-diverging rocket nozzles using compressible relations. Compute thrust, characteristic velocity, and specific impulse.
π Open Channel Flow
Manning's Equation
Normal depth, velocity, and discharge for rectangular, trapezoidal, triangular, and circular channels. Froude number and rating curve.
Hydraulic Jump Calculator
Conjugate depth, energy loss, jump classification (undular β strong), power dissipated, and specific energy diagram.
Gradually Varied Flow Profile
Simulate gradually varied open-channel water surface profiles (M1, M2, S1, S2 etc.) using Heun integration of the GVF equation.
Submerged Orifice & Weir
Calculate open-channel flow over rectangular, V-notch, and trapezoidal weirs, or through submerged sluice gates.