Interactive tools

Calculators

Browser-based CFD and fluid mechanics calculators. No login, no install — enter your values and get results instantly. For educational use.

y+ Wall Distance Calculator

Estimate the required first cell height to achieve a target y+ value. Uses flat-plate boundary layer correlations. Defaults: air at 10 m/s over a 1 m plate.


Equations used
Re_L = ρ·U·L / μ Cf = 0.026·Re_L^(-1/7) [turbulent flat plate] τ_w = Cf · ½ρU² u* = √(τ_w / ρ) Δy = y+ · μ / (ρ · u*)

Reynolds Number Calculator

Calculate Reynolds number for pipe flow, flat plate, and channel flow with automatic regime classification. Defaults: air at 10 m/s in a 0.1 m pipe.


Equation
Re = ρ·U·L / μ = U·L / ν Laminar: Re < 2300 (pipe) Transition: 2300 ≤ Re < 4000 Turbulent: Re ≥ 4000

Turbulence Inlet Conditions

Compute k, ε, ω, and νt from freestream turbulence intensity and length scale. Use these values as inlet boundary conditions in ANSYS Fluent or OpenFOAM. Defaults: 10 m/s, 5% intensity.


Equations (Cμ = 0.09)
k = 1.5·(U·I)² ε = Cμ^(3/4) · k^(3/2) / l ω = k^(1/2) / (Cμ^(1/4) · l) νt = Cμ · k² / ε

Mach Number & Compressibility

Calculate Mach number, stagnation temperature and pressure, and dynamic pressure. Identify the flow regime. Defaults: air at 300 K, 200 m/s.


Isentropic relations
a = √(γRT) Ma = U / a T₀ = T·(1 + (γ-1)/2·Ma²) P₀ = P·(T₀/T)^(γ/(γ-1)) q = ½·γ·P·Ma²

Particle Settling Velocity

Calculate the terminal settling velocity of a spherical particle falling under gravity in a viscous fluid. Uses iterative Stokes / transitional / Newton drag correlations. Defaults: 100 μm sand in water.


Correlations
Stokes (Re<0.1): Cd = 24/Re Transitional: Cd = 24/Re + 6/(1+√Re) + 0.4 Newton (Re>1000): Cd ≈ 0.44 vt from: ¾·Cd·(ρf/ρp)·(vt²/gd) = (ρp-ρf)/ρp

CFL Number Calculator

Estimate the Courant–Friedrichs–Lewy number for your mesh and time step, with stability guidance for explicit and implicit solvers. Defaults: air at 10 m/s, 1 mm cell, 1e-4 s time step.


CFL condition
CFL = U · Δt / Δx Explicit schemes: CFL ≤ 1 for stability Implicit schemes: CFL > 1 allowed (accuracy ↓) Recommended: CFL ≈ 0.5 for explicit
For educational use only. These calculators use standard empirical correlations and are intended to provide engineering estimates for learning and setup purposes. Results should be verified against your specific case conditions and relevant literature before use in any design or research application.