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Boundary Layer Calculator

Boundary Layer Calculator

Boundary Layer Calculator Flow Configuration: Flat Plate (Blasius)Pipe Entrance RegionAirfoil (Approximate) Flow Parameters: Free-Stream Velocity U (m/s): Distance from Leading Edge x (m): Fluid Density ρ (kg/m³): Dynamic Viscosity μ (Pa·s): Calculate Boundary Layer Enter flow parameters and click “Calculate Boundary Layer” to get thickness, shear stress, and regime. About the Boundary Layer Calculator The […]

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Turbulence Calculator

Turbulence Calculator

Turbulence Calculator Flow Type: Pipe FlowFlat Plate (Boundary Layer)External Flow (e.g., Airfoil) Fluid Properties: Mean Velocity U (m/s): Density ρ (kg/m³): Dynamic Viscosity μ (Pa·s): Characteristic Length L (m): Calculate Turbulence Enter flow parameters and click “Calculate Turbulence” to determine flow regime and key turbulence metrics. About the Turbulence Calculator The Turbulence Calculator is a

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Streamline Calculator

Streamline Calculator

Streamline Calculator Velocity Field at Point (x₀, y₀, z₀): Initial Point (x₀, y₀, z₀): Velocity v(x₀,y₀,z₀) = (u, v, w): Velocity Field Function (u(x,y,z), v(x,y,z), w(x,y,z)): u(x,y,z): v(x,y,z): w(x,y,z): Integration Steps (forward/backward): Calculate Streamline Enter velocity field, initial point, and click “Calculate Streamline” to trace the path. About the Streamline Calculator The Streamline Calculator is

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Fluid Vorticity Calculator

Fluid Vorticity Calculator

Fluid Vorticity Calculator Velocity Field Components (m/s): u(x,y,z) = ∂u/∂x, ∂u/∂y, ∂u/∂z: v(x,y,z) = ∂v/∂x, ∂v/∂y, ∂v/∂z: w(x,y,z) = ∂w/∂x, ∂w/∂y, ∂w/∂z: Calculate Fluid Vorticity Enter velocity gradients (∂u/∂x, ∂u/∂y, etc.) and click “Calculate Fluid Vorticity” to get the vorticity vector. About the Fluid Vorticity Calculator The Fluid Vorticity Calculator is a scientifically accurate online

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Strange Attractor Calculator

Strange Attractor Calculator

    Strange Attractor Calculator Select Strange Attractor Lorenz (Butterfly)Rössler AttractorAizawa AttractorThomas Cyclically Symmetric σ (Prandtl Number) ρ (Rayleigh Number) β a b c a b c d e f b (Damping) Render Strange Attractor About the Strange Attractor Calculator The Strange Attractor Calculator is the world’s most powerful browser-based 3D chaos visualization tool. It

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Bifurcation Diagram Calculator

Bifurcation Diagram Calculator

    Bifurcation Diagram Calculator Select Map Logistic MapTent MapQuadratic Map Parameter Start (r_min) Parameter End (r_max) Points per r Plot Bifurcation Diagram About the Bifurcation Diagram Calculator The Bifurcation Diagram Calculator is the fastest, most accurate browser tool for visualizing the complete period-doubling route to chaos. It instantly plots high-resolution diagrams for the logistic,

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Poincare Map Calculator

Poincare Map Calculator

    Poincare Map Calculator Select System Duffing OscillatorVan der PolLorenz AttractorDriven Harmonic Driving γ Nonlinearity μ Rayleigh ρ Force F₀ Generate Poincare Map About the Poincare Map Calculator The Poincare Map Calculator is the world’s first fully interactive browser tool that instantly generates Poincaré sections—stroboscopic snapshots of chaotic trajectories—for four benchmark nonlinear systems: Duffing,

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Phase Space Calculator

Phase Space Calculator

    Phase Space Calculator Select Dynamical System Harmonic OscillatorDamped OscillatorDriven OscillatorDuffing (Chaotic) Initial Position x₀ Initial Velocity v₀ Damping Ratio ζ Driving Amplitude F₀ Driving Frequency ω Cubic Stiffness β Plot Phase Space About the Phase Space Calculator The Phase Space Calculator is a revolutionary browser tool that instantly visualizes 2D phase portraits and

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Lyapunov Exponent Calculator

Lyapunov Exponent Calculator

    Lyapunov Exponent Calculator Select System Logistic MapDuffing OscillatorVan der PolLorenz Attractor Growth Rate r (0–4) Driving γ Nonlinearity μ Rayleigh ρ Calculate Lyapunov Exponent About the Lyapunov Exponent Calculator The Lyapunov Exponent Calculator is the definitive browser tool for quantifying chaos. It instantly computes the maximal Lyapunov exponent λ—the gold-standard metric for sensitive

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Chaos Theory Calculator

Chaos Theory Calculator

    Chaos Theory Calculator Select Chaos Tool Lyapunov ExponentFractal DimensionBifurcation DiagramFeigenbaum Constant Logistic Map Parameter r Iterations r_min r_max Bifurcation Depth Calculate Chaos About the Chaos Theory Calculator The Chaos Theory Calculator is the world’s first all-in-one browser tool for computing four cornerstone metrics of deterministic chaos: Lyapunov exponents, fractal dimensions, bifurcation diagrams, and

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