🌊 Boundary Layer Analysis Calculator
Laminar and turbulent boundary layer properties over a flat plate with transition detection and profile visualization.
📝 Configuration
Laminar (Blasius):
δ = 5.0 x / √Re_x
δ* = 1.7208 x / √Re_x
C_f = 0.664 / √Re_x
Turbulent (1/7 power law):
δ = 0.37 x / Re_x⁰·²
δ* = δ / 8
C_f = 0.0592 / Re_x⁰·²
Mixed drag:
C_D = 0.074/Re_L⁰·² − A/Re_L
δ = 5.0 x / √Re_x
δ* = 1.7208 x / √Re_x
C_f = 0.664 / √Re_x
Turbulent (1/7 power law):
δ = 0.37 x / Re_x⁰·²
δ* = δ / 8
C_f = 0.0592 / Re_x⁰·²
Mixed drag:
C_D = 0.074/Re_L⁰·² − A/Re_L
📊 Results & Visualization
Configure the inputs and click Calculate to see results.
ℹ️ About Boundary Layers
A boundary layer forms when viscous fluid flows over a surface. The velocity transitions from zero at the wall (no-slip) to the free-stream velocity U∞.
Key concepts:
• Laminar BL: Smooth, ordered layers; lower skin friction; Blasius solution
• Turbulent BL: Chaotic mixing; higher skin friction; fuller velocity profile
• Transition: Occurs at Re_x ≈ 5×10⁵ for smooth plates
• δ (thickness): Distance where u = 0.99 U∞
• δ* (displacement): Mass flow deficit due to BL
• θ (momentum): Momentum deficit; key for drag calculation
A boundary layer forms when viscous fluid flows over a surface. The velocity transitions from zero at the wall (no-slip) to the free-stream velocity U∞.
Key concepts:
• Laminar BL: Smooth, ordered layers; lower skin friction; Blasius solution
• Turbulent BL: Chaotic mixing; higher skin friction; fuller velocity profile
• Transition: Occurs at Re_x ≈ 5×10⁵ for smooth plates
• δ (thickness): Distance where u = 0.99 U∞
• δ* (displacement): Mass flow deficit due to BL
• θ (momentum): Momentum deficit; key for drag calculation