What Is the Blasius Laminar Boundary Layer Calculator?
The Blasius solution solves the Prandtl boundary layer equations for steady, laminar, 2D flow over a flat plate.
It provides exact proportionality constants for boundary layer growth and skin friction.
How Does the Blasius Laminar Boundary Layer Calculator Work?
Viscous shear diffuses momentum outward from the wall, growing the boundary layer as the square root of distance (x^0.5).
The local wall shear stress decreases down the plate as the velocity gradient at the wall relaxes.
Blasius Laminar Boundary Layer Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Classic Blasius similarity relationships for thickness and friction drag coefficients.
How to Use the Blasius Laminar Boundary Layer Calculator
- Enter the fluid velocity, density, viscosity, and plate chord length.
- Observe the 99% boundary layer thickness, displacement thickness, and overall drag coefficient.
Step-by-Step Example Calculation
Wind Tunnel Model Airflow
Input Values:
Understanding Your Result
δ_99 is the height at which velocity reaches 99% of freestream velocity.
Total drag coefficient CD = 1.328 / √ReL is integrated across the plate length.
Factors That Affect the Result
- Higher velocity and larger chord increase Reynolds number, thinning relative boundary layer metrics.
- Increased viscosity accelerates boundary layer growth.
When Should You Use This Calculator?
- Low Reynolds number aerodynamic design, glider wings, micro air vehicles, and laminar flow flowcells.
Assumptions & Limitations
- Assumes steady, incompressible, laminar flow with zero pressure gradient (Re < 5×10⁵).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard exact numerical solution of the Blasius ordinary differential equation.