The pressure at a specific point in a fluid flow depends on various factors, including the fluid’s velocity, density, and the geometry of the flow field. It helps us to determine the pressure distribution and aerodynamic behavior of different shapes and optimize designs for various applications. This equation is commonly used in aerodynamics and fluid dynamics to relate the pressure distribution around an airfoil or aerodynamic body to the free-stream conditions and the local pressure coefficient at different points on the body’s surface.
- p is the pressure at the specific point on the aerodynamic body (measured in N/m^2).
- p∞ is the ambient or free-stream pressure of the fluid far away from the body (measured in N/m^2).
- q∞ is the dynamic pressure of the flow at the free-stream velocity (measured in N/m^2).
- Cp is the coefficient of pressure at that specific point on the aerodynamic body (dimensionless).