Far from the boundary, in the free stream, it is valid to use the Bernoulli equation. That's what boundary layer theory is all about.Arjan82 said:
The Prandtl boundary layer equation is a mathematical equation that describes the behavior of a thin layer of fluid near a solid surface in a flow. It takes into account the effects of viscosity and the velocity gradient in the boundary layer.
A two dimensional steady laminar flow is a type of fluid flow that occurs in a flat, two-dimensional space and remains constant over time. Laminar flow means that the fluid particles move in smooth, parallel layers without mixing or turbulence.
The Prandtl boundary layer equation is used to predict the behavior of a fluid near a solid surface in a flow. It is often used in aerodynamics and hydrodynamics to calculate the drag and lift forces on objects moving through a fluid.
The behavior of the Prandtl boundary layer is affected by several factors, including the viscosity of the fluid, the velocity of the flow, the shape and roughness of the solid surface, and the temperature of the fluid. These factors can influence the thickness and speed of the boundary layer.
The Prandtl boundary layer equation makes several assumptions, including that the flow is two-dimensional and steady, the fluid is incompressible, and the boundary layer is laminar. It also assumes that the velocity and temperature gradients in the boundary layer are small and that the fluid properties are constant.
