Tutorial - Laminar Boundary Layers — Lesson 4

This lesson covers the concept of laminar boundary layers, focusing on how to solve example problems related to this topic. It delves into the quadratic velocity profile inside the boundary layer for laminar flow of fluid over a flat plate and the use of the approximate momentum integral method to find the expression for boundary layer thickness. The lesson also discusses the assumptions made in the velocity profile and the boundary conditions required to find the coefficients. It further explains how to calculate the skin friction coefficient, drag on the plate, boundary layer thickness, displacement thickness, and momentum thickness at the trailing edge. The lesson concludes with a discussion on the flow between two parallel plates in the developing range.

Video Highlights

00:40 - Explanation of the first problem involving a quadratic velocity profile inside the boundary layer for laminar flow of fluid over a flat plate.
07:51 - Explanation of the second problem involving a different velocity profile inside the boundary layer.
13:27 - Explanation of the third problem involving a flat plate immersed parallel to an airstream.
25:17 - Explanation of the final example problem involving flow between two parallel plates in the developing range.

Key Takeaways

- The quadratic velocity profile inside the boundary layer for laminar flow of fluid over a flat plate is used to find the expression for boundary layer thickness.
- The approximate momentum integral method is used to solve boundary layer equations.
- The velocity profile is assumed to be quadratic, and three boundary conditions are required to find the coefficients.
- The skin friction coefficient, drag on the plate, boundary layer thickness, displacement thickness, and momentum thickness at the trailing edge can be calculated using the given formulas.
- The flow between two parallel plates in the developing range is discussed, with a focus on the acceleration on the axis of symmetry.