2019Unpublished venueRequires access

Boundary Layer of a Flat Plate

Lothar Birk

Open publisher page 1 citations

Abstract

This chapter derives flat plate frictional coefficients for laminar flow. A flat plate does not force the fluid to change course. Therefore, the exterior flow speed will be maintained everywhere outside the boundary layer. Based on his observations, Prandtl suggested that the basic shape of the velocity distribution remains approximately the same for increasing x-position along the boundary layer. It is simply stretched in y-direction. If a simple equation for the velocity distribution can be derived from measurements, the equation can be solved for the wall shear stress. Having an expression for the velocity distribution across the boundary layer enables us to compute the boundary layer thickness. Having found an expression for the thickness of a laminar boundary layer, one can compute the remaining boundary layer characteristics and compare them with Blasius' more accurate results.

About this research paper

What this paper is about

This chapter derives flat plate frictional coefficients for laminar flow. A flat plate does not force the fluid to change course. Therefore, the exterior flow speed will be maintained everywhere outside the boundary layer. Based on his observations, Prandtl suggested that the basic shape of the velocity distribution remains approximately the same for increasing x-position along the boundary layer. It is simply stretched in y-direction. If a simple equation for the velocity distribution can be derived from measurements, the equation can be solved for the wall shear stress. Having an expression for the velocity distribution across the boundary layer enables us to compute the boundary layer thickness. Having found an expression for the thickness of a laminar boundary layer, one can compute the remaining boundary layer characteristics and compare them with Blasius' more accurate results.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This chapter derives flat plate frictional coefficients for laminar flow. A flat plate does not force the fluid to change course. Therefore, the exterior flow speed will be maintained everywhere outside the boundary layer. Based on his observations, Prandtl suggested that the basic shape of the velocity distribution remains approximately the same for increasing x-position along the boundary layer. It is simply stretched in y-direction. If a simple equation for the velocity distribution can be derived from measurements, the equation can be solved for the wall shear stress. Having an expression for the velocity distribution across the boundary layer enables us to compute the boundary layer thickness. Having found an expression for the thickness of a laminar boundary layer, one can compute the remaining boundary layer characteristics and compare them with Blasius' more accurate results.

Key concepts: Blasius boundary layer, Boundary layer, Laminar flow, Boundary layer thickness, Boundary layer control, Mechanics, Prandtl number, Boundary (topology)

Related papers

Back to paper searchBrowse research topicsOriginal source
Boundary Layer of a Flat Plate — Research Paper | ScholarLens