Author(s): Ulf Teschke; Fabian Ruhr

Linked Author(s): Ulf Teschke

Keywords: Bernoulli's equation; Finite cross flow section expansion; Potential flow

Abstract: In engineering practice, the Bernoulli equation is often used as an approximation for the description of flow variables along a flow, although its application is exact only along one specific streamline. In this context, one speaks of the stream filament theory, whereby a mean streamline is regarded as representative of the entire cross-section. The speed used often corresponds to the mean speed as the quotient of the volume flow and the cross-section through which the flow passes. In order to minimize the error that occurs, the speed level is often multiplied by a correction coefficient. This paper introduces the necessary considerations to calculate velocity correction coefficients required to specify exact velocity heads in the extended Bernoulli equation and the extended Energy flux equation. Corrections are compared for different flow scenarios in the potential flow of a two-dimensional dipole.

DOI: https://doi.org/10.3850/978-90-833476-1-5_iahr40wc-p0134-cd

Year: 2023