Stability of two-dimensional potential flows using bicomplex numbers.

ABSTRACT: The use of the complex velocity potential and the complex velocity is widely disseminated in the study of two-dimensional incompressible potential flows. The advantages of working with complex analytical functions made this representation of the flow ubiquitous in the field of theoretical aerodynamics. However, this representation is not usually employed in linear stability studies, where the representation of the velocity as real vectors is preferred by most authors, in order to allow the representation of the perturbation as the complex exponential function. Some of the classical attempts to use the complex velocity potential in stability studies suffer from formal errors. In this work, we present a framework that reconciles these two complex representations using bicomplex numbers. This

SUBMITTER: Kleine VG 

PROVIDER: S-EPMC9185835 | biostudies-literature | 2022 Jun

REPOSITORIES: biostudies-literature