On The Role of Higher-Order Terms in Local Piston Theory

Meijer, Marius-Corné and Dala, Laurent (2019) On The Role of Higher-Order Terms in Local Piston Theory. Journal of Aircraft, 56 (1). pp. 388-391. ISSN 0021-8669

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Official URL: https://doi.org/10.2514/1.C034920


The use of second- and third-order classical piston theory [1] (CPT) is commonplace, with the role of the higher-order terms being well understood [2]. The advantages of local piston theory (LPT) relative to CPT have been demonstrated previously [3]. Typically, LPT has been used to perturb a mean-steady solution obtained from the Euler equations, and recently, from the Navier-Stokes equations [4]. The applications of LPT in the literature have been limited to first-order LPT [5–7]. The reasoning behind this has been that the dynamic linearization used assumes small perturbations. The present note clarifies the role of higher-order terms in LPT. It is shown that second-order LPT makes a non-zero contribution to the normal-force prediction, in contrast to second-order CPT.

Item Type: Article
Subjects: H400 Aerospace Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Becky Skoyles
Date Deposited: 05 Jul 2018 07:59
Last Modified: 01 Aug 2021 07:32
URI: http://nrl.northumbria.ac.uk/id/eprint/34816

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