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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Abstract
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 |
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| 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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