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Deficiency-surplus transition function (DeSuTra) in semi-empirical formulas for tumbling of freely falling card

Vorohobovs Vladimirs, Kleinhofs Martins

Composites Theory and Practice

2022

R. 22, nr 2

92--98

A new phenomenological method for composing analytical formulae to describe dynamic systems using the DeSuTra function as a building block is introduced. Based on heuristic considerations, it is possible to write a correct formula with several unknown coefficients. Next, these coefficients are tuned such a way that the result coincides with the experimental data. To illustrate the viability of such a method, a simple but not trivial aerodynamic system was chosen: the autorotation of a rectangular piece of paper that falls in air. Three correction coefficients (diminishers) were introduced to calculate its rotation frequency Then a simple expression for the Magnus effect and drag force was used. All the obtained formulae were experimentally proved and the coefficients calculated. The conclusions drawn confirm the usefulness of the presented calculation procedure for the design of composites with chaotically distributed reinforcements.

Badania modelowe w tunelu aerodynamicznym wirników wiatrowych typu Magnusa o poziomej osi obrotu

Matys P., Flaga A.

Budownictwo i Architektura

2013

Vol. 12, nr 2

151--156

Praca przedstawia wyniki badań eksperymentalnych w tunelu aerodynamicznym wirników typu Magnusa o poziomej osi obrotu. Najpierw przeprowadzono pomiary aerodynamicznej siły bocznej (nośnej) oraz oporu aerodynamicznego na wirującym walcu dołączonym do wagi aerodynamicznej. Następnie wykonano badania wirnika jednołopatowego z przeciwwagą.

The paper presents results of wind tunnel tests of horizontal axis wind rotors of Magnus type. Firstly, measurements of aerodynamic side (lift) force and aerodynamic drag on rotating cylinder attached to horizontal aerodynamic balance were performed. Secondly, the model of single-blade rotor with counterbalance was tested.