H.L. Oliveira, S. McKee, G.C. Buscaglia, J.A. Cuminato, I.W. Stewart and D.J. Wheatley.
IMA J. Appl. Math., 87, 537-567 (2022).
Abstract
This note extends previous work of the authors modelling the Wheatley valve by using six intersecting and contiguous ellipses to obtain a generalized mathematical representation of the Wheatley valve: this provides a number of free parameters that could be employed to obtain an optimal design. Since optimality is multi-objective with many of the objectives conflicting we focus on the stresses imposed on the valve by a constant force field. Three distinctly different designs are chosen and an analysis of the stresses is undertaken, conclusions are drawn and results are discussed.