Dynamics of Rotary Vane Engine

[+] Author and Article Information
B. V. Librovich

Department of Chemical Engineering, UMIST, Po Box 88, Manchester M60 1QD, UKe-mail: bronislav.librovich@umist.ac.uk

J. Mech. Des 125(3), 498-508 (Sep 04, 2003) (11 pages) doi:10.1115/1.1582500 History: Received April 01, 2002; Revised November 01, 2002; Online September 04, 2003
Copyright © 2003 by ASME
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Scheme of a work unit of Rotary Vane Engine. The RVE consists of a cylinder with intake and exhaust ports, portioned by two vane-pairs into four combustion chambers.
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Diagram of different regimes in one chamber. The smooth solid curve P1P11P4P9P7 represents possible relative angular positions of two vane-pairs. The transition points are denoted by P12,P1,P11,P4,P9,P7.
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Scheme of RVE design. Two work units are joined together by two mutual idlers. The idlers have non-circular gears, which are only in contact with vane-pair gears. The idler gears in contact with the flywheel have circular pitch curves.
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Scematic representation of RVE in 3D. To present vane-pairs the cylinders are not shown. In order to distinguish two different vane-pairs and gears connected to them they are shown by different shading.
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Gas torque as a function of vane-pair separation. The path ABC shows a typical behavior of gas torque as Δθ̃(t) varies between 1 and η and G2 varies from G2,A to G2,C. When Δθ̃(t)=η the volume is at maximum and a new combustion phase is initiated in (j−1)-th chamber and gas torque will change from G2,C to G2,D at that instant.
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Angular velocity of flywheel as a function of time for following initial condition ω0=0.996ωst. The engine starts to work in steady-state condition (energy produced by combustion equals to energy produced by loaded torque) right from the beginning. The relative magnitude of oscillations is small Δω/ωm≈0.01≪1.
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Gas torque in units I and II as functions of time. In our model it is assumed that combustion is an instantaneous process. Therefore, at transition points gas torque has discontinuity, due to a sharp increase in pressure inside the combustion chambers.
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Transfered to the flywheel and loaded torques as functions of time. Transfered torque Gf has oscillating behavior due to periodic combustion process in the chambers. Loaded torque GL also oscillates due to fluctuation of angular velocity of the flywheel.
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Angular velocities of the flywheel as function of time for two different initial conditions: a) ω0=0.4ωst, and b) ω=1.6ωst. In both cases average angular velocity of flywheel approaches steady-state value. In case a) the engine accelerates, and in case b) decelerates. In both cases the relative magnitude of oscillations is small Δω/ωm≈0.01≪1.  




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