Flowrate Formulation of Deviation Function Based Gerotor Pumps

2010 ◽  
Vol 132 (6) ◽  
Author(s):  
Daniel C. H. Yang ◽  
Jia Yan ◽  
Shih-Hsi Tong
Keyword(s):  
Deviation Function ◽  
Dimensionless Parameters ◽  
Gerotor Pumps

This paper derives formulas for evaluating the flowrate of gerotor pumps. The flowrate formulas are based on a deviation function, and the pitch and generating curves can be circular or noncircular. Two dimensionless parameters, the lobe noncircularity and the pitch noncircularity, are introduced so that gerotor performance can be analyzed systematically.

Flowrate formulation and displacement analyses for deviation function-based gerotor pumps

2010 ◽  
Vol 225 (2) ◽  
pp. 480-487 ◽  
Author(s):  
D C H Yang ◽  
J Yan ◽  
S-H Tong
Keyword(s):  
Case Studies ◽  
Deviation Function ◽  
Dimensionless Parameters ◽  
Displacement Analysis ◽  
Gerotor Pumps ◽  
Deviation Functions ◽  
The Given ◽  
Circular Pitch

This article presents a research on the flowrate formulation and displacement analysis of gerotor pumps. The flowrate formula is based on the deviation function and is applicable to gerotors with any pitch curves and generating curves that are either circular or non-circular. For gerotors with the circular pitch curves and generating curves, the derivation of the formula proposed here is much simpler than the current available one. Two dimensionless parameters, the lobe non-circularity and the pitch non-circularity, are then introduced so that gerotor performance can be analysed systematically. As examples, the specific flowrate and displacement curves with the combinations of sinusoidal and polynomial pitch curves and deviation functions are illustrated. Based on these case studies, it is found that in general the specific displacement increases according to the lobe non-circularity, whereas the pitch non-circularity has only the minimum effects on the performance of pumping displacement. The results of the given case studies also show that the pumps with less lobe numbers are capable to have relatively larger specific displacements.

scholarly journals Two dimensionless parameters and a mechanical analogue for the HKB model of motor coordination

2021 ◽  
Author(s):  
J. F. Cass ◽  
S. J. Hogan
Keyword(s):  
Motor Coordination ◽  
Nonlinear Damping ◽  
Numerical Continuation ◽  
Arbitrary Parameter ◽  
Relevant Parameter ◽  
Coupling Coefficients ◽  
Dimensionless Parameters ◽  
Biologically Relevant ◽  
Mechanical Analogue ◽  
Partner Interaction

AbstractThe widely cited Haken–Kelso–Bunz (HKB) model of motor coordination is used in an enormous range of applications. In this paper, we show analytically that the weakly damped, weakly coupled HKB model of two oscillators depends on only two dimensionless parameters; the ratio of the linear damping coefficient and the linear coupling coefficient and the ratio of the combined nonlinear damping coefficients and the combined nonlinear coupling coefficients. We illustrate our results with a mechanical analogue. We use our analytic results to predict behaviours in arbitrary parameter regimes and show how this led us to explain and extend recent numerical continuation results of the full HKB model. The key finding is that the HKB model contains a significant amount of behaviour in biologically relevant parameter regimes not yet observed in experiments or numerical simulations. This observation has implications for the development of virtual partner interaction and the human dynamic clamp, and potentially for the HKB model itself.

Dam-Breach Flood Wave Propagation Using Dimensionless Parameters

2003 ◽  
Vol 129 (10) ◽  
pp. 777-782 ◽  
Author(s):  
Victor M. Ponce ◽  
Ahmad Taher-shamsi ◽  
Ampar V. Shetty
Keyword(s):  
Wave Propagation ◽  
Flood Wave ◽  
Dam Breach ◽  
Dimensionless Parameters

Nonlinear mixed convective Williamson nanofluid flow with the suspension of gyrotactic microorganisms

2021 ◽  
pp. 2150145
Author(s):  
Shuang-Shuang Zhou ◽  
M. Ijaz Khan ◽  
Sumaira Qayyum ◽  
B. C. Prasannakumara ◽  
R. Naveen Kumar ◽  
...  
Keyword(s):  
Heat Source ◽  
Lewis Number ◽  
Solution Procedure ◽  
Energy Concentration ◽  
Gyrotactic Microorganisms ◽  
Dimensionless Parameters ◽  
Flow Equations ◽  
Fluid Parameter ◽  
Source Sink ◽  
The Impact

This investigation aims to present the thermally developed bioconvection flow of Williamson nanoliquid over an inclined stretching cylinder in presence of linear mixed convection and nonuniform heat source/sink. The activation energy and suspension of gyrotactic microorganisms are accounted with applications of bioconvection phenomenon. Appropriate nondimensional variables are opted to attain the dimensionless form of flow equations. The resulting momentum, energy, concentration and motile density equations are abridged to highly coupled and nonlinear in nature. The numerical treatment is followed for the solution procedure by employing the shooting method. The influence of some relevant dimensionless parameters is discoursed graphically along with physical justifications. Moreover, the impact of several dimensionless parameters on skin friction and Nusselt number is obtained and listed in tables. It is observed that the velocity of fluid shows a decreasing variation for Williamson fluid parameter. The change in unsteadiness parameter and heat source parameter enhanced the nanofluid temperature. The motile microorganisms profile declines with bioconvection constant and bio-convection Lewis number.

Vibratory Conveying by Harmonic Longitudinal and Polyharmonic Normal Vibrations of Inclined Conveying Track

2021 ◽  
pp. 1-14
Author(s):  
Ihor Vrublevskyi
Keyword(s):  
Inclination Angle ◽  
Normal Vibration ◽  
Longitudinal Vibration ◽  
Frictional Coefficient ◽  
Material Point ◽  
Normal Vibrations ◽  
Dimensionless Parameters ◽  
Optimal Values ◽  
Vibration Parameters ◽  
Angle Parameter

Abstract Vibratory conveying of a material point by harmonic longitudinal and polyharmonic normal vibrations of an inclined conveying surface is considered. The dependence of dimensionless conveying velocity – a ratio of velocity to the product of frequency and amplitude of longitudinal vibration – on several dimensionless parameters is investigated in the moving modes without hopping. Maximal conveying velocity is achieved at the certain values of normal vibration amplitudes and phase difference angle between the longitudinal and normal vibrations, which are called optimal. Their values are dependent on two dimensionless parameters: the inclination angle parameter – a ratio of an inclination angle tangent to a frictional coefficient, the intensive vibration coefficient – a ratio of the longitudinal amplitude of vibration to the amplitude of the first harmonic of normal vibration and frictional coefficient. In a condition of the intensive longitudinal vibration, when its amplitude significantly greater than amplitudes of normal vibration, dimensionless velocity is almost independent of the intensive vibration parameter and it depends only on inclination angle parameter, i.e. on inclination angle and frictional coefficient. The optimal values of harmonics' amplitudes of polyharmonic normal vibration are determined in dependence of inclination angle parameter with the number of harmonics from 2 to 7. The graphs of considered dependencies are presented and the most important values of parameters are presented in the table. Conclusions are made to determine the optimal vibration parameters and the problems of further research are indicated. The considered vibrations can be used in different vibratory conveying devices with electromagnetic drives.

A Perspective on Combustion-Driven Flows With Circulation

2001 ◽  
Author(s):  
Francine Battaglia ◽  
Ronald G. Rehm ◽  
Howard R. Baum ◽  
Mohamed I. Hassan ◽  
Kozo Saito
Keyword(s):  
Reynolds Number ◽  
Froude Number ◽  
Theoretical Studies ◽  
Swirl Number ◽  
Dimensionless Parameters ◽  
Parametric Investigation ◽  
Fire Whirl ◽  
Slender Column ◽  
Combustion Processes

Abstract Perhaps the most dramatic example of surprising behavior when circulation is imposed on a combustion-driven flow is the fire whirl, where the burning gases form a tall slender column. Relatively few studies have addressed the influence of circulation on the development of combustion-driven flows. Three dimensionless parameters characterize this interplay: the Froude number, the swirl number and the Reynolds number. It is surprising that for most studies, even with plausible assumptions concerning the experiments, not enough information is given to determine the values of these parameters. We will experimentally reconstruct these studies in an effort to characterize parametrically these interactions. Both buoyancy-driven and momentum-driven combustion processes will be investigated to determine the influence of circulation. Theoretical studies will occur in conjunction to provide the most complete parametric investigation.

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