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Technical Briefs

# Flowrate Formulation of Deviation Function Based Gerotor Pumps

[+] Author and Article Information
Daniel C. H. Yang

Mechanical and Aerospace Engineering, Henry Samueli School of Engineering and Applied Science, University of California–Los Angeles, Los Angeles, CA 90095-1597dyang@seas.ucla.edu

Jia Yan

Mechanical and Aerospace Engineering, Henry Samueli School of Engineering and Applied Science, University of California–Los Angeles, Los Angeles, CA 90095-1597jiayan@ucla.edu

Shih-Hsi Tong

Mechanical and Aerospace Engineering, Henry Samueli School of Engineering and Applied Science, University of California–Los Angeles, Los Angeles, CA 90095-1597shihhsi@yahoo.com

J. Mech. Des 132(6), 064503 (May 28, 2010) (5 pages) doi:10.1115/1.4001595 History: Received January 23, 2009; Revised April 08, 2010; Published May 28, 2010; Online May 28, 2010

## Abstract

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.

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## Figures

Figure 1

Flowrate analysis (noncircular pitch)

Figure 2

Flowrate analysis (circular-pitch and generating curves)

Figure 3

Size of a gerotor pump

Figure 4

Outer rotor profiles with different combinations of h and k(n=3): (a) k=1.5 and (b) h=2

Figure 5

Specific flowrate based on sinusoidal pitch and circular generating curve: (a) k=1.5, n=3, and ρ=0.3; and (b) k=1.5, n=6, and ρ=0.01

Figure 6

Specific flowrate based on rational pitch function and fourth order polynomial deviation function: (a) n=3, k=1, and θs=66.7 deg; and (b) n=6, k=1, and θs≈56 deg

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