1971
DOI: 10.1115/1.3425257
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Frequency Response of Fluid Lines With Nonlinear Boundary Conditions

Abstract: The harmonic distortion generated when a fluid line is terminated by a nonlinear orifice characteristic is analyzed by using a perturbation method of solution. The perturbation method is shown to be representative of the true phenomenon and to give very good quantitative as well as qualitative information by comparing the results to a numerical solution of the nonlinear equations. The results presented describe the distortion phenomenon as a function of several dimensionless ratios.

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Cited by 3 publications
(1 citation statement)
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“…The theoretical models are typically divided into models that use a step or a ramp in the measured pressure (Wildhack, 1937;Hougen et al, 1963; and models that assume sinusoidally varying pressures (Hemke. 1927;Nichols, 1962;Karam and Franke, 1967;Tijdeman, 1969;Strunk, 1971;Holmes and Lewis, 1987;Benade and Ibisi, 1987). The first models used laminar Poiseuille flow for ramped input pressures to describe the transfer function of the system (Wildhack, 1937).…”
Section: Discussion Of Available Techniquesmentioning
confidence: 99%
“…The theoretical models are typically divided into models that use a step or a ramp in the measured pressure (Wildhack, 1937;Hougen et al, 1963; and models that assume sinusoidally varying pressures (Hemke. 1927;Nichols, 1962;Karam and Franke, 1967;Tijdeman, 1969;Strunk, 1971;Holmes and Lewis, 1987;Benade and Ibisi, 1987). The first models used laminar Poiseuille flow for ramped input pressures to describe the transfer function of the system (Wildhack, 1937).…”
Section: Discussion Of Available Techniquesmentioning
confidence: 99%