Autocorrelation functions and spectra of diverse flow processes

By: Call Number: AIT Thesis no. WA-79-32 Contributor(s): Material type: TextSeries: Asian Institute of Technology. Thesis ; no. WA-79-32Publication details: Bangkok : Asian Institute of Technology, 1979Description: iv, 57 pSubject(s): Online resources: Dissertation note: Thesis (M.Eng.) - Asian Institute of Technology, 1980 Summary: The spectrum defines the distribution of energy with frequency and is useful for engineeri.ng design purposes. Frequency spectral function is obtained through the computations of Fourier transform of autocorrelation function. The autocorrelation function is a formulated representation of a random fluctuation process by the application of statistical theory. Six types of autocorrelation functions and the corresponding spectral functions are mathematically and graphically investigated in this study. After having analyzed and compared their characteristics, it is concluded that: (1) Spectrum of fluid flow (air and water) fits to type III with F - f-2 ; (2) Spectrum of unsteady flow due to tidal current fits to type V with F - f - 2 ; and (3) Spectrum of water surface fluctuation due to wave motion or spectrum of streamflow with peak values fits to types V and VI.
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20-AIT Publication Asian Institute of Technology Library AIT Publications AIT Thesis no. WA-79-32 (Browse shelf(Opens below)) 1 Available 30050003068789
20-AIT Publication Asian Institute of Technology Library AIT Publications AIT Thesis no. WA-79-32 (Browse shelf(Opens below)) 2 Available 30050003068797
40-Archives Asian Institute of Technology Library Archives AIT Thesis no. WA-79-32 (Browse shelf(Opens below)) Available 30050160040019
20-AIT Publication Asian Institute of Technology Library AIT Publications AIT Thesis no. WA-79-32 (Browse shelf(Opens below)) 3 Available 30050121098130

A thesis submitted in partial fulfillment of requirements for the degree of master of engineering, School of Engineering and Technology

Thesis (M.Eng.) - Asian Institute of Technology, 1980

The spectrum defines the distribution of energy with frequency and is useful for engineeri.ng design purposes. Frequency spectral function is obtained through the computations of Fourier transform of autocorrelation function. The autocorrelation function is a formulated representation of a random fluctuation process by the application of statistical theory. Six types of autocorrelation functions and the corresponding spectral functions are mathematically and graphically investigated in this study. After having analyzed and compared their characteristics, it is concluded that: (1) Spectrum of fluid flow (air and water) fits to type III with F - f-2 ; (2) Spectrum of unsteady flow due to tidal current fits to type V with F - f - 2 ; and (3) Spectrum of water surface fluctuation due to wave motion or spectrum of streamflow with peak values fits to types V and VI.

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