Autocorrelation functions and spectra of diverse flow processes

Chen, Wei-chiang

Autocorrelation functions and spectra of diverse flow processes - Bangkok : Asian Institute of Technology, 1979 - iv, 57 p. - Thesis ; no. WA-79-32 . - Asian Institute of Technology. Thesis ; no. WA-79-32 .

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.


Wave mechanics
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