A randomly fluctuating longitudinal pressure gradient of a non-Gaussian form and arbitrary power spectrum will cause a randomly fluctuating velocity to be superimposed on the steady incompressible flow in a channel. Pressure- gradient and velocity correlations, frequency response functions and system power loss are calculated. Numerical random pressure gradient signals were generated using Fourier series expansion, with random picking of discrete Fourier spectrum values and a nonlinear no memory transformation. Numerical values of the velocity signal were then calculated by linear transformation of the pressure-gradient signal. Pressure-gradient and velocity signals were compared for difference in amplitude, frequency, time lag, and probability distribution functions.
Perlmutter, M., "Effect of Randomly Fluctuating Pressure Gradients, with Arbitrarily Specified Power Spectrum and Probability Density, on Flow in Channels" (1971). Symposia on Turbulence in Liquids. 81.
Symposium on Turbulence in Liquids (1971: Oct. 4-6, Rolla, MO)
Chemical and Biochemical Engineering
Article - Conference proceedings
© 1972 University of Missouri--Rolla, All rights reserved.