Open Access
February, 1967 Random Hydrodynamic Forces on Objects
Leon E. Borgman
Ann. Math. Statist. 38(1): 37-51 (February, 1967). DOI: 10.1214/aoms/1177699057


The force exerted on an object immersed in a flowing turbulent fluid is considered as a zero-memory, nonlinear transformation of the bivariate Gaussian process whose components are the fluid particle velocities and local accelerations that would be present at the location of the object if the object were not disturbing the fluid. A model often used in applications is assumed and the probability density and the moment generating function are derived and investigated. The covariance between the forces at two space-time points in the presence of a space-varying mean flow is developed and a series approximation outlined. Under suitable restrictions the partial sums of the series are used to obtain an easily computed approximation to the spectral density of the force at a fixed space location.


Download Citation

Leon E. Borgman. "Random Hydrodynamic Forces on Objects." Ann. Math. Statist. 38 (1) 37 - 51, February, 1967.


Published: February, 1967
First available in Project Euclid: 27 April 2007

zbMATH: 0158.23509
MathSciNet: MR205555
Digital Object Identifier: 10.1214/aoms/1177699057

Rights: Copyright © 1967 Institute of Mathematical Statistics

Vol.38 • No. 1 • February, 1967
Back to Top