Journal ArticleDOI
Turbulent flow over a wavy boundary
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In this paper, the authors used matched asymptotic expansions in the limit of vanishing skin-friction to solve the linearized, two-dimensional flow of an incompressible fully turbulent fluid over a sinusoidal boundary.Abstract:
The linearized, two-dimensional flow of an incompressible fully turbulent fluid over a sinusoidal boundary is solved using the method of matched asymptotic expansions in the limit of vanishing skin-friction. A phenomenological turbulence model due to Saffman (1970, 1974) is utilized to incorporate the effects of the wavy boundary on the turbulence structure. Arbitrary lowest-order wave speed is allowed in order to consider both the stationary wavy wall, and the water wave moving with arbitrary positive or negative velocity. Good agreement is found with measured tangential velocity profiles and surface normal stress coefficients. The phase shift of the surface normal stress exhibits correct qualitative behavior with both positive and negative wave speeds, although predicted values are low.read more
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References
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Journal ArticleDOI
On the generation of surface waves by shear flows
TL;DR: In this paper, an approximate solution to the boundary value problem is developed for a logarithmic profile and the corresponding spectral distribution of the energy transfer coefficient calculated as a function of wave speed.
Journal ArticleDOI
Calculation of boundary-layer development using the turbulent energy equation
TL;DR: In this article, the turbulent energy equation is converted into a differential equation for the turbulent shear stress by defining three empirical functions relating the turbulent intensity, diffusion and dissipation to the stress profile.
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Shearing flow over a wavy boundary
TL;DR: In this paper, a theoretical study is made of shearing flows bounded by a simple-harmonic wavy surface, the main object being to calculate the normal and tangential stresses on the boundary.
Effects of Streamline Curvature on Turbulent Flow.
TL;DR: A review of current knowledge, a discussion of methods of predicting curvature effects, and a presentation of principles for the guidance of future workers can be found in this article, along with a progress report.
Journal ArticleDOI
A model for inhomogeneous turbulent flow
TL;DR: In this paper, a set of model equations is given to describe the gross features of a statistically steady or slowly varying inhomogeneous field of turbulence and the mean velocity distribution, based on the idea that turbulence can be characterized by "densities" which obey nonlinear diffusion equations.