80 citations · 290 across the 14 of their papers we have counts for
14 papers
A mathematical model of turbulent drag reduction by high-molecular-weight polymeric additives in a shear flow
Grigory Isaakovich Barenblatt
Drag reduction, or, what is the same, mean velocity increase in a turbulent flow at a fixed pressure drop through the addition of tiny amounts (several parts per million) of high m…
Nonlinear Diffusion and Image Contour Enhancement
G. I. Barenblatt, J. L. Vazquez
The theory of degenerate parabolic equations of the forms \[ u_t=(Φ(u_x))_{x} \quad {\rm and} \quad v_{t}=(Φ(v))_{xx} \] is used to analyze the process of contour enhancement in im…
A Model of a Turbulent Boundary Layer With a Non-Zero Pressure Gradient
G. I. Barenblatt, A. J. Chorin, V. M. Prostokishin
According to a model of the turbulent boundary layer proposed by the authors, in the absence of external turbulence the intermediate region between the viscous sublayer and the ext…
A Note Concerning the Turbulent Boundary Layer Drag at Large Reynolds Numbers
G. I. Barenblatt, A. J. Chorin, V. M. Prostokishin
A correlation is obtained for the drag coefficient of the turbulent boundary layer as a function of the effective boundary layer Reynolds number that we previously int…
Self-Similar Intermediate Asymptotics for a Degenerate Parabolic Filtration-Absorption Equation
G. I. Barenblatt, M. Bertsch, A. E. Chertock +1
The equation is known in literature as a qualitative mathematical model of some biological phenomena. Here this equation is…
The Characteristic Length Scale of the Intermediate Structure in Zero-Pressure-Gradient Boundary Layer Flow
G. I. Barenblatt, A. J. Chorin, V. M. Prostokishin
In a turbulent boundary layer over a smooth flat plate with zero pressure gradient, the intermediate structure between the viscous sublayer and the free stream consists of two laye…