Search Results - Springer

Article

Kolmogorov–Obukhov Phenomenon in Turbulence

Some little-known facts in the history of the theory of locally isotropic turbulence are considered.

G. I. Barenblatt in Izvestiya, Atmospheric and Oceanic Physics (2018)

Article

Similarity criteria and scales for crystals

Physical nature is discussed of the universal crystal linear nanoscale introduced previously by G.I. Barenblatt and P. Monteiro. Connection is demonstrated of this scale with the quantum uncertainty relation.

G. I. Barenblatt, G. S. Golitsyn in Physical Mesomechanics (2017)

Article

A mathematical model of gas outflow from gas-saturated ice and gas hydrates

This paper considers gas outflow from the agglomerate composed of gas-saturated ice, free gas, and gas hydrates. The agglomerate is considered to be a multicomponent continuous medium.

G. I. Barenblatt, L. I. Lobkovsky, R. I. Nigmatulin in Doklady Earth Sciences (2016)

Article

Universality of the linear nanoscale

Based on our analysis of factual material (27 various crystals), we have shown the universality of the linear scale composed of Planck’s constant, the density, and Young’s modulus by the dimensional method. Th...

G. I. Barenblatt, G. S. Golitsyn, N. N. Eremin, V. S. Urusov in Doklady Physics (2014)

Article

On a boundary layer problem related to the gas flow in shales

The development of gas deposits in shales has become a significant energy resource. Despite the already active exploitation of such deposits, a mathematical model for gas flow in shales does not exist. Such a ...

G. I. Barenblatt, P. J. M. Monteiro, C. H. Rycroft in Journal of Engineering Mathematics (2014)

Article

In Memoriam

G. I. Barenblatt in Transport in Porous Media (2010)

Article

Scaling Phenomena in Fatigue and Fracture

The general classification of scaling laws will be presented and the basic concepts of modern similarity analysis – intermediate asymptotics, complete and incomplete similarity – will be introduced and discuss...

G. I. Barenblatt in International Journal of Fracture (2006)

Chapter and Conference Paper

Scaling phenomena in fatigue and fracture

The general classification of scaling laws will be presented and the basic concepts of modern similarity analysis - intermediate asymptotics, complete and incomplete similarity - will be introduced and discuss...

G. I. Barenblatt in Advances in Fracture Research (2006)

Article

On Vertical Diffusion of Gases in a Horizontal Reservoir

Exact and approximate solutions to vertical diffusion in gravity-stable, ideal gas mixtures in gas reservoirs, depleted oil reservoirs, or drained aquifers are presented, and characteristic times of diffusion ...

T. W. Patzek, D. B. Silin, S. M. Benson, G. I. Barenblatt in Transport in Porous Media (2003)

Article

The 1999 James Lighthill Memorial Paper: Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers

Deep ideas of Sir James Lighthill concerning turbulent flows are discussed in the beginning. The scaling laws for large-Reynolds-number flows are presented in their historical development. The underlying hypot...

G.I. Barenblatt in Journal of Engineering Mathematics (1999)

Article

Turbulence: An Old Challenge and New Perspectives

Turbulence at very large Reynolds numbers (often called developed turbulence) is widely considered to be one of the happier provinces of the turbulence realm, as it is widely thought that two of its basic resu...

G.I. Barenblatt, A.J. Chorin in Meccanica (1998)

Article

Intermediate asymptotics, scaling laws and renormalization group in continuum mechanics

Scaling laws and self-similar solutions are very popular concepts in modern continuum mechanics. In the present paper these concepts are analyzed both from the viewpoint of intermediate asymptotics, known in c...

G. I. Barenblatt in Meccanica (1993)

Chapter

Some General Aspects of Fracture Mechanics

Two basic concepts of fracture mechanics are considered in these lectures. The first is what is the fracture phenomenon from the mathematical viewpoint? It is shown that fracture is not a local, but global eve...

G. I. Barenblatt in Modeling of Defects and Fracture Mechanics (1993)

Chapter and Conference Paper

Instability and Turbulence

The instability in a shear flow together with the transition to a turbulent regime is considered taking besides the usual small-amplitude and long-scale disturbances also the small-scale and small-amplitude tu...

G. I. Barenblatt in Nonlinear Waves in Active Media (1989)

Article

Evolution of a turbulent burst

A complete solution of the problem of symmetric turbulent burst decay in a quiescent fluid is obtained using the semiempirical theory of turbulence.

G. I. Barenblatt, N. L. Galerkina, M. V. Luneva in Journal of engineering physics (1987)

Article

Nonequilibrium counterflow capillary impregnation

A model of capillary impregnation, taking account of disequilibrium of the phase permeabilities, is constructed on the basis of a general scheme of nonequilibrium two-phase filtration proposed in [3]; see also...

G. I. Barenblatt, A. A. Gil'man in Journal of engineering physics (1987)

Article

Similarity methods in the mechanics and physics of fracture

G. I. Barenblatt, L. R. Botvina in Soviet materials science : a transl. of Fi… (1986)

Chapter and Conference Paper

On the Structure of Wave Fronts in Nonlinear Dissipative Media

Wave fronts are well known to be the regions of space where the properties of motion vary sharply in a certain direction. This means that one of the components of the gradients of density, velocity, stress, etc.,...

G. I. Barenblatt, M. Ya. Ivanov… in The Breadth and Depth of Continuum Mechani… (1986)

Article