By A. S. Monin, A. M. Yaglom, Physics
ISBN-10: 0262130629
ISBN-13: 9780262130622
This e-book, initially released in Moscow in 1965, is of curiosity to a large clinical and technical viewers, together with geophysicists, meteorologists, aerodynamicists, chemical, mechanical, and civil engineers—in brief, all drawn to the elemental difficulties of stream, mass, and warmth move. The authors care for the speculation of hydrodynamic instability and the advance of turbulence, the applying of dimensional research, and the speculation of similarity to turbulent circulation in pipes, ducts, and boundary layers, in addition to unfastened turbulence. They talk about semiempirical theories of turbulence, increase the similarity conception for turbulence in nonhomogeneous media, and current Lagrangian features of turbulence and the speculation of turbulent diffusion. each attempt has been made to give a wealth of experimental fabric; quite a few examples are drawn from physics of the ambience, allowing a generalization of effects past that that are acquired within the laboratory. enormous consciousness has been given to Kolmogorov's conception of the neighborhood constitution of built turbulence and to the idea of turbulence in stratified media.
Contents: I. Laminar and Turbulent Motion: Equations of dynamics of a fluid and their most crucial outcomes; Hydrodynamic instability and improvement of turbulence. II. Mathematical equipment for Describing Turbulence, suggest Values and Correlation Functions: tools for taking suggest; The fields of hydrodynamic features considered as stochastic fields; The moments of hydrodynamic fields. III. The Reynolds Equation and Semiempirical Theories of Turbulence: Turbulent move in pipes and within the boundary layer; Turbulent strength stability and effects derived from it. IV. Turbulence in a Medium Stratified with recognize to Temperature: Generalization of the speculation of the logarithmic boundary layer to the case of a medium stratified with recognize to temperature; comparability of the speculation with experimental info at the atmospheric layer close to the floor. V. movement of debris (or parts) in a Turbulent Stream: Lagrangian description of Turbulence; Turbulent diffusion.
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Additional resources for Statistical Fluid Mechanics - vol 1: Mechanics of Turbulence
Sample text
However, this is not so ; to ignore the terms containing v in Eqs. ( 1 . 6) would reduce the order of these differential equations. Moreover, the solutions of the simpli fied eq4ations of an ideal fluid thus obtained would no longer satisfy the "no slip " boundary conditions which require that the velocity vanish upon all rigid surfaces bounded by the fluid. At the same time , we know that for a viscous fluid (however small the viscosity) "adhesion " is bound to take place . Therefore, in the motion of a viscous fluid with a large Reynolds number, only at a distance from the rigid walls does the flow be come close to that which would occur in the case of an ideal fluid (with zero viscosity ) ; close to the walls a thin layer exists in which the velocity of the flow changes very rapidly from zero on the wall to the value on the outer boundary of the layer.
I = - J pn 1 d 'f. + F,, ( 1 . 1 0) ll where n; is the component of the unit vector of the outward normal to the surface , and F; is the integral of a;1in1i over the surface of the body . The first term on the right side of Eq . ( 1 . 1 0) describes the transfer of momentum to the body by the pressure forces and is independent of the viscosity of the fluid . , in the case of flow along a flat plate or flows in straight tubes) this component is equal to zero. The second component Fi represents the skin friction drag, which in a viscous fluid is always nonzero.
We have done I N T R O D U CT I O N 23 this to give the reader a sufficiently complete picture of the present state of investigations in the theory of turbulence, to aid him in finding the necessary in formation, and , as it were , give him his bearings on the infinite sea of books and papers. In a number of places throughout the book we have even included brief surveys of the literature, in which we have tried, as far as possible to give a short description of the content of a considerable number of typical works referring to the particular section of the theory under discussion.
Statistical Fluid Mechanics - vol 1: Mechanics of Turbulence by A. S. Monin, A. M. Yaglom, Physics
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