## Detalles de publicación

PP 06050

## On the Origin of Turbulence

Instituto de Astrofisica de Canarias

We are all familiar with the fact that a linear flow of water in a tube can be

obtained only for velocities below a certain critical limit and that, when the

velocity exceeds this limit, laminar flow ceases and a complex, irregular,

and fluctuating motion sets in. More generally than in this context of flow

through a tube, it is known that motions governed by the equations of Stokes

and Navier change into turbulent motion when a certain nondimensional constant

called the Reynolds number exceeds a certain value of the order of 1000. This Reynolds number depends

upon the linear dimension, L, of the system, the coefficient of viscosity, u,

the density, o, and the velocity v in the following manner R=ovL/u.

Following Chandrasekhar we can make us the question: What is the reason

that a phenomenon like turbulence can occur at all?. We describe the turbulence in fluids as a consequence of the inherent

discontinuity of matter. We start with the description of matter density as

a discontinuous Dirichlet integral function, and through the Euler equation

for matter conservation, we obtain a differential equation which implies a

transference of velocity (and then energy) from one eddys to others, i.e.

from one scale to another, which is one of the main observational features

of turbulence.

obtained only for velocities below a certain critical limit and that, when the

velocity exceeds this limit, laminar flow ceases and a complex, irregular,

and fluctuating motion sets in. More generally than in this context of flow

through a tube, it is known that motions governed by the equations of Stokes

and Navier change into turbulent motion when a certain nondimensional constant

called the Reynolds number exceeds a certain value of the order of 1000. This Reynolds number depends

upon the linear dimension, L, of the system, the coefficient of viscosity, u,

the density, o, and the velocity v in the following manner R=ovL/u.

Following Chandrasekhar we can make us the question: What is the reason

that a phenomenon like turbulence can occur at all?. We describe the turbulence in fluids as a consequence of the inherent

discontinuity of matter. We start with the description of matter density as

a discontinuous Dirichlet integral function, and through the Euler equation

for matter conservation, we obtain a differential equation which implies a

transference of velocity (and then energy) from one eddys to others, i.e.

from one scale to another, which is one of the main observational features

of turbulence.