Kármán-Howarth equation
Encyclopedia
In isotropic turbulence
the Kármán-Howarth equation (after Theodore von Kármán
and Leslie Howarth 1938), which is derived from the Navier-Stokes equations
, is used to describe the evolution of non-dimensional longitudinal autocorrelation
.
Turbulence
In fluid dynamics, turbulence or turbulent flow is a flow regime characterized by chaotic and stochastic property changes. This includes low momentum diffusion, high momentum convection, and rapid variation of pressure and velocity in space and time...
the Kármán-Howarth equation (after Theodore von Kármán
Theodore von Karman
Theodore von Kármán was a Hungarian-American mathematician, aerospace engineer and physicist who was active primarily in the fields of aeronautics and astronautics. He is responsible for many key advances in aerodynamics, notably his work on supersonic and hypersonic airflow characterization...
and Leslie Howarth 1938), which is derived from the Navier-Stokes equations
Navier-Stokes equations
In physics, the Navier–Stokes equations, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of fluid substances. These equations arise from applying Newton's second law to fluid motion, together with the assumption that the fluid stress is the sum of a diffusing viscous...
, is used to describe the evolution of non-dimensional longitudinal autocorrelation
Autocorrelation
Autocorrelation is the cross-correlation of a signal with itself. Informally, it is the similarity between observations as a function of the time separation between them...
.
See also
- Kármán–Howarth–Monin equation (Andrei MoninAndrei MoninAndrei Sergeevich Monin was a Russian physicist, applied mathematician, and oceanographer. Monin was known for his contribution to statistical theory of turbulence and atmospheric physics. He served as the Director of the P.P. Shirshov Institute of Oceanology of the USSR Academy of Sciences...
's anisotropic generalization of the Kármán–Howarth relation)