# Definition of turbulent relationship

### What is the meaning of turbulent relationship

strengths of these different scale eddies define the turbulent spectrum (see next . Similarly we can define correlation as rAB = a/b//σAσB. A complete description of a turbulent variable v at a given location and instant in . Therefore, it is necessary to define joint probability density functions. (JPDF) of their variances) is called the correlation function r(u, v) and is used to quantify. relationship meaning, definition, what is relationship: the way in which two to an end two years ago.a stormy/turbulent relationship (=one that involves many.

In normal individuals, heart sounds are a product of turbulent flow as heart valves close. However, in some conditions turbulent flow can be audible due to other reasons, some of them pathological. For example, in advanced atherosclerosisbruits and therefore turbulent flow can be heard in some vessels that have been narrowed by the disease process.

Recently, turbulence in porous media became a highly debated subject. The jet exhibits a wide range of length scales, an important characteristic of turbulent flows. Turbulence is characterized by the following features: Irregularity Turbulent flows are always highly irregular.

For this reason, turbulence problems are normally treated statistically rather than deterministically. Turbulent flow is chaotic.

However, not all chaotic flows are turbulent. Diffusivity The readily available supply of energy in turbulent flows tends to accelerate the homogenization mixing of fluid mixtures. The characteristic which is responsible for the enhanced mixing and increased rates of mass, momentum and energy transports in a flow is called "diffusivity".

Turbulent diffusion is usually described by a turbulent diffusion coefficient. This turbulent diffusion coefficient is defined in a phenomenological sense, by analogy with the molecular diffusivities, but it does not have a true physical meaning, being dependent on the flow conditions, and not a property of the fluid itself. In addition, the turbulent diffusivity concept assumes a constitutive relation between a turbulent flux and the gradient of a mean variable similar to the relation between flux and gradient that exists for molecular transport.

- Turbulence

In the best case, this assumption is only an approximation. Nevertheless, the turbulent diffusivity is the simplest approach for quantitative analysis of turbulent flows, and many models have been postulated to calculate it. For instance, in large bodies of water like oceans this coefficient can be found using Richardson 's four-third power law and is governed by the random walk principle.

In rivers and large ocean currents, the diffusion coefficient is given by variations of Elder's formula. Rotationality Turbulent flows have non-zero vorticity and are characterized by a strong three-dimensional vortex generation mechanism known as vortex stretching.

**What Is Being Turbulent?**

In fluid dynamics, they are essentially vortices subjected to stretching associated with a corresponding increase of the component of vorticity in the stretching direction—due to the conservation of angular momentum. On the other hand, vortex stretching is the core mechanism on which the turbulence energy cascade relies to establish the structure function. As a result, the radial length scale of the vortices decreases and the larger flow structures break down into smaller structures.

The process continues until the small scale structures are small enough that their kinetic energy can be transformed by the fluid's molecular viscosity into heat.

### Turbulent - Definition for English-Language Learners from Merriam-Webster's Learner's Dictionary

This is why turbulence is always rotational and three dimensional. For example, atmospheric cyclones are rotational but their substantially two-dimensional shapes do not allow vortex generation and so are not turbulent.

On the other hand, oceanic flows are dispersive but essentially non rotational and therefore are not turbulent. Dissipation To sustain turbulent flow, a persistent source of energy supply is required because turbulence dissipates rapidly as the kinetic energy is converted into internal energy by viscous shear stress.

## Turbulent Flow

Turbulence causes the formation of eddies of many different length scales. Most of the kinetic energy of the turbulent motion is contained in the large-scale structures. The energy "cascades" from these large-scale structures to smaller scale structures by an inertial and essentially inviscid mechanism.

This process continues, creating smaller and smaller structures which produces a hierarchy of eddies. Eventually this process creates structures that are small enough that molecular diffusion becomes important and viscous dissipation of energy finally takes place.

Alternatively, at a given perfusion pressure, turbulence leads to a decrease in flow. Turbulence does not begin to occur until the velocity of flow becomes high enough that the flow lamina break apart. Therefore, as blood flow velocity increases in a blood vessel or across a heart valve, there is not a gradual increase in turbulence.

Instead, turbulence occurs when a critical Reynolds number Re is exceeded. Reynolds number is a way to predict under ideal conditions when turbulence will occur.

The equation for Reynolds number is: Therefore, high velocities and low blood viscosity as occurs with anemia due to reduced hematocrit are more likely to cause turbulence. An increase in diameter without a change in velocity also increases Re and the likelihood of turbulence; however, the velocity in vessels ordinarily decreases disproportionately as diameter increases.

The reason for this is that flow F equals the product of mean velocity V times cross-sectional area Aand area is proportionate to radius squared; therefore, the velocity at constant flow is inversely related to radius or diameter squared. For example, if radius or diameter is doubled, the velocity decreases to one-fourth its normal value, and Re decreases by one-half. Under ideal conditions e.