Relationships between the acceleration- and the vorticity fields
Important relationships can be obtained for the fluid flow by examining some of the obvious identities relating to the acceleration, vorticity, dilatation and shape deformation. As is well-known, acceleration can be written…
Rotational motion, vorticity field
In order to illustrate this concept, we consider a typical fluid element of certain volume at any arbitrary time as shown in Fig. 3.2.1. After certain time interval, it has…
Motion of an infinitesimal fluid particle
Imagine an infinitesimal rectangular fluid particle of fixed identity in a flowing fluid. Its sides dx, dy and dz are parallel to the coordinate axes. Let one of its corners at a…
The acceleration field
The acceleration is the rate of change of the velocity experienced by a moving particle. It can be expressed as the time derivative of the velocity: Acceleration vectors form an…
The velocity field
In contrast to the Lagrangian description, the Eulerian treatment does not trace individual particles in the flow. It rather describes what happens at every fixed point in the flow space…
Eulerian and Lagrangian description of fluid motion
Fluid flow is the characteristic form of motion of fluid continua, an intuitive mechanical concept based on direct experimental observations. Mathematically it means the continuous transformation of three-dimensional Euclidean space…
FLOW PROPERTIES OF FLUIDS
The fluid state It is an everyday experience that all matter exists in either the fluid or the solid state. This also invariably applies under the physical circumstances of hydrocarbon…
Why is conservation of natural resources important?
A resource is any natural or artificial substance or energy which can be used for the benefits of mankind. Natural resources are those which exist in the environment naturally, that…
Coal and Petroleum
Introduction · The resources, which are present in unlimited quantity in nature and are not likely to be exhausted by human activities, are known as Inexhaustible Natural Resources. E.g. sunlight, air. · The…
