Motion of Fluid Particles : Mechanical Theory

A fluid consists of an innumerable number of particles and relative positions are never fixed. Whenever upload is in motion these particles move along certain lines, depending upon the characteristic of the fluid and the shape of the passage through to reach the fluid particles move.

*Theory Mechanical*

For complete analysis of the fluid motion it is necessary to observe the motion of the fluid particles at various point and times. For The mathematical analysis of the blood motion following two method are generally used:-

1. Lagrangian method:-

It deals with the study of flow pattern of the individual particle. In this method the parts pressed by a particle under consideration with the passage of time is studied in detail.

2. Eulerian method:-

 It deals with the study of flow pattern of all the particles simultaneously at one section, in this method the path traced by all particle at one section one time are studied in detail.

Some Important Topic of Motion of Fluid Particles:-

1. The generally example to explain both the method is the study of movement of a number of vehicles on a busy road. The Lagrangian method deals with the the the study of of the movement of only one vehicle through a specified distance. The Eulerian method deals with the study of movement of all the vehicles on the road at one section and at one instant.

2. In the study of hydraulics fluid mechanics and astrophysics the variance method is commonly used because of its mathematical simplicity. Moreover in fluid mechanics the movement of an individual fluids particles is not of much importance.

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