What are the equations of motion in fluid mechanics?
Table of Contents
What are the equations of motion in fluid mechanics?
The equation of motion is an expression of Newtons second law of motion: mass × acceleration = force. To apply this law we must focus our attention on a particular element of fluid, say the small rectangular element which at time t has vertex at P [= (x, y, z)] and edges of length δx, δy, δz.
What are the types of fluid motions?
Types of Fluid Flow
- Steady and Unsteady flow.
- Uniform and non-uniform flow.
- One, two and three-dimensional flow.
- Rotational or irrotational flow.
- Laminar or Turbulent flow.
- Compressible or Incompressible flow.
What is motion in fluids?
Fluids in Motion. All fluids are assumed in this treatment to exhibit streamline flow. • Streamline flow is the motion of a fluid in which every particle in the fluid follows the same path past a particular point as that followed by previous particles.
What is Euler’s equation of motion?
The Euler’s equation for a steady flow of an ideal fluid along a streamline is a relation between the velocity, pressure and density of a moving fluid. It is based on the Newton’s Second Law of Motion which states that if the external force is zero, linear momentum is conserved.
What are the different types of fluids explain each type?
Tabular representation of fluid types:
| Types of fluid | Density | Viscosity |
|---|---|---|
| Real fluid | Variable | Non zero |
| Newtonian fluid | Constant/ Variable | T = u(du/dy) |
| Non Newtonian fluid | Constant/ Variable | T ≠ u(du/dy) |
| Incompressible fluid | Constant | Non zero/zero |
What are the seven classification of fluid flow?
liquid flow through a long pipe at a constant rate is steady uniform flow; liquid flow through a long pipe at a decreasing rate is unsteady uniform flow; flow through an expanding tube at a constant rate is steady nonuniform flow; flow through an expanding tube at an increasing rate is unsteady nonuniform flow.
Which is the best example of a fluid in motion?
A river flowing down a mountain; air passing over a bird’s wing; blood moving through a circulatory system; fuel moving through an engine. These are all examples of fluid flow.
How do you calculate the speed of a liquid?
Figure 1. Flow rate is the volume of fluid per unit time flowing past a point through the area A. Here the shaded cylinder of fluid flows past point P in a uniform pipe in time t. The volume of the cylinder is Ad and the average velocity is ¯¯¯v=d/t v ¯ = d / t so that the flow rate is Q=Ad/t=A¯¯¯v Q = Ad / t = A v ¯ .
Which is the second equation of motion?
The second equation of motion gives the displacement of an object under constant acceleration: x = x 0 + v 0 t + 1 2 a t 2 . x = x_0 + v_0 t + \frac{1}{2}at^{2}.