# UNIT02 Types of Fluid Flow and  Continuity Equation in Fluid Mechanics & Fluid Machines AKTU

In This Blog, We are discussing for UNIT02 Types of Fluid Flow and  Continuity Equation in Fluid Mechanics & Fluid Machines AKTU. Hope you will enjoy this blog and this blog will help you in your upcoming exams.

```Dudes 🤔.. You want more useful details regarding this subject. Please keep in mind this as well.

Important Questions For Fluid Mechanics & Fluid Machines :
*Unit-01     *Unit-02
*Unit-03    *Unit-04
*Unit-05    *Short-Q/Ans
*Question-Paper with solution 21-22 ```

## Q1. Explain the following with example:

• b. Laminar and turbulent flows,
• c. Rotational and irrotational flows,
• d. Compressible and incompressible flows, and
• E. Uniform and non-uniform flows.

• Steady flow is that type of flow in which the fluid characteristics like velocity, pressure, density, etc., at a point do not change with time. Mathematically,

Example: Flow of liquid through a long pipe of constant diameter at a constant rate.

• Unsteady flow is that type of flow in which the velocity, pressure, density, etc, at a point changes with respect to time. Mathematically,

Example: Flow of liquid through a long pipe of constant diameter at either increasing or decreasing rate.

b. Laminar and Turbulent Flows:

• Laminar flow is one in which the fluid particles move along well-defined paths or stream line and all the stream-lines are straight and parallel.
• Example:Flow through a capillary tube.
• Turbulent flow is that type of flow in which the particles move in a zig-2ag way.
• Example: Flow in natural streams, artificial channels, sewers etc.

c. Rotational and Irrotational Flows:

1. Rotational flow is that type of flow in which the fluid particles while flowing along stream lines also rotate about their own axis.
Example: Flow of liquid in the rotating tanks,
2. If the fluid particles while flowing along stream lines, do not rotate about their own axis that type of flow is called irrotational flow.
Example: Flow over a drain hole of a stationary tank or a wash basin.

d. Compressible and Incompressible Flows:

• Compressible flow is that type of flow in which the density of the fluid changes from point to point.

Examples : Flow of gases through orifices nozzles, gas turbines ete.

2 Incompressible flow is that type of flow in which the density is constant for the fluid flow.

Examples: Subsonic, aerodynamics.

## Q4.Two velocity components are given in the following equations, find the third component such that they satisfy the continuity equation:

u = a3+ y2+2z2,v = -x2y-yz-xy

## Q6.The velocity components in for a two-dimensional flow field incompressible fluid are expressed as

Show that these 3 functions represent irrotational flow.

b. Obtain an expression for stream function 🔱.

C. Obtain an expression for velocity potential ¢.