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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:**

**a. Steady and unsteady flows,****b. Laminar and turbulent flows,****c. Rotational and irrotational flows,****d. Compressible and incompressible flows, and****E. Uniform and non-uniform flows.**

**a. Steady and Unsteady 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:**

- 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, - 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.

**Q2. Derive continuity equation for a 3-D steady or unsteady flow in a cartesian coordinate system**

**Q3. A 500 mm diameter pipe carrying water at rate 0.5 m**^{3}/sec branches into two pipes of 200 mm and 400 mm diameters. If the rate of flow of water through a small diameter pipe is 0.2 m^{3}/sec. Determine velocity of flow in each pipe.

^{3}/sec branches into two pipes of 200 mm and 400 mm diameters. If the rate of flow of water through a small diameter pipe is 0.2 m

^{3}/sec. Determine velocity of flow in each pipe.

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

** u = a ^{3}+ y^{2}+2z^{2},v = -x^{2}y-yz-xy**

**Q5. Sketch the streamlines represented by 🔱=x**^{2}+y^{2}, Also find out the velocity and its direction at point (1,2).

^{2}+y

^{2}, Also find out the velocity and its direction at point (1,2).

**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 ¢.**

Important Question with solutions | AKTU Quantums | Syllabus | Short Questions

## Fluid Mechanics & Fluid Machines Quantum, Syllabus, Important Questions

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