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 m3/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 m3/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 = a3+ y2+2z2,v = -x2y-yz-xy
Q5. Sketch the streamlines represented by 🔱=x2+y2, 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
|Question paper – 2021-22
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