Skip to main content

To verify the Bernoulli’s theorem

Also Read

Aim:- To verify the Bernoulli’s theorem.
Apparatus required:-
Portable package system Bernoulli's Theorem Apparatus.
Description about Apparatus:-


Part names:
1-9: Piezo meters (A transparent tube with scale) are connected at various cross sections of the Duct(in $mm^2$).
10: Stainless Steel duct (for low friction).
11: Single Phase motor with pump(pump capacity is 0.5 HP, single phase 20 volts, 2800 RPM and pump of size 25 mm to discharge about 15 LPM at 30 Meter total head).
12: Flow control ball valve.
13: Supply tank with piezo meter.
14: Delivery Tank with piezo meter.
15: Supply tank drain control valve.
16: Out flow Control valve.
17: Drain valve from discharge tank.
18: Discharge measuring tank (0.3m X 0.3m Area).
19: Water storage tank.
The closed circuit self sufficient portable package system Bernoulli's theorem Apparatus does not require any Foundation, trench work, etc., so that you can conduct experiment with keeping the unit anywhere.
The unit consists of supply chamber experimental duct made out of SS sheet. The interlinking duct is smoothly varying in cross-section so that the velocity of flow changes gradually for the purpose of experiments with minimum of friction loss and loss the due to turbulence. Piezometer tubes are provided at suitable intervals along with duct for the measurement of pressure head at various points. A flow control valve is provided at the exit of the Duct for adjusting and keeping different flow rate through the Apparatus. A collecting tank is provided for measurement of rate of flow. Piezometer tubes are provided at suitable intervals along with duct for measurement of pressure head at various points. A flow control valve is provided at the exit of the duct for adjusting and keeping different flow rate through the Apparatus. A collecting tank is provided for the measurement of rate of flow.

Verification of Bernoulli's theorem
Proposition 1: Bernoulli's theorem: A steady, continuous, in-compressible, non-viscous fluid flow, the total energy or total head remains constant at all the sections along the fluid flow provided there is no loss or addition of energy.
$\frac{P}{\gamma} + \frac{V^2}{2g} + Z$ = Total head = constant
Where,
$\frac{P}{\gamma}$ = Pressure head (m)
$\frac{V^2}{2g}$ = velocity or Kinetic head (m), ($V= \frac{Q}{A}$), ($Q=\frac{Volume of water collected}{Time taken to collect that much water}$)
$Z$ = potential head (Height above some assumed datum level.
Preposition 2: application of Bernoulli's theorem
Bernoulli's equation is based on Euler's equation of motion. It is applicable to flow of fluid through pipe and channel. In Euler's equation the force of viscosity is neglected. Bernoulli's equation is required to be modified if the flow is compressible & unsteady.
Concept structure

Principle
The apparatus is fitted with Piezometer tubes and scales at 9 cross sectional points, along the experimental duct at suitable intervals for measurement of pressure head. The area of flow section is written on each one of these nine sections. The velocity of flow(V) can be calculated at each of these sections from the flow rate(Q) obtained from the measuring tank that is $V=\frac{Q}{A}$ from this velocity head $\frac{V^2}{2g}$ can be calculated for each section.
For the verification of Bernoulli's Theorem, the velocity head when superposed over the hydraulic gradient gives the energy gradient must be a level line. However, in the flow of need fluid, contain losses of energy is inevitable ad this can be readily seen by plating energy gradient. Such sets of readings can be taken for different flow rated by adjusting the valve kept at the outlet.

For each set of readings:
Area of measuring tank A= Length X Breadth; time for head 100mm rise of water in seconds; Rate of flow
$Discharge = \frac{A*h}{t} \frac{m^3}{sec}$
where,
A = Area of the measuring tank in metres (0.3 m x 0.3 m)
h = Rise of water level (say 10 cm) in metres.
T = Time in seconds for rise of water level (say 10 cm).

Observation table

Comments

Thanks for your post which is truly informative for us and we will surely keep visiting this website.. cet paper pattern
donnaj edwards said…
Very informative and impressive post you have written, this is quite interesting and i have went through it completely, an upgraded information is shared, keep sharing such valuable information. iManage Financial DMS
Unknown said…
𝚝𝚑𝚊𝚗𝚔𝚜. 𝙷𝚎𝚕𝚙𝚎𝚍 𝚖𝚎 𝚊 𝚕𝚘𝚝.
This is a wonderful blog regarding the services provided in this region, the Best Neet Coaching in Chennai also provides a professional service.

Recent posts

PLUMBING Introduction Plumbing deals with the laying of a pipeline. A craftsman may be perfectly proficient with the hammer, saw and other tools, but the faces difficulties with leaking pipes and overflowing toilets. Many people rush to a plumber on seeking a tripping pipe, but a person with a little knowledge of the sanitary system can control this problem easily, saving time and, one with help of few tools. Plumbing tools The tools used by a plumber can be classified as follows Pipe wrench  Pipe vice Pipe cutter Hacksaw  Dies Files and Rasps Plumb bob Pipe wrench A pipe wrench is used for holding and turning the pipes, rods and machine prts. Wrenches are classified as follows. 1.Fixed wrenches  2. Adjustable wrenches. Pipe vice A pipe vice is fitted on the work bench. This has a set of jaws to grip the pipe and prevent it from turning while cutting, threading and fitting of bends, couplings etc. The yoke vice is co...

Isometric drawings for practice in AutoCAD

What is Isometric Drawing? Isometric drawing is a method of visually representing three-dimensional objects in two dimensions. It allows for a clear and comprehensive depiction of complex structures by keeping the scale consistent and eliminating distortion. Isometric drawings use a 30-degree angle from the horizontal in all three axes (X, Y, and Z), creating a pseudo-3D effect where the height, width, and depth are equally foreshortened. Creating Isometric Drawings in AutoCAD AutoCAD provides tools and settings that make creating isometric drawings straightforward. Here’s a step-by-step guide: Step 1: Set Up Isometric Snap/Grid 1. Enable Isometric Snap/Grid:    - Type `SNAP` in the command line and press `Enter`.    - Type `Style` and press `Enter`.    - Choose `Isometric` and press `Enter`. 2. Switch Between Isoplanes:    - Type `F5` or `CTRL+E` to toggle between the top, right, and left isoplanes. Step 2: Draw Isometric Circles and Arcs 1. Isom...

Fluid mechanics VIVA QUESTIONS and ANSWERS

1. Define density? Ans: It is defined as the ratio of mass per unit volume of the fluid. 2. Define viscosity? Ans: It is defined as the property of fluid which offers resistance to the movement of fluid over another adjacent layer of the fluid. 3. Differentiate between real fluids and ideal fluids? Ans: A fluid, which is in-compressible and is having no viscosity, is known as ideal fluid while the fluid, which possesses viscosity, is known as real fluid. 4. What is a venturimeter? Ans: It is a device which is used for measuring the rate of flow of fluid flowing through pipe. 5. What is a notch? Ans: A notch is a device used for measuring the rate of flow of a fluid through a small channel or a tank. 6. Define buoyancy? Ans: When a body is immersed in a fluid, an upward force is exerted by the fluid on the body. This upward force is equal to the weight of the fluid displaced by the body. 7. Define meta-centre? Ans: It is defined as the point about which a body...

Welding introduction

WELDING Introduction : Welding is a process of joining two similar or dissimilar metals by the application of heat with or without application of pressure and addition of filler material. The welding is extensively used in manufacturing industry, construction industry and maintenance work, replacing riveting and bolting, to a greater extent.  The various welding processes are 1. Electric arc welding 2. Gas welding 3. Thermit welding 4. Resistance welding and 5. Friction welding However only electric arc welding is discussed here. In this process, the work pieces are melted along a common edge, to their melting point and then a filler metal is introduced to form the joint on solidification. The materials to be welded must be free from rust, scale oil or other impurities, so as to obtain a sound weld. Arc Welding: In arc welding, the heat required for joining the metals is obtained from an electric arc. Transformers or motor generator sets are used as arc welding ma...

SINGLE ‘V’ BUTT JOINT

Experiment No.:                                                                                      Date: SINGLE ‘V’ BUTT JOINT Aim: To prepare a single ‘V’ Butt Joint as per dimensions given in the sketch. Material Required: Mild Steel plates: 80mm X 40mm X 6mm = 2 Nos Mild Steel electrode ¢ 3.15 mm Equipment required: A.C. Transformer with all welding accessories like Electrode holder, cables. Tool Required: Steel rule 300mm  Scriber 150mm Flat file 300mm Try square 200mm Flat Tong 450mm  Chipping hammer 200mm Ball peen hammer 750mm  Wire brush Welding screen Sequence of Operations: 1. Marking  2. Filing  3. Welding  4. Finishing Procedure: Take two Mild steel plates of size 80mm X 40mm X 6mm. Fix the wor...

FACING, PLAIN TURNING AND STEP TURNING

Ex. No :                                                                                                          Date : FACING, PLAIN TURNING AND STEP TURNING Aim                       To perform turning, facing and chamfering on a cylindrical work piece. Material used                       Mild steel cylindrical rod. Tools required Lathe Three-jaw chuck Chuck key Vernier caliper Single-point cutting tool Procedure First loosen the jaw in the chuck key to position the work piece, and then tighten the  jaws. Fix the cutting tool in the toolpost. Switch on the lath...

Welding VIVA question and answers

VIVA QUESTIONS : Q1: Define welding? Ans:  Welding is a fabrication process that joins two or more materials, typically metals or thermoplastics, by melting and fusing them together using heat or pressure. Q2: What is the typical thickness of MS Plate used in general welding workshop experiments? Ans:  The thickness of the MS (Mild Steel) plate used in general welding workshop experiments can vary depending on the specific requirements of the experiment. However, commonly used thicknesses range from 3 mm to 12 mm. Q3: What is the common job material used in welding experiments? Ans:  The common job material used in welding experiments is mild steel. It is widely available, affordable, and relatively easy to work with, making it suitable for various welding applications and practice. Q4: What is the main function of an electrode in welding? Ans:  The main function of an electrode in welding is to carry the electric current necessary for the welding process and to ...

ROCKWELL HARDNESS TEST

Aim :-To determine the Rockwell hardness for the given test specimen Equipment :-Rockwell Hardness Testing Machine,suitable indenter, test specimens. Description :-Hardness may be defined as resistance of metal to plastic deformation usually by indentation. However the term may also refer to stiffness or temper or resistance to scratch, abrasion or cutting. There are three general types of hardness measurements depending upon the manner in which the test is conducted. Scratch hardness measurement. Rebound hardness measurement. Indentation Hardness measurement. In scratch hardness method the materials are rated on their ability to scratch one another and mineralogists use it. In rebound hardness measurement, a standard body is usually dropped on to the material surface and the hardness is measured in terms of the height of its rebound. The general means of judging the hardness is the resistance of a material to indentation. Indentation hardness may be measured by various h...

step by step procedure to draw hook 2D drawing using AutoCAD

1. Create one vertical line and two horizontal lines like shown below according to dimensions. 2.Draw the circles at intersecting points like shown below with given dimensions. 3. Draw TTR (tangent tangent Radius) circles like shown below with given radius values. 4. Trim extra elements using " TR " command the final image be shown like below. 5. Now draw another reference lines and circles using TTR(tangent tangent Radius) circle according to given dimensions. 6. Now Trim the extra elements by using "TR" command. 7. Now dimension the elements using DIM command.

TIN SMITHY & Sheet metal

TIN SMITHY Introduction : Many engineering and house articles such as boxes, cans, funnels, ducts etc. are made from a flat sheet of metal. The process being known as tin smithy. For this the development of the article is first drawn on the sheet metal, then cut and folded, to form the required shape of the article. Allowance should be given in the drawing stage for folding and bending. This allowance depends upon the radius of the bend and thickness of the sheet metal. Sheet Metal Materials : A variety of metals are used in a sheet metal shop such as galvanized Iron, black, Iron, tin, Stainless Steel, copper and Aluminium. Hand Tools : The common hand tools used in sheet metal work are steel, try square, Wire gauge, Scriber, Ball peen hammer, Nylon Mallet, Snips Divider, Stakes, Cutting plier and Soldering Iron. Here, the details of tools that are being equipped by our workshop purpose only are presented. Wire Gauge: The thickness of sheet is referred in numbers known ...

Search This Blog