FAIR USE AND DISCLAIMER
• THIS PRESENTATION MAY CONTAIN COPYRIGHTED MATERIALS THE
USE OF WHICH HAS NOT BEEN SPECIFICALLY AUTHORIZED BY THE
COPYRIGHT OWNER. THIS OPERATES UNDER ASSUMPTION THAT THIS
IS NOT FOR COMMERCIAL PURPOSE AND ONLY FAIR USE OF
COPYWRIGHT MATERIALS AS PROVIDED FOR IN TITLE 17, CHAPTER 1
SECTION 107 OF THE US COPYRIGHT LAW.
• THIS IS MADE FOR ALL AGE AUDIENCE
INTRODUCTION
TO
EQUATION OF
CONTINUITY
INTRODUCTION
TO
EQUATION OF
CONTINUITY
BY
CL311 TECHNICAL WRITING
CHEMICAL ENGG. IIT GUWAHATI
ACKNOWLEDGING : Prof. Raghvendra Gupta
SHUBHAM KUMAR GUPTA
180107058
source deephive
FLUIDS IN MOTION
FLUIDS IN MOTION
FLUIDS IN MOTION
FLUIDS IN MOTION
FLUIDS IN MOTION
1. Incompressible
Its density can’t be changed
source evancom
FLUIDS IN MOTION
source pinterest
Fill 8 kg water into 4 kg container
FLUIDS IN MOTION
1. Incompressible
Its density can’t be changed
2. Laminar
A steady, constant flow
source evancom
source youtube
LAMINAR FLOW OF WATER
FLUIDS IN MOTION
1. Incompressible
Its density can’t be changed
2. Laminar
A steady, constant flow
FLUIDS IN MOTION
3. Non-Viscous
There is no resistance to flow
source evancom
VISCOCITY
The resistance to flow
FLUIDS IN MOTION
HONEY
source pinterest
WATER
source pinterest
FLUIDS IN MOTION
HONEY
source pinterest
THE EQUATION OF CONTINUITY
source pinterest
Nozzle when half closed
THE EQUATION OF CONTINUITY
source cyberprint
Valid for any types of pipe
THE EQUATION OF CONTINUITY
Fluid flowing inside pipe
source cyberprint
THE EQUATION OF CONTINUITY
Fluid flowing inside pipe
source cyberprint
THE EQUATION OF CONTINUITY
Fluid flowing inside pipe
source cyberprint
THE EQUATION OF CONTINUITY
Continuity equation says that flow rate has the same value
at every position along a tube that has a single entry and a
single exit for fluid flow.
source cyberprint
Fluid flowing inside pipe
THE EQUATION OF CONTINUITY
source pinterest
Garden hose when nozzle
THE EQUATION OF CONTINUITY
𝑴 𝟏 = 𝑴 𝟐
The Equation of Continuity
Formulation
source pinterest
THE EQUATION OF CONTINUITY
𝑴 𝟏 = 𝑴 𝟐
The Equation of Continuity
𝑴 = 𝒎𝒂𝒔𝒔
Formulation
source pinterest
THE EQUATION OF CONTINUITY
𝝆 𝟏 𝑽 𝟏 = 𝝆 𝟐 𝑽 𝟐
The Equation of Continuity
Formulation
source pinterest
THE EQUATION OF CONTINUITY
𝝆 𝟏 𝑽 𝟏 = 𝝆 𝟐 𝑽 𝟐
The Equation of Continuity
𝝆 = 𝒅𝒆𝒏𝒔𝒊𝒕𝒚
𝑽 = 𝒗𝒐𝒍𝒖𝒎𝒆 Formulation
source pinterest
THE EQUATION OF CONTINUITY
The Equation of Continuity
𝝆 = 𝒅𝒆𝒏𝒔𝒊𝒕𝒚
𝑨 = 𝒂𝒓𝒆𝒂
𝒙 = 𝒉𝒊𝒆𝒈𝒕𝒉 𝒐𝒇 𝒑𝒊𝒑𝒆
𝝆 𝟏 𝑨 𝟏 𝒙 𝟏 = 𝝆 𝟐 𝑨 𝟐 𝒙 𝟐
Formulation
source pinterest
THE EQUATION OF CONTINUITY
The Equation of Continuity
𝝆 = 𝒅𝒆𝒏𝒔𝒊𝒕𝒚
𝑨 = 𝒂𝒓𝒆𝒂
𝒗 = 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚
𝒕 = 𝒕𝒊𝒎𝒆
𝝆 𝟏 𝑨 𝟏(𝒗 𝟏Δ𝒕 𝟏) = 𝝆 𝟐 𝑨 𝟐(𝒗 𝟐Δ𝒕 𝟐)
Formulation
source pinterest
THE EQUATION OF CONTINUITY
𝒗 𝟏 𝑨 𝟏 = 𝒗 𝟐 𝑨 𝟐
The Equation of Continuity
Formulation
source pinterest
THE EQUATION OF CONTINUITY
The Equation of Continuity
𝒗 𝟏 𝑨 𝟏 = 𝒗 𝟐 𝑨 𝟐
𝒗 = 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚
𝑨 = 𝒂𝒓𝒆𝒂 Formulation
source pinterest
THE EQUATION OF CONTINUITY
The Equation of Continuity
𝒗 𝟏 𝑨 𝟏 = 𝒗 𝟐 𝑨 𝟐
Formulation
source pinterest
THE EQUATION OF CONTINUITY
The Equation of Continuity
𝒗 𝜶
𝟏
𝑨
Formulation
source pinterest
𝑨
THE EQUATION OF CONTINUITY
𝑨 𝒗
𝑯𝒊𝒈𝒉𝒆𝒓 𝒂𝒓𝒆𝒂, 𝒍𝒐𝒘𝒆𝒓 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚
source cliparts
MOTOR HOSE SIMULATION
𝑨 𝒗
𝑳𝒐𝒘𝒆𝒓 𝒂𝒓𝒆𝒂, 𝒉𝒊𝒈𝒉𝒆𝒓 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚
THE EQUATION OF CONTINUITY
MOTOR HOSE SIMULATION
source cliparts
THE EQUATION OF CONTINUITY
Conclusion
•Continuity Equation says for ideal fluid, speeds up
going to smaller opening, slows down going to larger
opening
•Velocity of fluid which is incompressible Inverse with
area of the pipe where the fluids are flowing
THE EQUATION OF CONTINUITY
Sources & Citations
• Fluid mechanics for chemical engineers Book by James O. Wilkes
• Fluid mechanics for chemical engineers Book by Mathieu Mory
• https://en.wikipedia.org/wiki/Fluid_dynamics
• http://ctmd.oum.edu.my/v2/tut orkits/
• Fluid dynamics of sprinkler systems:
https://www.cabdirect.org/cabdirect/abstract/19811964663
• Author(s) : Heermann, D. F. ; Kohl, R. A.
• Editors : Jensen, M. E.
Thank You!!

Equation of continuity

  • 1.
    FAIR USE ANDDISCLAIMER • THIS PRESENTATION MAY CONTAIN COPYRIGHTED MATERIALS THE USE OF WHICH HAS NOT BEEN SPECIFICALLY AUTHORIZED BY THE COPYRIGHT OWNER. THIS OPERATES UNDER ASSUMPTION THAT THIS IS NOT FOR COMMERCIAL PURPOSE AND ONLY FAIR USE OF COPYWRIGHT MATERIALS AS PROVIDED FOR IN TITLE 17, CHAPTER 1 SECTION 107 OF THE US COPYRIGHT LAW. • THIS IS MADE FOR ALL AGE AUDIENCE
  • 2.
  • 3.
    INTRODUCTION TO EQUATION OF CONTINUITY BY CL311 TECHNICALWRITING CHEMICAL ENGG. IIT GUWAHATI ACKNOWLEDGING : Prof. Raghvendra Gupta SHUBHAM KUMAR GUPTA 180107058
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
    FLUIDS IN MOTION 1.Incompressible Its density can’t be changed source evancom
  • 9.
    FLUIDS IN MOTION sourcepinterest Fill 8 kg water into 4 kg container
  • 10.
    FLUIDS IN MOTION 1.Incompressible Its density can’t be changed 2. Laminar A steady, constant flow source evancom
  • 11.
    source youtube LAMINAR FLOWOF WATER FLUIDS IN MOTION
  • 12.
    1. Incompressible Its densitycan’t be changed 2. Laminar A steady, constant flow FLUIDS IN MOTION 3. Non-Viscous There is no resistance to flow source evancom
  • 13.
    VISCOCITY The resistance toflow FLUIDS IN MOTION HONEY source pinterest WATER source pinterest
  • 14.
  • 15.
    THE EQUATION OFCONTINUITY source pinterest Nozzle when half closed
  • 16.
    THE EQUATION OFCONTINUITY source cyberprint Valid for any types of pipe
  • 17.
    THE EQUATION OFCONTINUITY Fluid flowing inside pipe source cyberprint
  • 18.
    THE EQUATION OFCONTINUITY Fluid flowing inside pipe source cyberprint
  • 19.
    THE EQUATION OFCONTINUITY Fluid flowing inside pipe source cyberprint
  • 20.
    THE EQUATION OFCONTINUITY Continuity equation says that flow rate has the same value at every position along a tube that has a single entry and a single exit for fluid flow. source cyberprint Fluid flowing inside pipe
  • 21.
    THE EQUATION OFCONTINUITY source pinterest Garden hose when nozzle
  • 22.
    THE EQUATION OFCONTINUITY 𝑴 𝟏 = 𝑴 𝟐 The Equation of Continuity Formulation source pinterest
  • 23.
    THE EQUATION OFCONTINUITY 𝑴 𝟏 = 𝑴 𝟐 The Equation of Continuity 𝑴 = 𝒎𝒂𝒔𝒔 Formulation source pinterest
  • 24.
    THE EQUATION OFCONTINUITY 𝝆 𝟏 𝑽 𝟏 = 𝝆 𝟐 𝑽 𝟐 The Equation of Continuity Formulation source pinterest
  • 25.
    THE EQUATION OFCONTINUITY 𝝆 𝟏 𝑽 𝟏 = 𝝆 𝟐 𝑽 𝟐 The Equation of Continuity 𝝆 = 𝒅𝒆𝒏𝒔𝒊𝒕𝒚 𝑽 = 𝒗𝒐𝒍𝒖𝒎𝒆 Formulation source pinterest
  • 26.
    THE EQUATION OFCONTINUITY The Equation of Continuity 𝝆 = 𝒅𝒆𝒏𝒔𝒊𝒕𝒚 𝑨 = 𝒂𝒓𝒆𝒂 𝒙 = 𝒉𝒊𝒆𝒈𝒕𝒉 𝒐𝒇 𝒑𝒊𝒑𝒆 𝝆 𝟏 𝑨 𝟏 𝒙 𝟏 = 𝝆 𝟐 𝑨 𝟐 𝒙 𝟐 Formulation source pinterest
  • 27.
    THE EQUATION OFCONTINUITY The Equation of Continuity 𝝆 = 𝒅𝒆𝒏𝒔𝒊𝒕𝒚 𝑨 = 𝒂𝒓𝒆𝒂 𝒗 = 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚 𝒕 = 𝒕𝒊𝒎𝒆 𝝆 𝟏 𝑨 𝟏(𝒗 𝟏Δ𝒕 𝟏) = 𝝆 𝟐 𝑨 𝟐(𝒗 𝟐Δ𝒕 𝟐) Formulation source pinterest
  • 28.
    THE EQUATION OFCONTINUITY 𝒗 𝟏 𝑨 𝟏 = 𝒗 𝟐 𝑨 𝟐 The Equation of Continuity Formulation source pinterest
  • 29.
    THE EQUATION OFCONTINUITY The Equation of Continuity 𝒗 𝟏 𝑨 𝟏 = 𝒗 𝟐 𝑨 𝟐 𝒗 = 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚 𝑨 = 𝒂𝒓𝒆𝒂 Formulation source pinterest
  • 30.
    THE EQUATION OFCONTINUITY The Equation of Continuity 𝒗 𝟏 𝑨 𝟏 = 𝒗 𝟐 𝑨 𝟐 Formulation source pinterest
  • 31.
    THE EQUATION OFCONTINUITY The Equation of Continuity 𝒗 𝜶 𝟏 𝑨 Formulation source pinterest 𝑨
  • 32.
    THE EQUATION OFCONTINUITY 𝑨 𝒗 𝑯𝒊𝒈𝒉𝒆𝒓 𝒂𝒓𝒆𝒂, 𝒍𝒐𝒘𝒆𝒓 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚 source cliparts MOTOR HOSE SIMULATION
  • 33.
    𝑨 𝒗 𝑳𝒐𝒘𝒆𝒓 𝒂𝒓𝒆𝒂,𝒉𝒊𝒈𝒉𝒆𝒓 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚 THE EQUATION OF CONTINUITY MOTOR HOSE SIMULATION source cliparts
  • 34.
    THE EQUATION OFCONTINUITY Conclusion •Continuity Equation says for ideal fluid, speeds up going to smaller opening, slows down going to larger opening •Velocity of fluid which is incompressible Inverse with area of the pipe where the fluids are flowing
  • 35.
    THE EQUATION OFCONTINUITY Sources & Citations • Fluid mechanics for chemical engineers Book by James O. Wilkes • Fluid mechanics for chemical engineers Book by Mathieu Mory • https://en.wikipedia.org/wiki/Fluid_dynamics • http://ctmd.oum.edu.my/v2/tut orkits/ • Fluid dynamics of sprinkler systems: https://www.cabdirect.org/cabdirect/abstract/19811964663 • Author(s) : Heermann, D. F. ; Kohl, R. A. • Editors : Jensen, M. E.
  • 36.