in detail explanation of reynolds number and its use in oil and gas industry

1. Reynolds Number

2. Content
• Why Reynolds Number
• Important terms
• Introduction
• How dimensionless?
• Reynolds Number conditions

3. Why Reynolds number?
• To identify the flow type of liquid in a pipe
(laminar or turbulent)
• Life of a pipe

4. Definition
• Inertial force: a force opposite in direction to an accelerating force
acting on a body
• Laminar flow: the flow of a fluid when each particle of the fluid
follows a smooth path, paths which never interfere with one another. One
result of laminar flow is that the velocity of the fluid is constant at any
point in the fluid.
• Turbulent flow: irregular flow that is characterized by tiny
whirlpool regions. The velocity of this fluid is definitely not constant at
every point.

5. Definitions
• Viscous forces in a fluid are proportional to the rate at which the fluid
velocity is changing in space or a measure of a fluid’s resistance to flow.

6. Introduction
• Reynolds Number?
• First introduced by Sir George Stokes and later on globalized by Osborne
Reynolds
• The fluid moving force and fluid resisting force
• The ratio of inertial force to viscous force is called reynolds number.
• Denoted as “ ”

7. Mathematical representation
• To gain high reynolds number we should have high velocity
• Different fluid have different Reynolds number
• It is a dimensionless quantity

8. How dimensionless

9. Reynolds number condition
• If Reynolds number is less than 2100 then the
flow in pipe is laminar.
• If Reynolds number is greater than 4000 then
the flow in pipe is turbulent
• If Reynolds number is between 2100 to 4000
then flow is under transition region and under
this region it is called as critical Reynolds
number

10. Numerical appraoch
• An oil viscosity of 0.006 poise is flowing
through a pipe of dia 0.2 m with a velocities of
1.91 m/sec and 0.05 m/sec and density of
fluid is as 900 kg/cubic m. Find the Reynolds
number

11. Laminar flow

12. Thank you?