Drilling hydraulics

1.

2.

3.

4. Reynold’s Number

5. Newtonian Model

6. Shear stress vs Shear rate

7. Non-Newtonian, Bingham Plastic model

8. Non-Newtonian, Power Law model

9. Frictional Pressure Drop in pipes

Laminar Flow in pipes

10. Frictional Pressure Losses:

Newtonian Fluid in a Pipe:
Newtonian Fluid in an annulus:
Bingham Plastic in a pipe
Bingham Plastic in an annulus
Power-law fluid in a pipe:
Power-law fluid in an annulus:

11. Quick Quiz :

Hint:

12. Answer:

13. Frictional pressure drop through a nozzle:

Theoretical Nozzle velocity
Actual pressure drop across the nozzle
Discharge through a nozzle