flow regime and critical reynolds number for drilling hydraulics
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26/11/13 Flow Regime and Critical Reynolds Number for Drilling Hydraulics
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Drilling Formulas and Drilling Calculations
Flow Regime and Critical Reynolds Number forDrilling Hydraulics
by DrillingFormulas.Com on May 7, 2012
Drilling fluid has three flow regimes which are laminar, transition or turbulent flow. The following illustrations demonstrate threetypes of flow
► Well Drilling ► Drilling Water ► Drilling Mud ► Drilling Fluid
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26/11/13 Flow Regime and Critical Reynolds Number for Drilling Hydraulics
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In 1883 when Mr Osborne Reynolds did the fluid study, he discovered Reynolds number describing flow of water in a circularpipe. From his experiment, the turbulent flow starts at the Reynolds Number of 2,000 and the complete turbulent flow occursat the Reynolds Number of 4,000. Therefore, when the calculated Reynolds number of fluid is between 2,000 and 4,000, the
transition flow is called.
The Reynolds Number describing flow changes is not the same as water because behavior of drilling mud does not act exactlylike water. In order to get the accurate flow regime for drilling fluid, the following equations are developed to determine the
critical Reynolds Number.
Laminar flow:
Rec = 3,470 – 1,370na
Transition flow:
3,470 – 1,370na < Rec < 4,270 – 1,370na
Turbulent flow:
Rec = 4,270 – 1,370na
Where;
Rec = critical Reynolds number in an annular
na = power law constant of drilling fluids
26/11/13 Flow Regime and Critical Reynolds Number for Drilling Hydraulics
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Reference: Drilling Hydraulic Books
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