Critical velocity for change in flow regime

Input(s)

PV: Plastic Viscosity (cP)

YP: Yield Stress or Yield Point \(\left(\mathrm{lb} / 100 \mathrm{ft}^{2}\right)\)

\(\rho_{\mathrm{m}}\): Mud Density (ppg)

\(\mathrm{D}_{\mathrm{i}}\): inside Diameter of Pipe (in.)

Output(s)

\(\mathrm{V}_{\mathrm{c}}\): Critical Velocity \((\mathrm{ft} / \mathrm{s})\)

Formula(s)

\[ \mathrm{V}_{\mathrm{c}}=\frac{(1.08 * \mathrm{PV})+\left(1.08 *\left(\mathrm{PV}+12.34 * \rho_{\mathrm{m}} *\left(\mathrm{D}_{\mathrm{i}}^{2}\right) * \mathrm{YP}\right)^{0.5}\right)}{\rho_{\mathrm{m}} * \mathrm{D}_{\mathrm{i}}} \]

Reference(s)

Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015. Houston, Texas, Page: 220.


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