Friction factor in drill pipe

Input(s)

μs\mu_{\mathrm{s}}: Static Viscosity (cP)(\mathrm{cP})

σ\sigma: Normal Stess at Contact (psi)

k\mathrm{k}: Exponential Constant (dimensionless)

t\mathrm{t}: Average Contact Time (s)

Vt\mathrm{V}_{\mathrm{t}}: Trip Speed (ft/s)(\mathrm{ft} / \mathrm{s})

ω\omega: Angular Speed (ft/s)(\mathrm{ft} / \mathrm{s})

Output(s)

μ\mu: Constant (dimensionless)

Formula(s)

μ=μs1+(μsσ(( Vt2+ω2)0.5)kt)\mu=\frac{\mu_{\mathrm{s}}}{1+\left(\frac{\mu_{\mathrm{s}} * \sigma *\left(\left(\mathrm{~V}_{\mathrm{t}}^{2}+\omega^{2}\right)^{0.5}\right)}{\mathrm{k} * \mathrm{t}}\right)}

Reference(s)

Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015. Houston, Texas, Page: 375.


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