Optimum design of the internal flushing channel of a drill bit using RSM and CFD simulation

  • Chang-Heon Song
  • Ki-Beom Kwon
  • Jin-Young Park
  • Joo-Young Oh
  • Shinok Lee
  • Dae-Young Shin
  • Jung-Woo Cho
Article

Abstract

In this study, a series of computational fluid dynamics (CFD) simulations was conducted to evaluate and optimize the design of the internal flushing channel for a drill bit. The Star-CCM+ code was used to simulate the multi-phase flow of flushing air and escaping rock particles during drilling work. The values of the input parameters used for the simulation were obtained from in-situ drilling test results. Finally after choosing three major design factors and determining their appropriate sizes, the experimental design method known as response surface methodology (RSM) was used to obtain the optimum value of each factor.

Keywords

Top-hammer drilling Drill bit Computational fluid dynamics (CFD) Response surface methodology (RSM) 

Nomenclature

AP

Projected area of the particle (m2)

Cε1, Cε2, Cε3, Cε4

Coefficients of turbulent dissipation rate

Cd

Drag coefficient

Cvm

Virtual mass coefficient

Fb

Particle body force (N)

Fs

Particle surface force (N)

fu

User defined body force (N)

g

Gravity acceleration (m s−2)

k

Turbulent kinetic energy (m2 s−2)

mp

Particles’ mass (kg)

\(\dot m_p\)

Rate of mass transfer to the particle (kg s−1)

p

Pressure (Pa)

pabs

Absolute pressure (Pa)

pstatic

Gradient of the static pressure in the continuous phase (Pa)

R

Universal gas constant (J mol−1 K−1)

rp

Position of the rock particle

T

Fluid temperature (K)

t

Time (s)

ui

Fluctuant fluid velocity of i (i = x) (m s−1)

uj

Fluctuant fluid velocity of j (j = y) (m s−1)

vi

Fluid velocity in direction i (i = x) (m s−1)

vj

Fluid velocity in direction j (j = y) (m s−1)

vk

Fluid velocity in direction k (k = z) (m s−1)

vs

Particle slip velocity (m s−1)

vp

Absolute velocity of a particle (m s−1)

vg

Grid velocity of a particle (m s−1)

VP

Volume of the particle (m3)

Greek letters

δ

Kroneker delta

ɛ

Turbulence dissipation rate (m2 s−3)

µ

Molecular viscosity of fluid (kg s m−2)

µt

Turbulence viscosity (kg s m−2)

µm

Mean value of rock particle diameter (mm)

ρ

Particle density (kg m−3)

ρc

Density of continuous phase (kg m−3)

ρf

Fluid density (kg m−3)

σst

Standard deviation of rock particles’ diameters (mm)

σk

Prandlt number of turbulence kinetic energy

σε

Prandlt number of turbulence dissipation rate

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Copyright information

© Korean Society for Precision Engineering and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Chang-Heon Song
    • 1
  • Ki-Beom Kwon
    • 1
  • Jin-Young Park
    • 2
  • Joo-Young Oh
    • 1
  • Shinok Lee
    • 1
  • Dae-Young Shin
    • 1
  • Jung-Woo Cho
    • 2
  1. 1.Korea Institute of Industrial TechnologyGyeongsan-siSouth Korea
  2. 2.Korea Institute of Industrial TechnologyDaeguSouth Korea

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