A numerical study on flow characteristics and rock stress in abrasive slurry jet impingement

  • Dachuan Feng
  • Chuwen GuoEmail author
Technical Paper


To apply abrasive slurry jet (ASJ) in rock drilling calls for in-depth understandings on the mechanism of impingement process. A fluid–structure coupling model that combines multi-fluid model and finite element method was established for a set of numerical investigation. The simulation results show that entrained air contributes to the divergence by successive disturbing on the jet flow. Subjected to the jet impact, the stress field of rock structure is affected by the standoff distance, abrasive particle diameter and crack in rock material. On the other hand, we adopt both first strength criterion and Drucker–Prager criterion for the elastic–plastic rock material to evaluate the stress state of rock under a high-speed jet impact. It is found the onset of rock damage is primarily attributed to a brittle tensile fracture at crack tip and a plastic failure in the crack front, tending to initiate from a smaller-length-scale crack. The flow field and rock stress are characterized to provide a numerical basis for the parametric optimization of ASJ impinging rock as well as other elastic–plastic materials.


Abrasive slurry jet Crack Fluid–structure interaction Rock stress 

List of symbols

\( \rho \)


\( \alpha_{p} \)

Abrasive volume fraction

\( \overrightarrow {{\varvec{F}_{{\varvec{pf}}} }} \)

Particle force on per unit mass

\( k_{fp} \)

Momentum exchange coefficient



\( \text{Re}_{\text{p}} \)

Particle Reynolds number

\( C_{\text{D}} \)

Drag coefficient


Volume change rate

\( x_{i} \)

Particle coordinate

\( \ddot{x}_{i} \)


\( \varvec{\sigma}_{{\varvec{ij}}} \)

Stress tensor

\( \dot{\varvec{\varepsilon }}_{{\varvec{ij}}} \varvec{ } \)

Strain rate tensor

\( \varvec{S}_{{\varvec{ij}}} \)

Stress deviator

\( f_{i} \)

Body force of per unit mass








Bulk viscosity force

\( \sigma_{1} \)

First principal stress

\( \sigma_{2} \)

Second principal stress

\( \sigma_{3} \)

Third principal stress

\( \sigma_{t} \)

Tensile yield strength

\( \varphi \)

Internal friction angle





This work was supported by the Fundamental Research Funds for the Central Universities (Grant No. 2018BSCXC11) and the Postgraduate Research & Practice Innovation Program of Jiangsu Province (Grant No. KYCX18_1918).


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.School of Electrical and Power EngineeringChina University of Mining and TechnologyXuzhouPeople’s Republic of China

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