This paper provides a mathematical model and numerical method for predicting the velocity and temperature fields in the mud flows at the surface of a PDC (Polycrystalline Diamond Compact) bit. A 81/2' ( 21 59cm...This paper provides a mathematical model and numerical method for predicting the velocity and temperature fields in the mud flows at the surface of a PDC (Polycrystalline Diamond Compact) bit. A 81/2' ( 21 59cm ) crown type PDC R bit is used as an example. The complex configuration of the PDC bit surface is resolved numerically using body fitting coordinates and the cutters are simplified as drag elements in the momentum equations and as heat source in the energy equation. The finite volume method is used to discretize the momentum and energy equations for the non Newtonian flow. The numerical results effectively predict the flow structure and temperature field which can be used to design and optimize the PDC bit.展开更多
文摘This paper provides a mathematical model and numerical method for predicting the velocity and temperature fields in the mud flows at the surface of a PDC (Polycrystalline Diamond Compact) bit. A 81/2' ( 21 59cm ) crown type PDC R bit is used as an example. The complex configuration of the PDC bit surface is resolved numerically using body fitting coordinates and the cutters are simplified as drag elements in the momentum equations and as heat source in the energy equation. The finite volume method is used to discretize the momentum and energy equations for the non Newtonian flow. The numerical results effectively predict the flow structure and temperature field which can be used to design and optimize the PDC bit.