Abstract:

The motion of the drilling liquid in the annular out of the drilling string can be classified as two cases, the power law fluid flow and the spiral flow in pipe. The constructive equation of the power law fluid is not easy to find the solution due to the non-linear terms in the motion equation. So the paper presented the new method to solve the non-linear problems, which applied the computer symbolic operation, the improved Kantoravich differential method and the power law fluid model, and used the method of the local linearization. It is the application of the computer intelligent analytical method for the non-linear problems, and the unsteady flow of the power law in pipe was described in this paper, the approach and result can be extended to the spiral fluid motion of the power law fluid.

Key words: Non-Newtonian, fluid power law fluid, drilling fluid, computer, symbolic operation, analytical method, nonlinear flow