二重管内非ニュートン流れについて

ボーリング用泥水の流動に関する研究 (第1報)

抄録

Study of Non-Newtonian flow, especially, flow of Bentonite slurry is applicable in the drilling of oil wells. Analytical solutions for the power law fluid in an axial annular flow have been given by Fredrickson and Bird. But it was pointed out by Vaughn and Bergman that the results of the analytical solutions were not agreement with the experimental results in annuli.
In this paper, it was ascertained that the parameters in a power law model which were determined by a “combinations theory” proposed by the authors were useful and the equations showed by Fredrickson and Bird were enable to calculate the relations between the flow rate and the pressure drop in annuli, and the authors, also, could define the new modified Reynolds number, as follows, for the power law fluid such as Bentonite slurry in annuli.
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where, f=friction factor, Rep=new modified Reynolds number, D₀=diameter of outer tube of annuli, κ=ratio of radius, ρ=density, V=mean velocity in annuli, ΔP=pressure drop, L=length of annuli, K=fluid Gonsistency index, n=flow behavior index, Ωp=function of n andκdefined by Fredrickson and Bird.
Further-more, in the case of rotation of inper tube authors measured the pressure drop. As the results, no effects were ascertained about the above-mentioned problems.