同心二重円管内擬塑性流体流れのレイノルズ数の簡便表示と下限臨界レイノルズ数

概要

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The aim of this paper is to derive a simple expression of the Reynolds number and an estimation method of the lower critical Reynolds number for the pseudo-plastic fluid flow in concentric annular tubes assumed the model of drilling mud flow in a well, because interpolation methods are used in the calculation of the Reynolds number and the theoretical estimation methods of the lower critical Reynolds number are needed.Based on the theoretical function for the pseudo-plastic fluid flow given by Fredrickson and Bird(1977), the simple expression for the Reynolds number is obtained as Eq.(20) that is capable of estimating the theoretical value of one within 2% error at any rheology constant values where the values of the pipe diameter ratio are more than 0.2, and zero.The estimation method of the lower critical Reynolds number by applying the flow stability parameter given by Masuyama and Kawashima(1977) is shown as Eq.(32) and Eq.(33). When the reciprocal number of the rheology constant is positive integer, the analytical solution of Eq.(32) is derived and shown as Eqs.(A-4) to (A-12) in the appendix. It appears from the comparison of experimental and predicted lower critical Reynolds numbers for pseudo-plastic fluid flow in concentric annular tubes that the estimated values show agreement with the experimental ones within 20% error.
社団法人資源・素材学会の論文
2003-07-25