Abstract: Although the parabolic relationship between the velocity of steady flow and the radius of the flow layer has been found for more than 100 years, no literature has revealed the formation mechanism of the parabolic relationship. The purpose of this study was to reveal its formation mechanism in detail and satisfactorily. By means of theoretical research, two essential characteristics of parabolic velocity curve were grasped. Two relations were derived. One was the square relation between the internal friction of the contact flow layer and the radius of the flow layer. The other was the relation between the internal friction difference of the two sides of any flow layer and the radius of that flow layer. The discovery of two essential features and the derivation of two formulas enabled the research to start and proceed smoothly. Finally, the formation mechanism theory of parabolic velocity curve was constructed.

Key words: Poiseuille flow, parabolic velocity curve, formation mechanism

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