Distributions of the velocity and pressure of the pulsatile laminar flow in a pipe with the various frequencies

주파수의 변화에 따른 원형관로내 층류맥동유동의 속도와 압력의 분포

  • 배신철 (단국대학교 공과대학 기계공학과) ;
  • 모양우 (단국대학교 공과대학 기계공학과)
  • Published : 1997.11.01

Abstract

In this paper, the fundamental equations are developed for the pulsatile laminar flow generated by changing the oscillatory flow with $0{\leq}f{\leq}48Hz$ into a steady one with $0{\leq}Re{\leq}2500$ in a rigid circular pipe. Analytical solutions for the wave propagation factor k, the axial distributions of cross-sectional mean velocity $u_m$ and pressure p are schematically derived and confirmed experimentally. The axial distributions of centerline velocity and pressure were measured by using Pitot-static tubes and strain gauge type pressure transducers, respectively. The cross-sectional mean velocity was calculated from the centerline velocity by applying the parabolic distribution of the laminar flow and it was confirmed by using the ultrasonic flowmeter. It was found that the axial distributions of cross-sectional mean velocity and pressure agree well with theoretical ones and depend only on the Reynolds number Re and angular velocity $\omega$.

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