경사진 원형관에서 표면장력과 중력에 의한비뉴턴 유체(Casson 모델)의 유동
Flow of a Non-Newtonian Fluid(Casson Model) by Surface Tension and Gravity Force in an Inclined Circular Tube
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
This paper presents the theoretical analysis for the flow driven by surface tension and gravity forcein an inclined circular tube. The present study introduces detailed mathematical procedures for Cassonviscosity model. The equations of velocity distribution and flow rate are developed to describe thedisplacement of a non-Newtonian fluid that continuously flew into a circular tube by surface tension. Theequation of modified volumetric flow shows the complicated form of (10) due to yield stress term, andthe equation of velocity distribution which includes the yield stress and inclination angle of circular tubeis composed of terms of and as form of (14).
Abstract
This paper presents the theoretical analysis for the flow driven by surface tension and gravity forcein an inclined circular tube. The present study introduces detailed mathematical procedures for Cassonviscosity model. The equations of velocity distribution and flow rate are developed to describe thedisplacement of a non-Newtonian fluid that continuously flew into a circular tube by surface tension. Theequation of modified volumetric flow shows the complicated form of (10) due to yield stress term, andthe equation of velocity distribution which includes the yield stress and inclination angle of circular tubeis composed of terms of and as form of (14).
참고문헌 (12)
- G. A. Tokaty, "A History and Philosophy of Fluid Mechanics" (1994)
- J. M. Bell, "The Flow of Liquid Through Capillary Spaces", J. Phys. Chem, 10, pp.658~674 (1906)
- E. W Washburn, "The Dynamics of Capi llary Flow", Phys. Rev, 17, pp.273~283 (1921)
- N. Ichikawa, "Interface Dynamics of Capillary Flow in a Tube under Negligible Gravity Condition", J. Colloid Inte rface Sci, 162, pp.350~355 (1994)
- M. M. Weislogel, "Steady Spontaneous Capillary Flow in Partially Coated Tubes", AICHE J., 43, pp.645~654 (1997)
- L. J. Yang, "The Marching Velocity of the Capillary Meniscus in a Microchannel", J. Micromech. Microeng, 14, pp.220~225 (2004)
- W. K. Chan, "Surface-Tension-Driven Liquid-Liquid Displacement in Capillary", J. Micromech. Microeng, 15, pp.1722~1728 (2005)
- R. Chebbi, "Dynamics of Liquid Penetra tion into Capillary Tubes", J. Colloid Interface Sci., 315, pp.255~260 (2007)
- M. Fries, "An Analytic Solution of Capillary Rise Restrained by Gravity", J. Colloid Interfac Sci., 320, pp.259~263 (2008)
- 모정하, "경사진 원형관에서 표면장력과 중력에 의한 뉴턴 유체의 유동 및 변위", 한국기계기술학회지, 15(4), pp.589~595 (2013), 한국기계기술학회
- 모정하, "경사진 원형관에서 표면장력과 중력에 의한 비뉴턴 유체(멱법칙 모델)의 유동 및 변위", 대한기계학회논문집 B, 38(1), pp.9~16 (2014), 대한기계학회
- S. H. Kim, "A Study of Non-Newtonian Viscosity and Yield Stress of Blood in a Scanning Capillary-Tube Rheometer", Ph .D, pp.2002