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경사진 원형관에서 표면장력과 중력으로 구동되는 비뉴턴유체(Casson 모델)의 지배방정식 개발

Development of Governing Equation for a Non-Newtonian Fluid(Casson Model) driven by Surface Tension and Gravity Force in an Inclined Circular Tube

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키워드

주제분류기계공학

초록

This paper presents the theoretical analysis for the flow driven by surface tension and gravity force in an inclined circular tube. The previously developing equation for Power-Law model is a simple ordinary differential type. A governing equation is developed for describing the displacement of a non-Newtonian fluid(Casson model) that continuously flows into a circular tube by surface tension, which represents a second-order, nonlinear, non-homogeneous, and ordinary differential form. It was found that the theoretical predictions of the governing equation were in good agreement with the results for considering the Newtonian model.

Abstract

This paper presents the theoretical analysis for the flow driven by surface tension and gravity force in an inclined circular tube. The previously developing equation for Power-Law model is a simple ordinary differential type. A governing equation is developed for describing the displacement of a non-Newtonian fluid(Casson model) that continuously flows into a circular tube by surface tension, which represents a second-order, nonlinear, non-homogeneous, and ordinary differential form. It was found that the theoretical predictions of the governing equation were in good agreement with the results for considering the Newtonian model.

참고문헌 (13)

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  4. P. V. Remoortere, "About the Kinetics of Partial Wetting", J. Colloid Interfac Sci, 160, pp.387~396 (1933)
  5. N. Ichikawa, "Interface Dynamics of Capillary Flow in a Tube under Negligible Gravity Condition", J. Colloid Interface Sci, 162, pp.350~355 (1994)
  6. M. M. Weislogel, "Steady Spontaneous Capillary Flow in Partially Coated Tubes", AICHE J, 43, pp.645~654 (1997)
  7. L. J. Yang, "The Marching Velocity of the Capillary Meniscus in a Microchannel", J. Micromech. Microeng, 14, pp.220~225 (2004)
  8. W. K. Chan, "Surface-Tension-Driven Liquid-Liquid Displacement in Capillary", J. Micromech. Microeng, 15, pp.1722~1728 (2005)
  9. R. Chebbi, "Dynamics of Liquid Penetra tion into Capillary Tubes", J. Colloid Interface Sci, 315, pp.255~260 (2007)
  10. M. Fries, "An Analytic Solution of Capillary Rise Restrained by Gravity", J. Colloid Interfac Sci, 320, pp.259~263 (2008)
  11. 모정하, "경사진 원형관에서 표면장력과 중력에 의한 뉴턴 유체의 유동 및 변위", 한국기계기술학회지, 15(4), pp.589~595 (2013), 한국기계기술학회[DOI]
  12. 모정하, "경사진 원형관에서 표면장력과 중력에 의한 비뉴턴 유체(멱법칙 모델)의 유동 및 변위", 대한기계학회논문집 B, 38(1), pp.9~16 (2014), 대한기계학회
  13. 모정하, "경사진 원형관에서 표면장력과 중력에 의한비뉴턴 유체(Casson 모델)의 유동", 한국기계기술학회지, 16(2), pp.1323~1329 (2014), 한국기계기술학회[DOI]

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