An Experimental Study on the Transitional Flows in a Concentric Annu- lus with Rotating Inner Cylinder

안쪽축이 회전하는 환형관내 천이유동에 관한 연구

  • 김영주 (성균관대학교 기계공학과 대학원) ;
  • 김철수 (원주대 자동차서비스과) ;
  • 황영규 (성균관대학교 기계공학부)
  • Published : 2002.11.01

Abstract

The present experimental and numerical investigations are performed on the characteristics of transitional flow in a concentric annulus with a diameter ratio of 0.52, whose outer cylinder is stationary and inner one rotating. The pressure losses and skin-friction coefficients have been measured for the fully devel-oped flow of water and that of 0.2% CMC-water solution at a inner cylinder rotational speed of 0∼600 rpm, respectively. The transitional flow has been examined by the measurement of pressure losses to reveal the relation of the Reynolds and Rossby numbers with the skin-friction coefficients. The occurrence of transition has been checked by the gradient changes of pressure losses and skin-friction coefficients with respect to the Reynolds numbers. The increasing rate of skin-friction coefficient due to the rotation is uniform for laminar flow regime, whereas it is suddenly reduced for transitional flow regime and, then, it is gradually decreased for turbulent flow regime.

본 연구에서 실험과 수치해석 검증은 지름비 0.52인 동심환형관내에서 안쪽축이 회전하고 바깥쪽축이 고정된 유동장의 유동특성을 수행하였다. 압력손실과 마찰계수는 안쪽축이 0~600 rpm 회전시 물과 0.2% CMC 수용액을 완전히 발달된 유동장에서 측정하였다. 천이유동은 표면마찰계수(C$_{f}$ )에 대하여 로스비수(Ro)와 레이놀즈수(Re)관계를 나타내기 위하여 압력손실 측정에 의해 확인하였다. 천이발생은 레이놀즈수에 대하여 압력손실과 마찰계수의 구배변화에 의해 조사하였다. 회전으로 인한 마찰계수의 증가율은 천이영역에서 대하여 갑자기 감소함에 반하여 층류영역에서 균일하며, 난류영역에서는 점차적으로 감소함을 알 수 있었다.

Keywords

References

  1. Pill. Trans. A v.223 Stability of a Viscous Fluid Contained Between Two Rotating Cylinders Taylor, G.I.
  2. J. Fluid Mech. v.4 On the Nonlinear Mechanics of Hydrodynamic Stability Stuart, J.T.
  3. J. of Fluid Mech. v.366 The Stability of a Viscous Fluid Between Rotating Cylinders with an Axial Flow Diprima, R.C.
  4. Bull. JSME v.5 no.18 Resistance of a Flow through an Annulus with an Rotating Cylinder Yamada, Y.
  5. Bull. JSME v.17 no.114 Rotational and Axial through the Gap between Eccentric Cylinders of which the Outer One Rotates Nakabayashi, K.;Yamada, Y.;Seo, K.
  6. J. Fluid Mech. v.253 Flow of Newtonian and Non-Newtonian Fluids in Concentric and Eccentric Annuli Nouri, J.M.;Umur, H.;Whitelaw, J.H.
  7. J. Fluids Eng. v.116 Flow of Newtonian and Non-Newtonian Fluids in Concentric Annulus with Rotation of the Inner Cylinder Nouri, J.M.;Whitelaw, J.H.
  8. 67th Annual Technical Conference and Exhibition of the Society of Petroleum Engineers Slimhole Drilling Hydraulics Delwiche, R.A.;Stratabit, D.B.;Lejeune, M.W.D.
  9. J. of Heat Transfer v.84 Measurements of Diabatic Flow in an Annulus with an Inner Rotating Cylinder Becker, K.M.;Kaye, J.
  10. 한국자원공학회지 v.39 no.2 안쪽축이 회전하는 환형관내 비뉴튼 유체의 천이 유동연구 김영주;환영규
  11. J. A.I.Ch.E. v.1 no.4 Flow of Non-Newtonian Fluids-Correlation of the Laminar, Transition, and Turbulent-flow Regions Metzner, A.B.;Reed, J.C.
  12. 대한기계학회논문집 B권 v.25 no.5 Wayv Taylor-Couette 유동에 대한 전산해석(Ⅰ) 황종영;양경수