Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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TWO-DIMENSIONAL STAGNATION FLOW TOWARD A PLANE WALL COATED WITH MAGNETIC FLUID OF UNIFORM THICKNESS

균일 두께의 자성유체 피막이 있는 평면 벽을 향하는 2차원 정체 유동

  • 고형종 (금오공과대학교 기계공학부) ;
  • 김경훈 (금오공과대학교 기계공학부) ;
  • 김세웅 (금오공과대학교 기계공학부)
  • Published : 2007.12.31
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Abstract

Two-dimensional stagnation flow toward a plane wall coated with magnetic fluid of uniform thickness is investigated. The flow field is represented as a similarity solution of the Navier-Stokes equation for this incompressible laminar flow. The resulting third order ordinary differential equation is solved numerically by using the shooting method and by determining two shooting parameters so as to satisfy the boundary and interface conditions. Features of the flow including streamline patterns are investigated for the varying values of density ratio, viscosity ratio, and Reynolds number. An adverse flow with double eddy pair in magnetic fluid region is found to emerge as the Reynolds number becomes higher than a threshold value. The results for the interface velocity, interface and wall shear stress, and boundary layer and displacement thickness are also presented.

Keywords

References

  1. 1987, Rosensweig, R.E., "Magnetic Fluids," Ann. Rev. Fluid Mech., Vol.19, pp.437-463 https://doi.org/10.1146/annurev.fl.19.010187.002253
  2. 1996, Kamiyama, S., "Recent Development of Magnetic Fluid Engineering," JSME J.(B), Vol.62-596, pp.1281-1287, (in Japanese)
  3. 1996, Rosensweig, R.E., "Conceptual Applications of Magnetic Fluids," in Magnetic Fluids and Applications Handbook, Berkovski, B. (Editor-in-Chief), Begell House, New York, pp.591-654
  4. 1996, Bashtovoi V., Blums, E., and Kamiyama, S., "Fluid Mechanical Phenomena," in Magnetic Fluids and Applications Handbook, Berkovski, B. (Editor-in-Chief), Begell House, New York, pp.395-588
  5. 1995, Krakov, M.S. and Kamiyama, S., "Steady flow past a circular cylinder coated with magnetic fluid: flow structure, drag reduction and coating deformation," J. Fluid Mech., Vol.295, pp.1-22 https://doi.org/10.1017/S0022112095001868
  6. 1995, Krakov, M.S. and Kamiyama, S., "Unsteady flow past a circular cylinder with magnetic fluid coating," J. Magn. Magn. Mater., Vol.149, pp.108-110 https://doi.org/10.1016/0304-8853(95)00349-5
  7. 1911, Hiemenz, K., "Die Grenzschicht an einem in den gleichformigen Flussigkeitsstrom eingetauchten geraden Kreiszylinder," Dingler's Polytech. J., Vol.326, p.321
  8. 1991, White, F.M., Viscous Fluid Flow, McGraw-Hill, Singapore, pp.152-163
  9. 2004, Mathsoft, Mathcad 12 User's Guide, Cambridge