Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Study of Natural Convection of Magnetic Fluid in Cubic Cavity

정방형관 내에서 자성유체의 자연대류현상에 대한 수치적 연구

  • Received : 2012.11.22
  • Accepted : 2013.04.26
  • Published : 2013.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

This study aims to numerically investigate the natural convection characteristics of a magnetic fluid in a cubic cavity. The governing equations of the magnetic fluid are solved using the Generalized-Simplified Marker and Cell Method (GSMAC). The natural convection and heat transfer characteristics of the magnetic fluid were analyzed by varying the intensity and direction of the magnetic field. As a result, it was found that the natural convection characteristics were controlled by the intensity and direction of the magnetic field, and the mean Nusselt numbers were minimized at a vertical intensity of H=-4000 and horizontal intensity of H=12000 of the magnetic field. In addition, the mean Nusselt numbers increased with the intensities of the magnetic field, regardless of the direction of the magnetic field.

본 연구에서는 밀폐된 정방형관 내에서 자성유체의 자연대류현상에 대하여 수치해석적으로 접근하였다. GSMAC(Generalized-Simplified Marker and Cell method)법을 이용하여 자성유체의 지배방정식을 풀었으며 외부에서 인가자장의 세기 및 방향에 따른 자연대류현상과 열전달 특성을 수치해석적으로 규명하였다. 자성유체의 자연대류현상은 인가자장의 세기 및 방향에 따라 제어되었다. 자장이 수직방향으로 인가될 경우 자장의 세기 H가 4000일 때 평균 Nusselt 수가 최소가 되었고 자장이 수평방향으로 인가될 경우 자장의 세기 H가 12000일 때 평균 Nusselt 수가 최소가 되었다. 또한, 이 지점을 기준으로 자장의 인가방향과 관계없이 자장의 세기가 증가할수록 평균 Nusselt 수가 증가하였다.

Keywords

References

  1. Park, J. W., Ryu, S. O. and Seo, L. S., 1999, "A Study on the Flow Behavior of Magnetic Fluids in a Circular Pipe with a Vertical Magnetic Field," Trans. Korean Soc. Mech. Eng. B, Vol. 23, No. 1, pp. 25-32.
  2. Ahn, C. H., Nam, Y. J. and Park, M. K., 2004, "Position Control of Capsule Filled with Magnetic Fluid for Targeted Drug Delivery System," Trans. Korean Soc. Mech. Eng. A, Vol. 28, No. 8, pp. 1166-1173. https://doi.org/10.3795/KSME-A.2004.28.8.1166
  3. Ryu, S. O., Park, J. W. and Seo, L. S., 2001, "A Study on the Flow Analysis for Natural Convection of Magnetic Fluid in a Cubic Cavity," Proc. of the KSME Annual Meeting, Vol. 1, No. 5, pp. 142-147.
  4. Ashouri, M., Ebrahimi, B., Shafii, M. B., Saidi, M. H. and Saidi, M. S., 2010, "Correlation for Nusselt Number in Pure Magnetic Convection Ferrofluid Flow in a Square Cavity by a Numerical Investigation," Journal of Magnetism and Magnetic Materials, Vol. 322, No. 22, pp. 3607-3613. https://doi.org/10.1016/j.jmmm.2010.05.041
  5. Yamaguchi, H., Niu, X. D., Zhang, X. R. and Yoshikawa, K., 2009, "Experimental and Numerical Investigation of Natural Convection of Magnetic Fluids in a Cubic Cavity," Journal of Magnetism and Magnetic Materials, Vol. 321, No. 22, pp. 3665-3670. https://doi.org/10.1016/j.jmmm.2009.07.013
  6. Tanahashi, T., Sawada, T., Shizawa, K. and Ando, T., 1983, "Response of Ferrofluids in Annular Pipes Under the Influence of External Magnetic Fields," Trans. of the JSME (B), Vol. 49, No.447, pp. 2513-2521. https://doi.org/10.1299/kikaib.49.2513
  7. Kawai, H., Katoh, Y., Sawada, T. and Tanahashi, T., 1990 "GSMAC-FEM for Incompressible Viscous Flow Analysis(A Modified GSMAC Method)," JSME International Journal, Series II, Vol. 33, No.1, pp.17-25.
  8. Park, J. W., Jun, C. H., Seo, L. S. and Ryu, S. O., 2002, "Characteristics of Heat Transfer of Natural Convection for Magnetic Fluids in Annular Pipes," Journal of Korean Magnetics Society, Vol. 12, No. 2, pp. 73-79. https://doi.org/10.4283/JKMS.2002.12.2.073
  9. Kamiyama, S., Koike, K. and Oyama, T., 1983, "Pipe Flow Resistance of Magnetic Fluids in a Nonuniform Transverse Magnetic Field," Journal of Magnetism and Magnetic Materials, Vol. 39, No. 1-2, pp. 23-26. https://doi.org/10.1016/0304-8853(83)90389-X
  10. Jin, S. H., Park, J. W. and Seo, L. S., 2001, "Numerical Analysis on the Characteristic Benard Flow and Control of Magnetic Fluid," Proc. of the SAREK Winter Annual Meeting, pp. 280-285.
  11. Jin, S. H., 2001, A Numerical Analysis on the Characteristic Benard Flow and Control of Magnetic Fluid, Master Thesis, Dong-A Univ., Korea.
  12. Park, J. W., Lee, J. H. and Seo, L. S., 2001, "Experimental Study of Natural Convection for Magnetic Fluids in Annular Pipes under the Influence of External Magnetic Fields," Journal of Korean Magnetics Society, Vol. 11, No. 6, pp. 245-249.
  13. Park, J. W, 2003, A Study on the Heat Transfer Characteristics and Fluid Flow of Magnetic Fluids in Concentric Double Pipe Annuli, Ph. D. thesis, Dong-A Univ., Korea.

Cited by

  1. Thermodynamic behaviors of magnetic-fluid in a thin channel with magnetic field and aspect ratio vol.15, pp.7, 2014, https://doi.org/10.1007/s12541-014-0479-6
  2. Thermophysical Characteristics of the Ferrofluid in a Vertical Rectangle vol.17, pp.2, 2015, https://doi.org/10.3390/e17020903