Korean Chemical Engineering Research

The Korean Institute of Chemical Engineers (한국화학공학회)
권호 표지
DOI QR코드

DOI QR Code

Electrochemical Ionic Mass Transfer Correlation in Fluid-Saturated Porous Layer

  • Cho, Eun Su (Department of Chemical Engineering, Hoseo University)
  • Received : 2014.12.19
  • Accepted : 2015.02.23
  • Published : 2015.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

A new ionic mass transfer correlation is derived for the fluid-saturated, horizontal porous layer. Darcy-Forchheimer model is used to explain characteristics of fluid motion. Based on the microscales of turbulence a backbone mass transfer relation is derived as a function of the Darcy-Rayleigh number, $Ra_D$ and the porous medium Schmidt number, $Sc_p$. For the Darcy's limit of $Sc_p{\gg}Ra_D$, the Sherwood number, Sh is a function of $Ra_D$ only. However, for the region of high $Ra_D$, Sh can be related with $Ra_DSc_p$. Based on the present backbone equation and the electrochemical mass transfer experiments which are electro plating or electroless plating, the new ionic mass transfer correlation is suggested in the porous media.

Keywords

References

  1. Nield, D. A. and Bejan, A., Convection in Porous Media, 3rd ed., Springer (2006).
  2. Howard, L. N., Proc. 11th Int. Cong. Appl. Mech., 449(1964).
  3. Long, R. R., "Relation Between Nusselt Number and Rayleigh Number in Turbulent Thermal Convection," J. Fluid Mech., 73, 445-451(1976). https://doi.org/10.1017/S0022112076001444
  4. Cheung, F. B., "Heat Source-driven Thermal Convection at Arbitrary Prandtl Number," J. Fluid Mech., 97, 743-758(1980). https://doi.org/10.1017/S0022112080002789
  5. Arpaci, V. S., "Microscales of Turbulence and Heat Transfer Correlations," Int. J. Heat Mass Transfer, 29, 1071-1078(1986). https://doi.org/10.1016/0017-9310(86)90137-7
  6. Katto, Y. and Masuoka, T., "Criterion for the Onset of Convective Flow in a Fluid in a Porous Medium," Int. J. Heat Mass Transfer, 10, 297-309(1967). https://doi.org/10.1016/0017-9310(67)90147-0
  7. Wragg, A. A., "Free Convection Mass Transfer at Horizontal Electrodes," Electrochimica Acta, 13, 2159-2165(1968). https://doi.org/10.1016/0013-4686(68)80123-9
  8. Fenech, E. J. and Tobias, C. W., "Mass Transfer by Free Convection at Horizontal Electrodes," Electrochimica Acta, 2, 311-325 (1960). https://doi.org/10.1016/0013-4686(60)80027-8
  9. Newman, J. S., Electrochemical System, 2nd ed., Prentice Hall (1991).
  10. Goldstein, R. J., Fleischer, A. S. and Hogerton, P. B., "Electrochemical Mass Transfer at Moderate Rayleigh Numbers," Trans. ASME: J. Heat Transfer, 123, 1015-1017(2001). https://doi.org/10.1115/1.1392991
  11. Goldstein, R. J., Chiang, H. D. and See, D. L., "High-Rayleighnumber Convection in a Horizontal Enclosure," J. Fluid Mech., 213, 111-136(1990). https://doi.org/10.1017/S0022112090002245
  12. Levich, V. G., Physiochemical Hydrodynamics, Prentice Hall (1962).
  13. Shin, S.-I., Yoon, D. Y. and Choi, C. K., "A Mass-transfer Correlation of Double-diffusive Convection in a Horizontal Electrolyte Layer with Thermally Stable Stratification," Hwahak Konghak, 36, 958-967(1998).
  14. Chung, T. J., Choi, C. K., Yoon, D.-Y. and Kim, M. C., "Onset of Buoyancy-driven Motion with Laminar Forced Convection Flows in a Horizontal Porous Channel," Int. J. Heat Mass Transfer, 53, 5139-5146(2010). https://doi.org/10.1016/j.ijheatmasstransfer.2010.07.049
  15. Wang, M. and Bejan, A. "Heat Transfer correlation for Benard Convection in a Fluid Saturated Porous Layer," Int. Comm. Heat Mass Transfer, 14, 617-626(1987). https://doi.org/10.1016/0735-1933(87)90041-8
  16. Busse, F. H. and Joseph, D. D., "Bounds for Heat Transport in a Porous Layer," J. Fluid Mech., 54, 521-543(1972). https://doi.org/10.1017/S0022112072000850
  17. Yoon, D. Y. and Choi, C. K., "Thermal Convection in a Saturated Porous Medium Subjected to Isothermal Heating," Korean J. Chem. Eng., 6, 144-149(1989). https://doi.org/10.1007/BF02697493
  18. Bard, A. J. and Faulkner, L. R., Electrochemical Methods. Fundamentals and Applications, 2nd ed., Wiley, New York, NY (2001).
  19. Jung, J. W., "Ionic Mass Transfer by Natural Convection in a Horizontal Fluid Layer," M. S. theis, Seoul National University (1988).