Measurement of Convective Heat Transfer from a Vertical Flat Plate Using Mach-Zehnder Interferometer with Wedge Fringe Setting

Authors: Divya Haridas, C. B. Sobhan

Abstract:

Laser interferometric methods have been utilized for the measurement of natural convection heat transfer from a heated vertical flat plate, in the investigation presented here. The study mainly aims at comparing two different fringe orientations in the wedge fringe setting of Mach-Zehnder interferometer (MZI), used for the measurements. The interference fringes are set in horizontal and vertical orientations with respect to the heated surface, and two different fringe analysis methods, namely the stepping method and the method proposed by Naylor and Duarte, are used to obtain the heat transfer coefficients. The experimental system is benchmarked with theoretical results, thus validating its reliability in heat transfer measurements. The interference fringe patterns are analyzed digitally using MATLAB 7 and MOTIC Plus softwares, which ensure improved efficiency in fringe analysis, hence reducing the errors associated with conventional fringe tracing. The work also discuss the relative merits and limitations of the two methods used.

Keywords: MZI, Natural Convection, Naylor Method, Vertical Flat Plate.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1089066

References:

[1] E. R. Goldstein, and G. Eckert, "The steady and transient free convection flow with uniformly heated vertical plate”, Int. J. Heat Mass Transfer, Vol. 1, pp. 208-218, August 1960.
[2] C. E. Kwak, and T .H Song,” Natural convection around horizontal downward-facing plate with rectangular grooves: experiments and numerical simulations”, Int. J. Heat Mass Transfer, Vol. 43, pp. 825–838, March 2000.
[3] J. Gryzagoridis, and F. C. White, "Measurements of heat transfer from an isothermal rotating disk using a Mach-Zehnder interferometer”, Letters in Heat and Mass Transfer, Vol. 6, pp. 479-487, December 1979.
[4] R. Shimada, T. Ohba, T. Adachi, and M. Izumi, "Heat transfer on a horizontal rotating cylinder near a flat plate in a cross-flow”, Heat Transfer—Asian Research, Vol. 40, pp. 78–88, January 2011.
[5] M. E. Poulad, D. Naylor, and P. H. Oosthuizen,” Measurement of time-averaged turbulent free convective using interferometry”,in 14th International Heat Transfer Conference, Washington, DC, USA, August 2010, pp. 1-9.
[6] Y. T Wong, W. K. Chin, and B. Liu, "Temperature measurement of small objects by Mach-Zehnder Interferometer”, Journal of Thermal Science, Vol. 2, pp. 270-274, December 1993.
[7] D. Newport, C .B. Sobhan, and J. Garvey, "Digital interferometry: techniques and trends for fluid measurement”, Int. J. Heat and Mass Transfer, Vol. 44, pp. 535-546, March 2008.
[8] D. Naylor, and N. Duarte, "Direct temperature gradient measurement using interferometry”, Experimental Heat Transfer, Vol. 12, pp. 279-294, 1999.
[9] D. Naylor, "Recent developments in the measurement of convective heat transfer rates by laser interferometry”, International Journal of Heat and Fluid Flow, Vol. 24, pp. 345–355, June 2003.
[10] V. Sajith, K. C. Sajeesh, and C. B. Sobhan, "Characterization of convective heat dissipation from electronic components using digital interferometry”, IISC Centenary International Conference on Advances in Mechanical Engineering (IC-ICAME), Bangalore, 2008.
[11] P. Hariharan, Basics of Interferometry. USA: Academic Press (Elsevier), 2007, ch. 1.
[12] E. R. G. Eckert, and R. J. Goldstein, Measurement Techniques in Heat Transfer. England: Technivision Services 1970, ch. 4.
[13] V. Sajith, Divya Haridas, C. B. Sobhan, and G.R.C. Reddy,” Convective heat transfer studies in macro and mini channels using digital interferometry”, International Journal of Thermal Sciences, Vol. 50, pp. 239-249, March 2011.
[14] H. Grober, S. Erk, and U. Grigull, Fundamentals of Heat Transfer. New York: Mc Graw Hill, Book Company, Inc., 1961.