Transverse Thermal Dispersion in Porous Media Under Oscillating Flow

Year 2014, Volume: 4 Issue: 4, 56 - 64, 23.07.2016

Mehmet Turgay Pamuk Mustafa Özdemir

Abstract

In this study, transverse dispersion thermal conductivity in a porous medium of mono-sized steel balls under oscillating flow has been investigated. Although mode of heat transfer is expected to be convection caused by fluid flow only, conduction and especially dispersion in porous media is very important depending on the solid material, structure and flow medium. The scope of this study is to obtain transverse thermal dispersion conductivity correlations to be used for oscillating flow. For this purpose, a total of 27 sets of heat transfer experiments, each representing a different frequency, flow displacement length and heat input, have been conducted for a porous medium of steel balls of 3 mm in diameters. Considering that the total thermal conductivity is a summation of dispersion conductivity and the medium’s thermal conductivity, effective thermal conductivity is found to be a linear function of Peclet number. Thus, it has been possible to estimate effective thermal conductivity of the medium under oscillating flow by measuring heat flux, fluid velocity and calculating radial temperature gradients

Keywords

Porous Media, Oscillating Flow, heat transfer, dispersion

References

• Byun, S.Y., Ro, S.T., Shin , J.Y., Son, Y.S., Lee, D.-Y. (2006). Transient thermal behavior of porous media under oscillating flow condition, International Journal of Heat and Mass Transfer 49, 5081–5085.
• Figliola, Richard S., Beasley, Donald E. (2006). Theory and Design for Mechanical Measurements, John Wiley.
• Hsieh, W.H., Lu, S.F. (2000). Heat-transfer analysis and thermal dispersion in thermally-developing region of a sintered porous metal channel, International Journal of Heat and Mass Transfer 43, 3001-3011.
• Kaviany, Massoud (1995). Principles of Heat Transfer in Porous Media, Springer.
• Kuznetsov, A.V. (2000). Investigation of the effect of transverse thermal dispersion on forced convection in porous media, Acta Mechanica 145, 35-43.
• Leong, K.C., Jin, L.W. (2005). An Experimental Study of Heat Transfer in Oscillating Flow Through a Channel Filled Fith Aluminum Foam, International Journal of Heat and Mass Transfer 48, 243-253.
• Metzger, T., Didierjean, S., Maillet, D. (2004). Optimal experimental estimation of thermal dispersion coefficients in porous media, International Journal of Heat and Mass Transfer 47, 3341–3353
• Nield, Donald A., Bejan, Adrian (2006). Convection in Porous Media, ISBN-3-540-97651-5- Springer-Verlag.
• Nield, D. A. (1991). Estimation of the stagnant thermal conductivity of saturated porous media, International Journal of Heat and Mass Transfer Volume 34, Issue 6, June 1991, Pages 1575-1576.
• Özgümüş, T., Mobedi1, M., Özkol, Ü., Nakayama, A. (2011). Thermal Dispersion in Porous Media – A Review on Approaches in Experimental Studies, 6th International Advanced Technologies Symposium (IATS’11), 16-18 May 2011, Elazığ, Turkey.
• Pamuk, M.T., Özdemir, M. (2012). Heat Transfer in Porous Media of Steel Balls Under Oscillating Flow, Experimental Thermal and Fluid Science, Elsevier (doi:10.1016/j.expthermflusci.2012.04.015).
• Vafai, Kambiz (2005). Handbook of Porous Media, Second Edition, CRC Press Taylor & Francis Group.
• Yang , C., Nakayama, A. (2010). A synthesis of tortuosity and dispersion in effective thermal conductivity of porous media, International Journal of Heat and Mass Transfer 53, 3222–3230.
• Zhao, T.S., Cheng, P. (1998). Heat Transfer In Oscillatory Flows, Annual Review of Heat Transfer, Volume IX.