Mass and Heat Transfer Enhancement During 3D Vibrating Drying of a Clay Porous Brick

Nidhal Ben Khedher


A three dimensional coupled heat and moisture transfer model for vibrating convective drying process of unsaturated porous medium was established. The aim of this paper is to study the effect of vibration on the drying of whole brick. A Three-dimensional unstructured Control Volume Finite Element Method (CVFEM) is developed. In order to simulate 3-D complex geometries, as application here the drying of whole brick, we developed Fortran modules to build the polygonal CVFEM mesh based on 3-D unstructured meshes generated by the free mesh generator Gmsh. The temperature, the liquid saturation and pressure distributions for whole brick were presented and analyzed for both cases namely with and without vibration. The results obtained state that the drying process is highly enhanced by vibration and the drying time is reduced by 20%.


3D vibrating drying; CVFEM; Gmsh; unsaturated porous media.

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S.M. Beck, H. Sabarez, V. Gaukel and K. Knoerzer, “Enhancement of convective drying by application of airborne ultrasound - A response surface approach”, Ultrasonics Sonochemistry, Vol. 21, pp. 2144-2150, 2014.

Colin J., Chen W., Casalinho J., Ben Amara M.E.A., Ben Nasrallah S., Stambouli M. and Perré P. “Drying intensification by vibration: fundamental study of liquid water inside a pore”. The 20thInternational Drying Symposium (IDS 2016), Gifu, JAPAN, 7-10 August 2016.

E.A. Kolchanova and N.V. Kolchanov, “Vibration effect on the onset of thermal convection in an inhomogeneous porous layer underlying a fluid layer”, International Journal of Heat and Mass Transfer, Vol. 106, pp. 47-60, 2017.

G. Gershuni, D. Lyubimov, “Thermal Vibrational Convection, Wiley, New York,1998.

V. Demin, G. Gershuni, I. Verkholantsev, “ Mechanical quasiequilibrium and thermovibrational convective instability in an inclined fluid layer”, Int. J. Heat Mass Transfer 39 (9) (1996).

S. Zenkovskaya, “Effect of high-frequency vibration on filtration convection”, J.Appl. Mech. Tech. Phys. 33 (5) (1992) 691–695.

S. Zenkovskaya, T. Rogovenko, “Filtration convection in a high-frequency vibration field”, J. Appl. Mech. Tech. Phys. 40 (3) (1999) 379–385.

G. Bardan, A. Mojtabi, “On the Horton–Rogers–Lapwood convective instability with vertical vibration: Onset of convection”, Phys. Fluids 12 (11) (2000) 2723–2731.

Arun S. Mujumdar & Karoly Erdesz, “Applications of vibration techniques for drying and agglomeration in food processing”, Drying Technology Vol. 6, Iss. 2, 1988.

Rysin, A.P., “Theory and technology of food product drying in fluidized vibration bed, Drying of Solids”, International Science Publisher and Oxford & IBH publishing Co. PVT. Ltd., New York, 1992; pp. 86–99.

R. Rzig, N. Ben Khedher and S. Ben Nasrallah, “A 3-D numerical heat and mass transfer model for simulating the vibration effects on drying process”, Heat Trans Asian Res., Vol. 46 (2), pp. 1-18, 2017.

Ferguson, W. and Turner, I.W., (1995) “A Comparison of the Finite Element and Control Volume Solution Techniques Applied to Timber Drying Problems Below the Boiling Point”, Int. J. Num. Meth. Eng., 38 (9), pp. 451-467.

Ferguson, W. and Turner, I.W., (1995) “A Study of Two-Dimensional Cell-Centered and Vertex-Centered Control-Volume Schemes Applied to High Temperature Timber Drying”, J. Num. Heat Transfer, Part B: Fundamentals, Vol. 27, pp. 393-415.

Turner, I.W. and Ferguson, W.J., (1995) “An Unstructured Mesh Cell-Centered Control Volume Method for Simulating Heat and Mass Transfer in Porous Media: Application to Softwood Drying, Part I: The Isotropic Model, Appl. Math. Modeling”, Vol. 19.

Turner, I.W. and Ferguson, W.J., (1995) “An Unstructured Mesh Cell-Centered Control Volume Method for Simulating Heat and Mass Transfer in Porous Media: Application to Softwood Drying, Part II: The Anisotropic Model, Appl. Math. Modelling”, Vol. 19.

F.P. Incropera and D.P. De Witt, “Fundamentals of Heat and Mass Transfer”, John Widely &Sons, New York, USA, 2002.

Balliga B.R. and Patankar S.V., “A new finite-element formulation for convection–diffusion problems”, Numer Heat Transfer 1980, 3, 393–409.

Balliga B.R. and Patankar S.V., “A control-volume finite element method for two-dimensional fluid flow and heat transfer”, Numerical Heat Transfer 1983, 6, 245–6.

Christophe Geuzaine and Jean-François Remacle, “Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities”, International Journal for Numerical Methods in Engineering 2009, 79 (11), pages 1309–1331, 10.


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