NUMERICAL STUDY OF HEAT TRANSFER DURING UNSATURATED FLOW IN DUAL-SCALE POROUS MEDIA

This numerical study investigates the heat transfer during unsaturated flow in dual-scale fibrous porous media. An iterative, control-volume approach, based on energy balance in a two-layer model, is used for developing discretized equations for average temperatures in the channels and fiber bundles. A significant difference in the channel and bundle temperatures is observed near the flow front. The ratio of the outer- and inner-region pore volumes, the ratio of liquid and fiber heat capacities, and the fiber-bu ndle thermal conductivity are identified as the three important parameters for temperature distribution. The proposed model deviates significantly from the conventional single-scale model.

[1]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[2]  S. Hassanizadeh Modeling species transport by concentrated brine in aggregated porous media , 1988 .

[3]  K. Pillai Governing equations for unsaturated flow through woven fiber mats. Part 1. Isothermal flows , 2002 .

[4]  J. Bear,et al.  Introduction to Modeling of Transport Phenomena in Porous Media , 1990 .

[5]  Suresh G. Advani,et al.  Permeability characterization. Part 1: A proposed standard reference fabric for permeability , 1995 .

[6]  A. Bejan,et al.  Convection in Porous Media , 1992 .

[7]  Suresh G. Advani,et al.  Numerical simulation of unsaturated flow in woven fiber preforms during the resin transfer molding process , 1998 .

[8]  Andrew C. Long,et al.  Liquid Moulding Technologies , 1997 .

[9]  J. L. Kardos,et al.  The permeability and compressibility of aligned and cross‐plied carbon fiber beds during processing of composites , 1991 .

[10]  Muhammad Sahimi,et al.  Dynamics of Fluids in Hierarchical Porous Media. , 1992 .

[11]  Suresh G. Advani,et al.  Wicking across a Fiber-Bank , 1996 .

[12]  M. Kaviany Principles of heat transfer in porous media , 1991 .

[13]  Thomas C. Boberg,et al.  Thermal Methods of Oil Recovery , 1988 .

[14]  G. Pinder,et al.  A derivation of the equations for transport of liquid and heat in three dimensions in a fractured porous medium , 1981 .

[15]  S. Advani,et al.  A Model for Unsaturated Flow in Woven Fiber Preforms during Mold Filling in Resin Transfer Molding , 1998 .

[16]  M. Kaviany,et al.  Principles of Heat Transfer , 2001 .

[17]  S. Advani,et al.  A Simple Model for the Variation of Permeability due to Partial Saturation in Dual Scale Porous Media , 1997 .

[18]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.