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Research Papers: Porous Media

Moving Boundary-Moving Mesh Analysis of Freezing Process in Water-Saturated Porous Media Using a Combined Transfinite Interpolation and PDE Mapping Methods

[+] Author and Article Information
P. Rattanadecho1

Faculty of Engineering,  Thammasat University (Rangsit Campus), Pathumthani 12121, Thailandratphadu@engr.tu.ac.th

S. Wongwises

Department of Mechanical Engineering,  King Mongkut's University of Technology Thonburi, 91 Suksawas 48, Rasburana, Bangkok 10140, Thailand

1

Corresponding author.

J. Heat Transfer 130(1), 012601 (Jan 25, 2008) (10 pages) doi:10.1115/1.2780177 History: Received June 14, 2006; Revised April 20, 2007; Published January 25, 2008

This paper couples the grid generation algorithm with the heat transport equations and applies them to simulate the thermal behavior of freezing process in water-saturated porous media. Focus is placed on establishing a computationally efficient approach for solving moving boundary heat transfer problem, in two-dimensional structured grids, with specific application to an undirectional solidification problem. Preliminary grids are first generated by an algebraic method, based on a transfinite interpolation method, with subsequent refinement using a partial differential equation (PDE) mapping (parabolic grid generation) method. A preliminary case study indicates successful implementation of the numerical procedure. A two-dimensional solidification model is then validated against available analytical solution and experimental results and subsequently used as a tool for efficient computational prototyping. The results of the problem are in good agreement with available analytical solution and experimental results.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 2

The parametric domain with f(u,w) specified on planes of constant u,w

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Figure 3

Strategy for calculation

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Figure 4

Validation test for a planar freezing font in a phase-change slab

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Figure 5

The interface deformation in computational domain with different numerical grids: (a) 100×50 grids (b) 100×100 grids

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Figure 6

Grid simulating the deformation of an interface: (a) freezing time of 30s, (b) freezing time of 60s, (c) freezing time of 90s, (d) freezing time of 120s, (e) freezing time of 150s, and (f) freezing time of 180s

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Figure 7

Comparison of experimental data and simulated freezing front from present numerical study

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Figure 8

The simulations of temperature distribution (Unit: °C): (a) freezing time of 30s, (b) freezing time of 60s, (c) freezing time of 90s, (d) freezing time of 120s, (e) freezing time of 150s, and (f) freezing time of 180s

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