0
RESEARCH PAPERS: Applications

Fixed Grid Simulation of Radiation-Conduction Dominated Solidification Process

[+] Author and Article Information
Piotr Łapka

Institute of Heat Engineering, Warsaw University of Technology, Nowowiejska Street 21/25, Warsaw 00-665, Polandplapka@itc.pw.edu.pl

Piotr Furmański

Institute of Heat Engineering, Warsaw University of Technology, Nowowiejska Street 21/25, Warsaw 00-665, Polandpfurm@itc.pw.edu.pl

J. Heat Transfer 132(2), 023504 (Dec 02, 2009) (10 pages) doi:10.1115/1.4000188 History: Received October 30, 2008; Revised May 25, 2009; Published December 02, 2009; Online December 02, 2009

In this paper conduction-radiation controlled solidification process of semitransparent materials was numerically analyzed. New approach in this kind of simulations, which is based on the fixed grid front tracking method combined with the immersed boundary technique, was adopted and examined. The presented method enables accurate dealing with solidification processes of semitransparent materials which have different optical and thermophysical properties of solid and liquid phases as well as with absorption, emission, and reflection of the thermal radiation at the solid-liquid interface without applying moving mesh methods. The proposed numerical approach was examined by solving several simplified thermal radiation problems with complex fixed and moving boundaries both in two-dimensional and axisymmetric spaces. For some of them the accuracy of obtained results was proved by comparing with reference works, other showed capabilities of the proposed method. For simplified solidification processes of semitransparent materials three configurations of optical properties, i.e., semitransparent solid phase and opaque liquid phase, opaque solid phase and semitransparent liquid phase, and semitransparent both phases were considered. The interface between solid and liquid phases was treated to be opaque, absorbing, emitting, and reflecting diffusely the thermal radiation. Results of the numerical simulations show that the presented numerical approach works well in this kind of problems and is promising for simulation of real solidification processes of semitransparent materials.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Scheme for interpolation: (a) normal temperature gradients at interface and (b) gradients at faces of trapezoidal cells

Grahic Jump Location
Figure 2

Sketch of control volume, which adjoins the solid-liquid interface, and a view of the overhanging control angles. Face intensities (ii=1,2,3m) were interpolated following step scheme Eq. 21, whereas the interface intensities (ii=1,2m) following Eq. 29.

Grahic Jump Location
Figure 3

Comparison of dimensionless radiative heat fluxes distribution at the bottom wall of the two-dimensional semicircular enclosure with an internal circle

Grahic Jump Location
Figure 4

Comparison of dimensionless radiative heat fluxes distribution at the right wall of the axisymmetric nozzle-shaped enclosure

Grahic Jump Location
Figure 5

Comparison of transient dimensionless temperature distribution along the centerline for two-dimensional conduction-radiation heat transfer for an absorbing, emitting, and isotropically scattering medium with ω=0.5

Grahic Jump Location
Figure 6

Schematic sketches of computational domains: (a) two-dimensional and (b) axisymmetric

Grahic Jump Location
Figure 7

Temperature distributions along x∗=0.5 (left) and front locations (right) for varying Nr ((a) semitransparent solid phase, opaque liquid phase; (b) opaque solid phase, semitransparent liquid phase; and (c) semitransparent both phases)

Grahic Jump Location
Figure 8

Temperature distributions along x∗=0.5 (left) and front locations (right) for varying τ ((a) semitransparent solid phase, opaque liquid phase; (b) opaque solid phase, semitransparent liquid phase; and (c) semitransparent both phases)

Grahic Jump Location
Figure 9

Temperature distributions along line d∗ (left) and front locations (right) for different optical configurations (case A: semitransparent solid phase, opaque liquid phase; case B: opaque solid phase, semitransparent liquid phase; and case C: semitransparent both phases)

Grahic Jump Location
Figure 10

Temperature distributions along line d∗ (left) and front locations (right) for varying Nr for case C: semitransparent both phases

Grahic Jump Location
Figure 11

Temperature distributions along line d∗ (left) and front locations (right) for varying τ for case C: semitransparent both phases

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In