Numerical study of two-dimensional freezing in an annulus
01 Jul 1990-Journal of Thermophysics and Heat Transfer (American Institute of Aeronautics and Astronautics (AIAA))-Vol. 4, Iss: 3, pp 398-400
TL;DR: In this article, a numerical study on two-dimensional freezing in an annulus made up of an initially superheated phase-change medium is presented, where numerical results are used to deduce a relation between the non-dimensional discharge time and the other parameters.
Abstract: An evaluation is made of the results of a numerical study on two-dimensional freezing in an annulus made up of an initially superheated phase-change medium. Numerical results are used to deduce a relation between the nondimensional discharge time and the other parameters. The velocity of the freeze front decreases with time because of the increase of interface area as the freezing proceeds radially outward, followed by a marginal decrease in the freezing rate due to the presence of the adiabatic surface; sensible cooling then occurs only where the freeze front has already reached the adiabatic surface. 6 refs.
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TL;DR: In this article, the authors considered the small Stanton numbers, two-dimensional, conduction-controlled axisymmetric solidification of a medium surrounding a cylindrical coolant-carrying tube.
8 citations
TL;DR: In this article, the authors present numerical simulations of solidification in a vertical cylindrical annulus with temporal evolution of three interfaces, i.e., solid liquid, solid gas, and liquid gas with the presence of natural convection.
3 citations
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01 Jan 1984
TL;DR: In this paper, a front-tracking method is used to solve moving boundary problems and an analytical solution of seepage problems is proposed. But this method is not suitable for solving free boundary problems.
Abstract: 1. Moving boundary problems: formulation 2. Free boundary problems: formulation 3. Analytical solutions 4. Front-tracking methods 5. Front-fixing methods 6. Fixed-domain methods 7. Analytical solution of seepage problems 8. Numerical solution of free boundary problems References Author index Subject index
1,880 citations
TL;DR: In this article, the change of variable method introduced by Landau for the one-dimensional problem is extended to the multi-dimensional using an independent variable which takes constant values at the boundary and the freezing front.
Abstract: This paper presents a simple numerical method for solving two and three-dimensional freezing problems with arbitrary geometries. The change of variable method introduced by Landau for the one-dimensional problem is extended to the multi-dimensional using an independent variable which takes constant values at the boundary and the freezing front. Example calculations were performed for the Stefan type freezing problem in regular squares, triangles, and ellipses. Then some of the results were compared with the experimental ones that were obtained for the constant cooling rate.
108 citations
TL;DR: In this article, the authors present a technique for the analysis of unsteady, two-dimensional diffusive heat-or mass-transfer problems characterized by moving irregular boundaries, including an immobilization transformation and a numerical scheme.
75 citations
TL;DR: In this paper, a methodology is presented for numerical solution of transient two-dimensional diffusion-type problems (e.g., heat conduction) in which one of the boundaries of the solution domain moves with time.
67 citations
TL;DR: In this article, the conjugate phase change convection problem was solved using the solution methodology developed in the preceding paper, which was amplified, adapted, and then employed to solve the conjUGATE phase change.
51 citations