A MOVING BOUNDARY-PROBLEM IN A FINITE DOMAIN

Date

1990-03-01

Author

Dursunkaya, Zafer

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

133
views

0
downloads

The heat conduction and the moving solid-liquid interface in a finite region is studied numerically. A Fourier series expansion is used in both phases for spatial temperature distribution, and the differential equations are converted to an infinite number of ordinary differential equations in time. These equations are solved iteratively for the interface location as well as for the temperature distribution. The results are compared with existing solutions for low Stefan numbers. New results are presented for higher Stefan numbers for which solutions are unavailable.

Subject Keywords

Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics

URI

https://hdl.handle.net/11511/56229

Journal

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

DOI

https://doi.org/10.1115/1.2888323

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Solidification of a finite medium subject to a periodic variation of boundary temperature Dursunkaya, Zafer (ASME International, 2003-09-01) The motion of a solid-liquid interface in a finite one-dimensional medium, subject to a fluctuating boundary temperature, is analyzed. The fluctuations are assumed to be periodic. The solution method involves a semi-analytic approach in which, at any given time, the spatial temperature distributions are represented in infinite series. The effect of the solid, liquid Stefan numbers and the unsteady boundary temperature variation is investigated. The results showed a retrograde motion of the solidification fr...
A modal superposition method for non-linear structures Kuran, B; Özgüven, Hasan Nevzat (Elsevier BV, 1996-01-25) The dynamic response of multi-degree of freedom (MDOF) non-linear structures is usually determined by the numerical integration of equations of motion. This is computationally very costly for steady state response analysis. In this study, a powerful and economical method is developed for the harmonic response analysis of non-linear structures. In this method, the equations of motion are first converted into a set of non-linear algebraic equations, and then the number of equations to be solved is reduced by ...
Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity MIEHE, CHRISTIAN; LAMBRECHT, MATTHIAS; Gürses, Ercan (Elsevier BV, 2004-12-01) We propose an approach to the definition and analysis of material instabilities in rate-independent standard dissipative solids at finite strains based on finite-step-sized incremental energy minimization principles. The point of departure is a recently developed constitutive minimization principle for standard dissipative materials that optimizes a generalized incremental work function with respect to the internal variables. In an incremental setting at finite time steps this variational problem defines a ...
Structural, electrical and anisotropic properties of Tl4Se3S chain crystals QASRAWI, ATEF FAYEZ HASAN; Hasanlı, Nızamı (Elsevier BV, 2009-10-01) The structure, the anisotropy effect on the current transport mechanism and the space charge limited current in Tl4Se3S chain crystals have been studied by means of X-ray diffraction, electrical conductivity measurements along and perpendicular to the crystal's c-axis and the current voltage characteristics. The temperature-dependent electrical conductivity analysis in the region of 150-400 K, revealed the domination of the thermionic emission of charge carriers over the chain boundaries above 210 and 270 K...
TRANSIENT WAVE-PROPAGATION IN LAYERED MEDIA CONDUCTING HEAT TURHAN, D; CELEP, Z; ZAINEDDEN, IK (Elsevier BV, 1991-01-22) Transient wave propagation in thermoelastic layered composites consisting of alternating isotropic, homogeneous and linearly elastic high-strength reinforcing and low-strength matrix layers is investigated. The layers of the composite medium can be plane, cylindrical or spherical. The inner surfaces of the composite bodies are subjected to uniform time dependent dynamic inputs. A common formulation is employed for the three types of layered media. The generalized theory of thermoelasticity is used, with the...

Citation Formats

Z. Dursunkaya, “A MOVING BOUNDARY-PROBLEM IN A FINITE DOMAIN,” JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, pp. 50–56, 1990, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56229.