MODELING OF TWO-DIMENSIONAL SOLIDIFICATION OF A FINITE CYLINDER

Date

2016-01-01

Author

ODABAŞI, Gülnihal
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

110
views

0
downloads

Two-dimensional solidification problem of a finite cylinder, in which the liquid phase is initially at the fusion temperature, is solved by using a front fixing approach. The external surfaces of the cylinder are subjected to a temporally or spatially varying temperature below freezing. The method employed is based on one used for the solution of a solidification problem in Cartesian domain. A coordinate transformation is applied in both radial and axial directions to obtain a square computational domain. This transformation results in a computationally intensive grid generation for every time step of solution. Finite difference form of the transformed energy equation is solved for the temperature distribution in the solid phase and the solid-liquid interface energy balance is integrated for the new position of the moving solidification front. The effect of the aspect ratio and spatially varying boundary temperatures on solidification is studied.

Subject Keywords

Solidification, Phase change, Moving boundary problem, Coordinate transformation, Front fixing

URI

https://hdl.handle.net/11511/52608

Journal

ISI BILIMI VE TEKNIGI DERGISI-JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Calculation of the P-T phase diagram of nitrogen using a mean field model Enginer, Y.; Algul, G.; Yurtseven, Hasan Hamit (2017-12-20) The P-T phase diagram is calculated at low and moderate pressures by obtaining the phase line equations for the transitions considered in nitrogen using the Landau phenomenological model. For some transitions, a quadratic coupling between the order parameters is taken into account in the expansion of free energies in terms of the order parameters. A quadratic function in T and P is fitted to the experimental P-T data from the literature and the fitted parameters are determined.
Calculation of the thermodynamic functions using a mean field model for the fluid-solid transition in nitrogen AKAY, Özge; Yurtseven, Hasan Hamit (Romanian Academy - Revue Roumaine De Chimie, 2020-05-01) Temperature and pressure dependence of the thermodynamic quantities are calculated using the Landau phenomenological model for the first order fluid-solid transition in nitrogen. This calculation is performed by fitting the phase line equation as derived from the mean field model to the observed T-P phase diagram of the fluid-solid transition in N2 from the literature. Our calculations show that the order parameter and the inverse susceptibility decrease whereas the entropy, heat capacity, thermal expansion...
Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects Barışık, Murat; Yazıcıoğlu, Almıla Güvenç; Çetin, Barbaros; Kakaç, Sadık (Elsevier BV, 2015-10) The solution of extended Graetz problem for micro-scale gas flows is performed by coupling of rarefaction, axial conduction and viscous dissipation at slip flow regime. The analytical coupling achieved by using Gram-Schmidt orthogonalization technique provides interrelated appearance of corresponding effects through the variation of non-dimensional numbers. The developing temperature field is determined by solving the energy equation locally together with the fully developed flow profile. Analytical solutio...
Approximate Solution of the Effective Mass Klein-Gordon Equation for the Hulthen Potential with Any Angular Momentum Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2009-04-01) The radial part of the effective mass Klein-Gordon equation for the Hulthen potential is solved by making an approximation to the centrifugal potential. The Nikiforov-Uvarov method is used in the calculations. Energy spectra and the corresponding eigenfunctions are computed. Results are also given for the case of constant mass.
Calculation of the thermodynamic quantities from the Raman frequency shifts and the Pippard relations for the alpha, -alpha and alpha ' phases of oxygen Tari, O.; Yurtseven, Hasan Hamit (2018-01-01) Thermodynamic quantities such as the isothermal compressibility, thermal expansion and the difference in the specific heat are calculated as a function of pressure (T=10 K) for the alpha,-alpha and alpha ' phases of oxygen using the observed Raman frequencies of the two librons and one vibron from the literature through the mode Gruneisen parameter for this molecular solid. Calculated thermodynamic quantities decrease with increasing pressure with some discrepancies due to the different pressure - induced R...

Citation Formats

G. ODABAŞI and Z. Dursunkaya, “MODELING OF TWO-DIMENSIONAL SOLIDIFICATION OF A FINITE CYLINDER,” ISI BILIMI VE TEKNIGI DERGISI-JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY, pp. 61–68, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52608.