Startseite Heat transfer analysis describing freezing of a eutectic system by a line heat sink with convection effect in cylindrical geometry
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Heat transfer analysis describing freezing of a eutectic system by a line heat sink with convection effect in cylindrical geometry

  • Vikas Chaurasiya , Dinesh Kumar , Kabindra Nath Rai und Jitendra Singh EMAIL logo
Veröffentlicht/Copyright: 17. Januar 2022
Zeitschrift für Naturforschung A
Aus der Zeitschrift Zeitschrift für Naturforschung A Band 77 Heft 6

Abstract

The current article devoted to study a moving boundary problem describing freezing of a eutectic system in a semi-infinite medium in cylindrical symmetry. The solidification of the material is considered by a line heat sink of strength Q place at r = 0. The heat transfer is considered due to both mechanism, conduction and convection driven by fluid motion in the liquid region, mushy region and possibly in porous solid phase. The analysis is concerned with extended freezing temperature range between solidus and liquidus temperatures respectively. The solid fraction is considered to have a linear relationship with temperature within the mushy zone. A direct integration method is used to solve the mathematical model, resulting an exact solution of the problem is obtained. To illustrate the application of current study and validity of mathematical model, a numerical example of freezing of an Al–Cu alloy with 5% Cu is presented. In addition, the temperature distribution in each region and position of moving interfaces is shown for different Peclet number. In this work, we obtained that the process of freezing becomes fast in the presence of convection. Moreover, it is shown that for a large value of Q, strength of line heat sink, the freezing of a eutectic alloy increases rapidly. Both eutectic and solid solution alloys come under the application of current study.

Keywords: convection; eutectic alloy; freezing; Peclet number; phase change fronts
Corresponding author: Jitendra Singh, Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India, E-mail:

Funding source: Banaras Hindu University

Award Identifier / Grant number: Unassigned

Acknowledgment

Vikas Chaurasiya, one of the authors is grateful to DST (INSPIRE)-New Delhi (India) for the Senior Research Fellowship vide Ref. No. DST/INSPIRE/03/2 017/000 184 (i) Ref. no/Math/2017-18/March 18/347 and also to the Department of Mathematics (Institute of Science), Banaras Hindu University (BHU), Varanasi (U.P), India, for providing necessary facilities.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-11-01
Revised: 2021-12-20
Accepted: 2021-12-21
Published Online: 2022-01-17
Published in Print: 2022-06-26

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. General
  3. Anomalous skin effects and energy transfer of R-L waves in relativistic partially degenerate plasma
  4. Atomic, Molecular & Chemical Physics
  5. Optical fiber ammonia sensor based on porous Yb3+/Er3+ co-doped NaYF4/phenol red composites
  6. Dynamical Systems & Nonlinear Phenomena
  7. Relativistic electron dynamics in magnetic fields with low-degree of field nonlinearity
  8. Gravitation & Cosmology
  9. Quantum cosmology
  10. Hydrodynamics
  11. Translationally invariant exact steady flows of gas and fluid
  12. Quantum Theory
  13. Exact path integral solutions of Dirac wave equation for an exponentially decaying magnetic field
  14. Solid State Physics & Materials Science
  15. Heat transfer analysis describing freezing of a eutectic system by a line heat sink with convection effect in cylindrical geometry
  16. Oscillating modes of thermomagnetic avalanches in superconductors
  17. Doped TiO2 slabs for water splitting: a DFT study
  18. The design of optical non-reciprocal abnormal transmission based on PT asymmetric system
https://doi.org/10.1515/zna-2021-0320
Schlagwörter für diesen Artikel
convection; eutectic alloy; freezing; Peclet number; phase change fronts

Artikel in diesem Heft

  1. Frontmatter
  2. General
  3. Anomalous skin effects and energy transfer of R-L waves in relativistic partially degenerate plasma
  4. Atomic, Molecular & Chemical Physics
  5. Optical fiber ammonia sensor based on porous Yb3+/Er3+ co-doped NaYF4/phenol red composites
  6. Dynamical Systems & Nonlinear Phenomena
  7. Relativistic electron dynamics in magnetic fields with low-degree of field nonlinearity
  8. Gravitation & Cosmology
  9. Quantum cosmology
  10. Hydrodynamics
  11. Translationally invariant exact steady flows of gas and fluid
  12. Quantum Theory
  13. Exact path integral solutions of Dirac wave equation for an exponentially decaying magnetic field
  14. Solid State Physics & Materials Science
  15. Heat transfer analysis describing freezing of a eutectic system by a line heat sink with convection effect in cylindrical geometry
  16. Oscillating modes of thermomagnetic avalanches in superconductors
  17. Doped TiO2 slabs for water splitting: a DFT study
  18. The design of optical non-reciprocal abnormal transmission based on PT asymmetric system
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