Next Article in Journal
Developing a Numerical Method of Risk Management Taking into Account the Decision-Maker’s Subjective Attitude towards Multifactorial Risks
Previous Article in Journal
Applications of Modified Bessel Polynomials to Solve a Nonlinear Chaotic Fractional-Order System in the Financial Market: Domain-Splitting Collocation Techniques
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Computation
Volume 11
Issue 7
10.3390/computation11070131
computation-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies

by
Humam Kareem Jalghaf
1,2,
Endre Kovács
1,*,
Imre Ferenc Barna
3 and
László Mátyás
4
1
Institute of Physics and Electrical Engineering, University of Miskolc, 3515 Miskolc, Hungary
2
Department of Mechanical Engineering, University of Technology-Iraq, 19006 Baghdad, Iraq
3
Wigner Research Center for Physics, 1051 Budapest, Hungary
4
Department of Bioengineering, Sapientia Hungarian University of Transylvania, 530104 Miercurea Ciuc, Romania
*
Author to whom correspondence should be addressed.
Computation 2023, 11(7), 131; https://doi.org/10.3390/computation11070131
Submission received: 28 May 2023 / Revised: 22 June 2023 / Accepted: 3 July 2023 / Published: 5 July 2023
Browse Figures
Review Reports Versions Notes

Abstract

New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally stable finite difference methods. After this, real experimental data from the literature regarding a heated cylinder are reproduced using the explicit numerical methods as well as using Finite Element Methods (FEM) ANSYS workbench. Convection and nonlinear radiation are also considered on the boundary of the cylinder. The verification results showed that the numerical methods have a high accuracy to deal with cylindrical and spherical bodies; also, the comparison of the temperatures for all approaches showed that the explicit methods are more accurate than the commercial software.
Keywords: numerical time integration; diffusion equation; heat equation; cylindrical coordinates; spherical coordinates; unconditional stability numerical time integration; diffusion equation; heat equation; cylindrical coordinates; spherical coordinates; unconditional stability

Share and Cite

MDPI and ACS Style

Jalghaf, H.K.; Kovács, E.; Barna, I.F.; Mátyás, L. Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. Computation 2023, 11, 131. https://doi.org/10.3390/computation11070131

AMA Style

Jalghaf HK, Kovács E, Barna IF, Mátyás L. Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. Computation. 2023; 11(7):131. https://doi.org/10.3390/computation11070131

Chicago/Turabian Style

Jalghaf, Humam Kareem, Endre Kovács, Imre Ferenc Barna, and László Mátyás. 2023. "Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies" Computation 11, no. 7: 131. https://doi.org/10.3390/computation11070131

APA Style

Jalghaf, H. K., Kovács, E., Barna, I. F., & Mátyás, L. (2023). Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. Computation, 11(7), 131. https://doi.org/10.3390/computation11070131

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop