A Good Approximate Solution of Heat Conduction Equations in Cylindrical Coordinates Composite Media.

Authors

S. Behiry, Mathematics & Physics Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.
B. Abdel-Hamid, Mathematics & Computer Science Department., Faculty of Science United Arab Emirates University.
M. Helal, Mathematics & Physics Engineering Department., Faculty of Engineering., Zagazig University., Zagazig., Egypt.Follow

Corresponding Author

Behiry, S.

Subject Area

Mathematics and Engineering Physics

Article Type

Original Study

Abstract

An approximate analysis of transient heat diffusion problem in two composite cylindrical media is investigated. A new formulation of the problem is introduced in which the outer layer of the composite cylinders is lumped by assuming a uniform temperature distribution throughout. The temperature, however, is allowed to vary with time. this assumption reduces the two layers problem to a one region problem with a new set of boundary conditions which compensates the effect of the lumped outer layer. The temperature distribution of the approximate formulation is than compared to the exact distribution obtained analytically. A" breakdown" criterion of the approximation is obtained.

Recommended Citation

Behiry, S.; Abdel-Hamid, B.; and Helal, M. (2021) "A Good Approximate Solution of Heat Conduction Equations in Cylindrical Coordinates Composite Media.," Mansoura Engineering Journal: Vol. 23 : Iss. 2 , Article 5.
Available at: https://doi.org/10.21608/bfemu.2021.149965