Exact analytical solution of unsteady axi-symmetric conductive heat transfer in cylindrical orthotropic composite laminates

2012 ◽  
Vol 55 (15-16) ◽  
pp. 4427-4436 ◽  
Author(s):  
A. Amiri Delouei ◽  
M. H. Kayhani ◽  
M. Norouzi
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Composite Laminates ◽  
Exact Analytical Solution ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Orthotropic Composite

Exact Solution of Unsteady Conductive Heat Transfer in Cylindrical Composite Laminates

2012 ◽  
Vol 134 (10) ◽  
Author(s):  
M. Norouzi ◽  
S. M. Rezaei Niya ◽  
M. H. Kayhani ◽  
M. Shariati ◽  
M. Karimi Demneh ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Exact Solution ◽  
Temperature Distribution ◽  
Composite Laminates ◽  
Exact Analytical Solution ◽  
Conductive Heat Transfer ◽  
Orthotropic Materials ◽  
Conductive Heat ◽  
Multilayer Composite ◽  
Unsteady Temperature

This paper presents an exact analytical solution for unsteady conductive heat transfer in a cylindrical multilayer composite laminate. Here, it is supposed that fibers have been wound around the cylinder in each lamina. In order to find the exact solution, the Laplace transformation is applied on anisotropic heat conduction equation to convert the time scale of problem to frequency scale and the separation of variable method is used to solve the resulted partial differential equations. The effect of fibers arrangements of multilayer cylindrical laminates and thermal boundary conditions on unsteady conductive heat transfer of these orthotropic materials is studied based on the exact solution that is presented in the current investigation. The analytical results illustrated that the unsteady temperature distribution in any multilayer composite laminates is in a state between the temperature distribution in single layer laminates with fibers’ angle equal to 0 deg and 90 deg.

Exact Analytical Solution for Unsteady Heat Conduction in Fiber-Reinforced Spherical Composites Under the General Boundary Conditions

2015 ◽  
Vol 137 (10) ◽  
Author(s):  
A. Amiri Delouei ◽  
M. Norouzi
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Analytical Solution ◽  
Boundary Conditions ◽  
Laplace Transformation ◽  
Exact Analytical Solution ◽  
Function Technique ◽  
Conductive Heat ◽  
Fiber Reinforced ◽  
Legendre Series

The current study presents an exact analytical solution for unsteady conductive heat transfer in multilayer spherical fiber-reinforced composite laminates. The orthotropic heat conduction equation in spherical coordinate is introduced. The most generalized linear boundary conditions consisting of the conduction, convection, and radiation heat transfer is considered both inside and outside of spherical laminate. The fibers' angle and composite material in each lamina can be changed. Laplace transformation is employed to change the domain of the solutions from time into the frequency. In the frequency domain, the separation of variable method is used and the set of equations related to the coefficients of Fourier–Legendre series is solved. Meromorphic function technique is utilized to determine the complex inverse Laplace transformation. Two functional cases are presented to investigate the capability of current solution for solving the industrial unsteady problems in different arrangements of multilayer spherical laminates.

scholarly journals Analytical Solution of Problems about the Radiative and Radiative–Conductive Stationary Heat Transfer in a Medium with an Arbitrary Dependence of the Scattering and Absorption on Frequency Boundary Conditions

Energies ◽  
2021 ◽  
Vol 14 (19) ◽  
pp. 6339
Author(s):  
Eugene Shamparov ◽  
Sergey Rode ◽  
Anatoly Bugrimov ◽  
Inna Zhagrina
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Outer Boundary ◽  
Radiant Heat ◽  
Conductive Heat Transfer ◽  
Radiant Heat Transfer ◽  
Conductive Heat ◽  
Parallel Surfaces ◽  
Arbitrary Frequency ◽  
Stationary Heat Transfer

We defined a method for the analytical solution of problems on stationary radiative and radiative–conductive heat transfer in a medium with an arbitrary frequency dependence of absorption and scattering near its boundary. We obtained formulas for the heat conductance of the remote surface and the thickness of the radiative–conductive relaxation of the medium. We determined characteristics of radiant heat transfer from the medium to free space such as the radiation spectrum, the radiation temperature and the medium outer boundary temperature. In addition, we solved the problem on the radiative–conductive heat transfer from one of two parallel surfaces to another with a medium between them.

Radiative and conductive heat transfer through thermal insulations with foil barriers

2002 ◽  
Author(s):  
Piotr Furmanski ◽  
Tomasz S. Wisniewski
Keyword(s):  
Heat Transfer ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Thermal Insulations

Nondegeneracy of optimality conditions in control problems for a radiative–conductive heat transfer model

2016 ◽  
Vol 289 ◽  
pp. 371-380 ◽  
Author(s):  
Alexander Yu. Chebotarev ◽  
Andrey E. Kovtanyuk ◽  
Gleb V. Grenkin ◽  
Nikolai D. Botkin ◽  
Karl-Heinz Hoffmann
Keyword(s):  
Heat Transfer ◽  
Optimality Conditions ◽  
Heat Transfer Model ◽  
Conductive Heat Transfer ◽  
Control Problems ◽  
Transfer Model ◽  
Conductive Heat

Coupled Radiative and Conductive Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media Using Finite Elements

1984 ◽  
Vol 106 (3) ◽  
pp. 613-619 ◽  
Author(s):  
M. M. Razzaque ◽  
J. R. Howell ◽  
D. E. Klein
Keyword(s):  
Heat Transfer ◽  
Flux Distribution ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Heat Flux Distribution ◽  
Distributed Energy ◽  
Participating Media ◽  
Rectangular Enclosure

A numerical solution of the exact equations of coupled radiative/conductive heat transfer and temperature distribution inside a medium, and of the heat flux distribution at all the gray walls of a two-dimensional rectangular enclosure with the medium having uniform absorbing/emitting properties, using the finite element method, is presented. The medium can also have distributed energy sources. Comparison is made to the results of the P-3 approximation method.

Non-stationary radiative-conductive heat transfer in a layer with partially absorbing boundaries

2009 ◽  
Vol 16 (2) ◽  
pp. 283-289 ◽  
Author(s):  
N. A. Rubtsov ◽  
S. D. Sleptsov
Keyword(s):  
Heat Transfer ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Absorbing Boundaries

Erratum: “Oscillatory Conductive Heat Transfer for a Fiber in an Ideal Gas” (Journal of Heat Transfer, 1985, 107, pp. 52–56)

1985 ◽  
Vol 107 (2) ◽  
pp. 504-505
Author(s):  
H. L. Kuntz ◽  
N. D. Perreira
Keyword(s):  
Heat Transfer ◽  
Ideal Gas ◽  
Conductive Heat Transfer ◽  
Conductive Heat
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