Boubaker Polynomials Weak Solutions to a Robin Boundary Conditioned Dynamic-State Heat Transfer Problem

2009 ◽  
Vol 131 (11) ◽  
Author(s):  
K. ben Mahmoud Boubaker
Keyword(s):  
Heat Transfer ◽  
Weak Solutions ◽  
Transfer Equation ◽  
Transfer Problem ◽  
Local Heat Transfer ◽  
Local Heat ◽  
Dynamic State ◽  
Heat Transfer Equation ◽  
Boubaker Polynomials ◽  
Robin Boundary

In this paper we are concerned with the solution of a Robin boundary conditioned problem associated with the local heat transfer equation. The results are obtained using both symmetrical system features and expansions of a Boubaker polynomial subsequence. The yielded profile is compared with some recently proposed models.

Boubaker Polynomials Expansion Scheme Solution to the Heat Transfer Equation Inside Laser Heated Biological Tissues

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
M. A. Aweda ◽  
M. Agida ◽  
M. Dada ◽  
O. B. Awojoyogbe ◽  
K. Isah ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Numerical Simulations ◽  
Laser Heating ◽  
Transfer Equation ◽  
Biological Tissues ◽  
Heat Transfer Equation ◽  
Boubaker Polynomials ◽  
Laser Heated ◽  
Expansion Scheme

In this study, an analytical solution to the heat transfer equation in biological tissues during laser heating is presented. The results were compared to recently published numerical simulations.

scholarly journals New integral transforms for solving a steady heat transfer problem

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 79-87 ◽  
Author(s):  
Xiao-Jun Yang
Keyword(s):  
Heat Transfer ◽  
Transfer Equation ◽  
Transfer Problem ◽  
Integral Transforms ◽  
Heat Transfer Problem ◽  
Heat Transfer Equation ◽  
First Time ◽  
Steady Heat

The new Fourier-like integral transforms ?(?)= ? ???? ?(t)e-ikt dt, ?(?)= 1/????? ?(t)e-i?t dt, ?(?) 1/? ???? ?(t)e-it/? dt, ?(?)= ????? ?(t)e-it/? dt are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.

Convective Heat Transfer on a Rotating Disk With Transverse Air Crossflow

2010 ◽  
Vol 133 (2) ◽  
Author(s):  
Benjamin Latour ◽  
Pascale Bouvier ◽  
Souad Harmand
Keyword(s):  
Heat Transfer ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Transfer Problem ◽  
Convective Heat Transfer Coefficient ◽  
Local Heat Transfer ◽  
Rotating Disk ◽  
Reynolds Numbers ◽  
Local Heat ◽  
Spatio Temporal

In this study, the local convective heat transfer from a rotating disk with a transverse air crossflow was evaluated using an infrared thermographic experimental setup. Solving the inverse conduction heat transfer problem allows the local convective heat transfer coefficient to be identified. We used the specification function method along with spatio-temporal regularization to develop a model of local convective heat transfer in order to take lateral conduction and 2D geometry into account. This model was tested using rotational Reynolds numbers (based on the cylinder diameter and the peripheral speed) between 0 and 17,200 and air crossflow Reynolds numbers between 0 and 39,600. In this paper, the distribution of the local heat transfer on the disk allows us to observe the combined effect of the rotation and air crossflow on heat exchanges. This coupling is able to be taken into account in a correlation of mean Nusselt number relative to both Reynolds numbers.

Sign in / Sign up

Export Citation Format

Share Document