Keywords and phrases: heat transfer, thermal conductivity, thermal analysis, SOR method.
Received: June 20, 2022; Revised: July 28, 2022; Accepted: August 28, 2022; Published: September 30, 2022
How to cite this article: Mohammed Taibi, Younes Abouelhanoune and Fouad Dimane, Numerical analysis of nonlinear heat conduction in a 2D thin metal plate, JP Journal of Heat and Mass Transfer 29 (2022), 189-200. http://dx.doi.org/10.17654/0973576322051
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] V. B. James, Conduction in rectangular plates with boundary temperatures specified, International Journal of Heat and Mass Transfer 51 (2008), 4676-4690. [2] C. L. Chen and Y. C. Lin, Solution of 2 boundary problems using the differential transform method, J. Optim. Theory Appl. 99 (1998), 23-35. [3] H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed., Clarendon Press, Oxford, 1959. [4] S. Verma and V. S. Kulkarni, Thermal stress analysis of rectangular plate due to convection using finite element method, IJEIT 3(7) (2014), 111-117. [5] S. Wang et al., Two-dimensional steady state boundary shape inversion of CGM-SPSO algorithm on temperature information, Advances in Materials Science and Engineering Volume 2017, Article ID 2461498. [6] C.-Y. Lo, A study of two-step heat conduction in laser heating using the hybrid differential transform method, Numerical Heat Transfer 59(Part B) (2011), 130-146. [7] S. Benleghrib, Y. Abouelhanoune and M. El Jarroudi, Nonlinear heat transfer in rectangular plate with radiation effect, JP Journal of Heat and Mass Transfer 15(3) (2018), 483-496. [8] T. N. Mishra, Analytical solution of 2D SPL heat conduction model, IJLRET 1(4) (2015), 47-54. [9] T. T. Lam, A unified solution of several heat conduction models, Int. J. Heat Mass Transfer 56 (2013), 653-666. [10] R. E. Bank and C. C. Douglass, An efficient implementation for SSOR and incomplete factorization preconditioning, Applied Numerical Mathematics, Elsevier, 1985, pp. 489-492. [11] M. F. Modest, Radiative Heat Transfer, McGraw-Hill, New York, 1993. [12] H. B. Girija, M. P. Jeyanthi and D. A. Ashmi, Numerical analysis of 2d rectangular plate, International Conference on Mathematical Sciences, Journal of Physics: Conference Series 1770(1) (2021), 012049. [13] R. J. Moitsheki and A. Rowjee, Steady heat transfer through a two-dimensional rectangular straight fin, Mathematical Problems in Engineering 2011 (2011), 1-13. [14] J. M. Bergheau and R. Fortunier, Finite Element Simulation of Heat Transfer, ISTE Ltd., 2010.
|