کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
827390 | 907999 | 2012 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Generalization of the integral transform method to nonlinear heat-conduction problems in multilayered spherical media Generalization of the integral transform method to nonlinear heat-conduction problems in multilayered spherical media](/preview/png/827390.png)
A method of solving heat conduction problems in multilayered spherical media is presented; it is based on producing an alternative formulation in which the inner layer of the composite sphere is lumped and the transient temperature distribution in the outer layer is obtained, in this, the nonlinear boundary conditions are treated as a source. The temperature distribution of the alternative formulation is then solved analytically. Different parametric studies are worked out and plotted to compare the two formulations for different values of Biot number and different thermal characteristic ratio with those obtained from a numerical solution developed using an explicit finite difference method, and to find the limiting criterion where breakdown of the approximation occurs.
Journal: Journal of King Saud University - Science - Volume 24, Issue 4, October 2012, Pages 367–377