کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
660178 1458122 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An exact analytical solution for two-dimensional, unsteady, multilayer heat conduction in spherical coordinates
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
An exact analytical solution for two-dimensional, unsteady, multilayer heat conduction in spherical coordinates
چکیده انگلیسی

Analytical series solution is proposed for the transient boundary-value problem of multilayer heat conduction in r–θ spherical coordinates. Spatially non-uniform, but time-independent, volumetric heat sources may exist in the concentric layers. Proposed solution is valid for any combination of homogenous boundary conditions of the first or second kind in the θ -direction. However, inhomogeneous boundary conditions of the first, second or third kind may be applied at the inner and outer radial boundaries of the concentric layers. It is noted that the proposed solution is “free” from imaginary eigenvalues. Real eigenvalues are obtained by virtue of precluded explicit dependence of radial eigenvalues on those in the θ-direction. Solution is shown to be relatively simple for the most common spherical geometries−(multilayer) hemisphere and full sphere. An illustrative problem of heat conduction in a three-layer hemisphere is solved. Results along with the isotherms are shown graphically and discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Heat and Mass Transfer - Volume 53, Issues 9–10, April 2010, Pages 2133–2142
نویسندگان
, , ,