کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758345 896422 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symmetry analysis of a heat conduction model for heat transfer in a longitudinal rectangular fin of a heterogeneous material
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Symmetry analysis of a heat conduction model for heat transfer in a longitudinal rectangular fin of a heterogeneous material
چکیده انگلیسی

We consider a heat conduction model arising in transient heat transfer through longitudinal fins of a heterogeneous (functionally graded) material. In this case, the thermal conductivity depends on the spatial variable. The heat transfer coefficient depends on the temperature and is given by the power law function. The resulting nonlinear partial differential equation is analyzed using both classical and nonclassical symmetry techniques. Both the transient state and the steady state result in a number of exotic symmetries being admitted by the governing equation. Furthermore, nonclassical symmetries are also admitted. Both classical and nonclassical symmetry analysis results in some useful reductions and some remarkable exact solutions are constructed.


► Classical and nonclassical symmetry analysis of a nonlinear model for heat transfer in fins.
► Study of heat transfer in fins of functionally graded material.
► Construction of invariant solutions for semi linear heat transfer problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 9, September 2013, Pages 2374–2387
نویسندگان
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