الفهرس | Only 14 pages are availabe for public view |
Abstract This thesis describes the solutions of boundary value problems for heat conduction equa- tion in physically inhomogeneous moving composite solids by the integral transformations method. A heat conduction problem inhomogeneous physically moving compound bodies, which consists of two cylinders and two parallelepiped are considered, and describe temper- ature distribution with discontinuous boundary conditions in non-homogeneous moving the entire cylinder, which moves on the axis oz with any movement law z = S(t) . For deriv- ing an analytical solution for the problems, using the method insertion of the unit function η(t − S−1(z)), and the Cauchy’s residue theory and applying the successive transformations method is used. Our approximate solution is constructed. Using Bessel functions theory and general integral transforms theory. In order to illustrate theoretical results in this thesis, we gave some programs in Maple program for some special cases, where numerical solutions were presented with explained graphics and discussed. |