Finite element solution to transient asymmetric heat conduction in multilayer annulus Research
This study investigate the heat transfer and thermal stresses for the time-dependent asymmetric heat conduction in a multilayer annulus by using finite element method. The realistic problem of isotropic multilayer annulus subjected to heat flux with internal heat generation and initial temperature is solved. The results of temperature and thermal stress have been computed numerically, illustrated graphically and interpreted technically. These results may be used in many engineering problem like combustion chamber, electric generator, compressor, hydraulic pumps etc. MSC: 35G30 • 35K20 • 74S05 • 80A20 • 80M10
Fully discrete formulation of Galerkin-Partial artificial diffusion finite element method for coupled Burgers ’ problem
In this paper, the fully discrete formulation of Galerkin partial artificial diffusion finite element method for solving coupled Burgers’ problem in 2-D is studied . The Crank-Nicholson method for the time variable is considered. The theoretical evidence proved the stability and proved that the error estimate is of order O (h 2r +k 5 2 ). The discretization with respect to space and time variables is applied. This leads to a large system of algebraic equations which are solved through implementation in MATLAB. The numerical results are compared with the exact solution. MSC: 65NXX • 65N30
Analysing inverse heat conduction problems by the analysis of the system impulse response
Abstract The paper presents the application of the non-integer system identification (NISI) method with a focus on the analysis of the system’s impulse response. The NISI method being first published in 2001 has been applied to very different inverse heat conduction problems. The results presented in this paper are new findings developed by considering the impulse response as the characteristic of the investigated system. This assumption allows a different view to the problems where the method so far has been restricted. Examples are shown for a system with variable thermophyiscal properties and a surface under transpiration cooling.