Steady state heat conduction in cylinders with multiple continuous line heat sources

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations

Heat diffusion in inhomogeneous media Steady state conduction

The system under examination consists of a mix of N discrete particles embedded in an otherwise continuous matrix. We will assume that the particles are spheres. The spheres each have a radius Ri, thermal conductivity κi, and position ri = (xi, yi, zi) relative to a common origin, for i = 1, 2, . . . , N . Assume that the radii are dimensionless (scaled with an appropriate length, e.g., the ave...

Non-steady-state heat conduction in composite walls.

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but neither temperature nor heat flux is prescribed there. Instead, the physical assumptions of their continuity at the interfaces are the only conditions imposed. T...

Optimal Pareto Parametric Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method

Numerical solutions obtained by the Meshless Local Petrov-Galerkin (MLPG) method are presented for two dimensional steady-state heat conduction problems. The MLPG method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. The penalty method is adopted to efficiently enforce the essential boundary co...