Axisymmetric transient heat conduction analysis by bem via particular integrals

A particular integral formulation is presented for purely axisymmetric transient potential flow (heat conduction) analysis. The axisymmetric steady-state heat conduction equation is used as the complementary solution and the particular integrals for temperature and flux are derived by integrating the recently published three-dimensional formulation along the circumferential direction to obtain the required formulation involving elliptic integrals. The numerical results for three example problems are given and compared with their analytical solutions. Generally, agreement among all of those results is satisfactory, if a few interior points are added to the system equations along with the usual boundary points.