A new approach for the heat balance integral method applied to heat conduction problems Walber Braga, Marcia Mantelli, João Azevedo 43rd AIAA Aerospace Sciences Meeting and Exhibit Meeting Papers, 2005 In the present paper, the heat conduction problem for the semi-infinite solid, with prescribed temperature and heat flux boundary conditions is solved. The Heat Balance Integral Method, based on an n exponent temperature profile is applied. One of the main concerns of this work is the determination of the parameter n, obtained using an energy balance in the solid. The literature classical solutions (Carslaw and Jaeger, 1959), were used in the comparison with temperature distributions obtained for several different values of n profiles, showing that the parameters selected in the present paper are the best ones. Different values were obtained for the prescribed heat flux and for the prescribed temperature boundary condition problems. The results obtained are useful for the design of the thermal protection systems in reentry space vehicles.
Approximate analytical solution for one-dimensional finite ablation problem with time-constant heat flux 37th AIAA Thermophysics Conference, 2004
Approximate analytical solution for one-dimensional ablation problem with time-variable heat flux 36th AIAA Thermophysics Conference, 2003
Eletrical analogy modeling for one-dimensional ablation problem 8th AIAA ASME Joint Thermophysics and Heat Transfer Conference, 2002
