APPROXIMATE SOLUTION FOR TRANSIENT HEAT TRANSFER IN STATIC TURBULENT HE II

摘要

Analytical solution in one dimension of the heat diffusion equation in static turbulent superfluid helium (He II) is proposed by mean of integral method. Although this is an approximate method, it has proven that it gives solutions with fairly good accuracy in nonlinear fluid dynamics and heat transfer, especially in boundary layer theory. This analytical method is adequate for this class of equations because of its capability of solving non-linear problems and it proposes also a simpler alternative method to numerical calculation. To present the method and compare its accuracy, a simple case solution is compared with the exact solution and experimental data. A more general solution, taking account of the temperature dependence of the thermodynamic properties is also proposed.