... less than the ambient temperature at least by 5 °C. 14 04 2010 31 03 2011 01 04 2011 01 08 2011 01 08 2011 convection cryogenics evaporation ice initial value problems integration Runge-Kutta methods two-phase flow cryogenic fluid nitrogen evaporator...

... semiconductors finite element analysis Galerkin method high-speed optical techniques laser beam effects phonons Runge-Kutta methods semiconductor thin films silicon 08 04 2009 19 12 2009 04 06 2010 04 06 2010 2010 American Society of Mechanical Engineers ...

... time electron-phonon interactions finite element analysis Galerkin method gold laser beam effects melting metallic thin films Runge-Kutta methods specific heat The physics of short-pulse laser heating of metallic films is very complex and has been the subject of many investigations ( 1...

...) film condensation film flow flow through porous media heat transfer liquid films nonlinear differential equations porous materials Runge-Kutta methods wall suction filmwise condensation porous medium The problem of laminar film condensation on a vertical or nearly vertical wall...

...A. M. Kalteh; A. Abbassi In this work the similarity solution of the thermal boundary layer for a laminar axisymmetric jet with viscous dissipation is derived and solved numerically, using a fourth-order Runge-Kutta method. The results are compared with the existing solutions, in which viscous...

... instability laminar flow rotational flow flow through porous media viscosity thermal conductivity nonlinear differential equations partial differential equations Runge-Kutta methods The problem of the flow over a rotating disk has a long history, in particular rotating disk flow with heat...

... Methods , Cambridge University Press , Cambridge, UK. 23 03 2004 10 06 2005 phase change materials flow instability specific heat Runge-Kutta methods finite difference methods Newton-Raphson method eigenvalues and eigenfunctions natural convection slurries two-phase flow...

.... A sixth-order compact finite difference scheme is employed for spatial discretization while a third-order explicit Runge-Kutta method is adopted for temporal integration. Extensive spatial and temporal resolution tests have been performed to ensure accurate numerical solutions. The simulations cover...