... elimination. biological laser partial differential equations heat equation 15 09 2010 08 11 2011 30 04 2012 02 05 2012 2012 American Society of Mechanical Engineers ...

..., in-domain distributed temperature converges to its desired steady-state temperature. 29 10 2010 19 06 2011 18 11 2011 18 11 2011 heat conduction Lyapunov methods numerical analysis partial differential equations specific heat temperature distribution thermal conductivity...

... approach is adopted to comprehensively describe thermal characteristics of that new device. With a view to obtaining more practical expressions than accepted before, the Galerkin method based on the variational principle is used to solve governing partial differential equations. The induced tidal...

... assumptions. A wavy to flat surface transformation is applied, and the resulting coupled nonlinear partial differential equations under Boussinesq approximation are reduced to boundary layer equations. A finite difference scheme based on the Keller-Box approach has been used in conjunction with block...

... combination of fluid/solid domains. 03 02 2010 07 01 2011 07 03 2011 07 03 2011 convection design engineering flow simulation partial differential equations forced convection compact model heat transfer coefficient Heat transfer in electronic systems has received...

... equations admit similarity solutions, which are more revealing than the direct numerical integration of the partial differential equations. The problem of steady forced boundary layer flow past a needle has been studied by many researchers, but we mention only the papers by Narain and Uberoi ( 1 2 ), Chen...

...W. A. Khan; I. Pop The effects of the presence of an isotropic solid matrix and radiation on the forced convection boundary layer past a continuously moving flat plate is studied theoretically. The transformed nondimensional partial differential equations are solved numerically for some values...

... distributions in the bed and at the air outlet are sampled over a short time period. The convective heat transfer coefficient is determined using data from the convective heat transfer process in the bed where the analysis includes the partial differential equation that describes the transient energy storage...

...Hossein Rastgoftar; Mohammad Eghtesad; Alireza Khayatian In this paper, an analytical method and a partial differential equation based solution to control temperature distribution for functionally graded (FG) plates is introduced. For the rectangular FG plate under consideration, it is assumed...

... boundary-value problems convection partial differential equations partial differential equations boundary value problems unsteady nonlinear heat-conduction problems combined convective and radiative cooling homotopy analysis method Problems of transient heat-conduction in a solid...

... partial differential equations of the MHD convective mass transfer flow are reduced to nonlinear ordinary differential equations by introducing suitable similarity transformations. The nonlinear similarity equations are then solved numerically by Nachtsheim–Swigert iteration technique. The results...

.... Therefore we believe that the original single- and dual-phase-lagging heat conduction models are more advantageous in modeling the microscale heat conduction problems. 11 10 2007 24 05 2008 24 09 2008 heat conduction partial differential equations special relativity transport...

...) with that of the k - ε turbulence model in predicting the flow field. A finite difference method has been used to solve a system of coupled partial differential equations. A comparison has been carried out between the numerical results obtained in the present work and experimental and numerical data reported...

... generation partial differential equations porous materials solidification transfinite interpolation PDE mapping moving boundary Transient heat transfer problems involving solidification or melting processes generally refer to as “moving boundary” or “phase change.” Solidification...

... rates in the enclosure. The Galerkin finite element method with penalty parameter has been used to solve the nonlinear coupled partial differential equations for flow and temperature field. The objective is to determine the influence of the temperature difference aspect ratio on the flow, temperature...

... at the liquid-vapor interface and the disjoining pressure have been used in the momentum balance equation of the model. The sensible heat used by the substrate is also taken into account using a pseudo-lump capacity model. The coupled nonlinear partial differential equations governing the transient fluid flow...

... with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved numerically by a finite-difference method. The features of the flow and heat transfer characteristics for different values of the governing...

... equations, in conjunction with the ideal gas equation of state. The set of partial differential equations is solved using the finite volume method, for a square and a right-angled isosceles triangular enclosure, accounting for the second-order accurate QUICK and SIMPLE schemes. The grid layouts rendered...

... of shrinking bodies has been developed where the moisture content and temperature fields in the drying body are expressed by a system of two coupled partial differential equations. The shrinkage effect was incorporated through the experimentally obtained changes of the specific volume of the drying body...

... are required. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a nonsimilar transformation, and the resulting system of nonlinear coupled partial differential equations is then solved by an implicit finite difference scheme in combination...