...Alaeddin Malek; Zahra Kalateh Bojdi; Parisa Nuri Niled Golbarg In the present work, we investigate laser heating of nanoscale thin-films irradiated in three dimensions using the dual phase lag (DPL) model. A numerical solution based on mixed-collocation, finite difference method has been employed...

... is neglected which allows establishing a fully developed flow. The energy equation is solved by using a LU decomposition coupled with control volume technique based on finite difference method. Four thermal conductivity models are adopted in this paper, that is, constant thermal conductivity model, linear...

... ( Pr 2 / 3 - 1 ) 09 01 2011 08 08 2011 13 12 2011 13 12 2011 coolants cooling equations of state finite difference methods flow simulation heat exchangers heat radiation Joule-Thomson effect natural convection refrigerators stainless steel...

...Like Li; Renwei Mei; James F. Klausner; David W. Hahn Collisional heat transfer between two contacting curved surfaces is investigated computationally using a finite difference method and analytically using various asymptotic methods. Transformed coordinates that scale with the contact radius...

... combustion desorption external flows finite difference methods finite volume methods flames flow instability flow simulation flow through porous media heat transfer hydrogen iterative methods mass transfer oxygen platinum temperature distribution catalytic surface reaction hydrogen/air...

... the regions were obtained in terms of various parameters such as inertial force, Grashof, Reynolds, and Brinkman numbers, as well as various types of viscous dissipation models. In addition, numerical solution was conducted using finite difference method to compare the results. The predicted results clearly...

... and constant wall concentration and solved numerically by using marching finite-difference scheme. free convection Darcy porous medium Soret and Dufour effects Keller-Box finite difference methods flow through porous media natural convection partial differential equations thermal diffusion...

... an implicit finite difference method under the similarity assumption and these results are used to compute the entropy generation rate N s , irreversibility ratio Φ , and the Bejan number Be for both Newtonian and non-Newtonian fluids. The effects of viscous frictional parameter G , Rayleigh number Ra...

... boundary layers convection external flows finite difference methods friction laminar flow magnetohydrodynamics plates (structures) stagnation flow boundary layer dual solutions induced magnetic field MHD mixed convection The case of a steady magnetohydrodynamic (MHD) stagnation...

... . 10.1115/1.1824108 carbon chemically reactive flow computational fluid dynamics confined flow dissociation finite difference methods finite volume methods heat radiation hydrogen nucleation swirling flow temperature distribution two-phase flow computational flow dynamics solar...

...M. Tadi This note is concerned with a fixed-grid finite difference method for the solution of one-dimensional free boundary problems. The method solves for the field variables and the location of the boundary in separate steps. As a result of this decoupling, the nonlinear part of the algorithm...

... (the other three boundaries are black) and is isotropically scattering. The transient differential energy equation is discretized by the fully implicit finite difference method, and the radiative source term of the energy equation is expressed by the radiative transfer coefficients (RTCs). The integrality...

...T. Chinyoka We investigate, using direct numerical simulations, the effects of viscoelasticity on pressure driven flows of thermally decomposable liquids in channels. A numerical algorithm based on the finite difference method is implemented in time and space with the Phan–Thien–Tanner as the model...

.... The implicit finite-difference method discussed by Blottner ( 14 ) proved to produce accurate results for this problem. The previous equations were discretized using three-point central different quotients for the second derivative terms. The resulting tridiagonal system of algebraic equations was then solved...

...Chandrashekhar Varanasi; Jayathi Y. Murthy; Sanjay Mathur A meshless finite difference method is developed for solving conjugate heat transfer problems. Starting with an arbitrary distribution of mesh points, derivatives are evaluated using a weighted least-squares procedure. The resulting system...

... transfer is complicated by the forced flow. The governing unsteady, two-dimensional flow and energy equations for the gas cavity and unsteady heat conduction equation for solid walls, written in dimensionless form, have been solved using implicit finite-difference method. The solution has been obtained...

... 2010 convection finite difference methods heat conduction shapes (structures) temperature distribution thermal conductivity transient heat conduction hollow cylinder variable thermal conductivity optimal linearization The thermal design of heat sink rocket nozzles requires...

... based on the common finite difference method. Numerical calculations are carried out for the case of a representative water-based magnetic fluid and for specific values of the dimensionless parameters entering into the problem, and the obtained results are presented graphically for these values...

..., gravity, phase change, and viscosity. The level set method is used to capture the movement of the liquid-vapor interface. The governing equations are solved using finite difference method. Spray cooling is studied using this model, where a vapor bubble is growing in a thin liquid film on a hot surface...

... fuel rods. The finite difference method used to solve the problem utilizes an implicit formulation of the governing equation, and a numerical technique for handling the nonlinear terms. Validation of the numerical solution is obtained by comparing the results at a specified time against those generated...