... hitherto used. nanofluid Brownian motion thermophoresis natural convection Galerkin method internal heating Recently, there has been a great interest in nanofluids, which are suspensions of solid particles whose size is of order tens or hundreds nanometres. The interest is because...

..., 2013; published online June 17, 2013. Assoc. Editor: Darrell W. Pepper. 29 04 2012 04 02 2013 In this paper, the Galerkin method is used to obtain numerical solutions to two-dimensional steady-state reaction-diffusion problems. Uncertainties in reaction and diffusion coefficients...

... 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...

... 2011 10 03 2011 08 07 2011 08 07 2011 confined flow Couette flow finite element analysis Galerkin method heat transfer nonlinear differential equations non-Newtonian flow non-Newtonian fluids Poiseuille flow viscosity optimal homotopy asymptotic method (OHAM...

... change in heat transfer is observed due to aiding solutal buoyancy force for Ri ≤ 1 irrespective of the Reynolds number. 19 08 2009 03 05 2010 13 08 2010 13 08 2010 confined flow convection finite element analysis Galerkin method laminar flow mass transfer Poisson...

.... -W. , 2000 , Discontinuous Galerkin Methods: Theory, Computation and Applications , Springer-Verlag , Berlin . Cockburn , B. , and Shu , C. -W. , 2001 , “ Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems ,” J. Sci. Comput. 0885-7474 , 16 ( 3 ), pp...

... finite volume methods Galerkin method heat transfer matrix decomposition thermal management (packaging) Practical applications of computational fluid dynamics (CFD) for heat transfer analysis often present situations where a complex 3D object may be used in several locations within a system...

... no effect on the onset of convection in the case of fixed heat flux boundary conditions. convection flow through porous media Galerkin method magnetic fluids magnetisation magnetohydrodynamics thermomagnetic effects viscosity nanoparticle ferrofluid porous medium viscosity ratio fixed...

... 2008 25 02 2009 05 06 2009 Boltzmann equation carrier mean free path carrier relaxation time electron-phonon interactions finite element analysis Galerkin method gold laser beam effects melting metallic thin films Runge-Kutta methods specific heat The physics...

... and Lou ( 9 ) have studied convective instability in a horizontal layer of magnetic fluid by considering the relaxation time and the rotational viscosity effects. 02 01 2007 22 03 2008 06 08 2008 convection ferromagnetism flow instability Galerkin method magnetic fluids...

...-step hybrid technique, which combines perturbation methods based on the parameter ρ = Δ t ∕ ( Δ x ) 2 with the Galerkin method, provides a systematic way to develop new finite difference methods, referred to as hybrid equations. The main contributions of this paper include the (1) recovery of classical...

... Galerkin method heat transfer interpolation splines (mathematics) 31 08 2006 30 03 2007 06 03 2008 2008 American Society of Mechanical Engineers ...

... . Maji , P. K. , and Biswas , G. , 1999 , “ Analysis of Flow in the Spiral Casing Using a Streamline Upwind Petrov Galerkin Method ,” Int. J. Numer. Methods Eng. 0029-5981 10.1002/(SICI)1097-0207(19990520)45:2<147::AID-NME581>3.0.CO;2-G 45 , pp. 147 – 174 . Prakash , K...

... of the fluid layer consists of a steady part and a time-dependent oscillatory part. Only infinitesimal disturbances are considered. The combined effect of permeability, rotation, vertical magnetic field, and temperature modulation has been investigated using Galerkin’s method and Floquet theory. The value...

.... , 1882 , “ On the Equilibrium of Liquid Conducting Mass Charged With Electricity ,” Philos. Mag. 0031-8086 , 14 , pp. 184 – 186 . 03 12 2004 30 11 2005 convection drops two-phase flow electrohydrodynamics heat conduction surface tension stratified flow Galerkin method...

... flaw detection thermal diffusion Galerkin method finite element analysis Thermal imaging has become an important nondestructive evaluation method in the last decade. The development of highly sensitive infrared imaging systems has resulted in widely utilized thermal inspection systems...

.... 02 May 2002 05 February 2003 19 11 2003 Couette flow turbulence flow simulation Galerkin method finite element analysis Computational Finite Element Heat Transfer Turbulence In addition to turbulent flow, turbulent transport of heat and mass...

.... 13 October 2000 19 April 2001 heat conduction inverse problems temperature measurement differential equations sequential estimation Kalman filters Karhunen-Loeve transforms Galerkin method external flows flow instability Computational Heat Transfer Inverse Numerical...

... of magnetization. A first order Galerkin method is performed to reduce the governing linear system to the Mathieu equation with damping term. Therefore, the Floquet theory is used to determine the convective threshold for the free-free and rigid-rigid cases. With an appropriate choice of the ratio of the magnetic...

... hysteresis Galerkin method chaos turbulence laminar to turbulent transitions Weak Turbulence Hysteresis Porous Media Free Convection Chaos Lorenz Equations Heat Flux The wide variety of applications of heat transfer in porous media motivates this study. Examples of such applications...