... Bousfied , D. W. , and Stockel , I. H. , 1990 , “ The Breakup of Viscous Jets With Large Velocity Modulations ,” J. Fluid Mech. , 218 , pp. 601 – 617 . 10.1017/S0022112090001136 13 02 2011 12 08 2011 13 10 2011 13 10 2011 capillarity drops finite difference...

... state is plotted in Fig. 3 . Solid plug amplitude versus Bingham number Equation 15 , with appropriate initial and boundary conditions, has been solved numerically using an implicit finite differences method. The discretized equation becomes 26 v j - 1 n + 1...

.... A numerical algorithm based on the finite difference method is implemented in time and space for the solution process of the highly nonlinear governing equations. The phenomenon of shear banding is observed and explained in terms of the jump discontinuities in shear rates. We demonstrate that for a reacting...

... of the turbulence model. In the present study, the governing equations of Eq. 1 are solved using the finite difference method [( 6 )]. Since it is necessary to stably simulate the discontinuities of the large density jump at the gas-liquid interface in a cavitating flow field, the total-variation...

... 6 7 8 9 ). aeroacoustics cavitation compressible flow confined flow convection finite difference methods flow simulation Mach number Navier-Stokes equations nozzles shear turbulence vortices 04 08 2009 10 06 2010 03 12 2010 03 12 2010 2010...

... finite difference methods flow simulation Knudsen flow lattice Boltzmann methods Navier-Stokes equations slip flow Flows of a rarefied gas or flows on a small geometric scale possess substantial nonequilibrium effects. Such flows follow rarefied gas dynamics where many of the continuum flow...

... and by oscillating walls, which is required for the study of flow-induced vibration and instability of various engineering systems. The time-accurate solutions of the Navier–Stokes equations for these unsteady flows are obtained with a finite-difference method using artificial compressibility on a stretched...

.... boundary layer turbulence computational fluid dynamics convection finite difference methods optimisation parameter estimation waves A well-understood fact about compact finite differencing is their intrinsic ability to improve the spatial resolution of the associated fine-scale physics...

... computational fluid dynamics external flows finite difference methods laminar flow laminar to turbulent transitions Navier-Stokes equations shear turbulence wakes 23 10 2008 16 06 2009 14 08 2009 Price , S. J. , Sumner , D. , Smith , J. G. , Leong , K...

... solutions of these flows. 23 09 2008 12 05 2009 07 07 2009 boundary layers finite difference methods lattice Boltzmann methods microchannel flow Navier-Stokes equations Microchannels/tubes are important components for micro-electro-mechanical systems (MEMS...

..., momentum, and energy equations) for the above case are identified, nondimensionalized, and transformed using nonsimilarity transformation. The transformed equations were solved using numerical, iterative, and implicit finite-difference methods. It is shown that the freestream striking angle has...

... ρ ρ 0 = ( p p 0 ) 1 / k 02 11 2007 13 04 2009 12 05 2009 confined flow differential equations finite difference methods transonic flow A transport system is a system that carries information from one point to another point within...

...T. Chinyoka The effect of viscoelasticity on the thermodynamic performance of a thermally decomposable lubricant subjected to shear and Arrhenius kinetics is investigated with direct numerical simulations. A numerical algorithm based on the finite difference method is implemented in time and space...

... dispersion (wave) finite difference methods Over the past decade, the advanced developments in compact finite differencing for high resolution of complex physics have produced an extensive array of field and boundary schemes. Commonly, this variety appears more often than the traditional explicit...

...-dimensional, steady, time averaged, and boundary layer equations. These equations are iteratively solved using finite-difference method under the conditions of different flow regimes, which can be divided into several distinctive regions where the methods for estimating the mixing length are different...

... Axisymmetric Flows Using Parabolized Schemes ,” Ph.D. thesis, University of Tehran, Tehran. Esfahanian , V. , Hejranfar , K. , and Mahmoodi Darian H. , 2005 , “ Implementation of Compact Finite-Difference Method to Parabolized Navier–Stokes Equations ,” The 13th Annual Conference...

... of a channel flow agrees well with data from the literature. In addition all simulations were successfully carried out using the finite difference method. In the case of a gradient theory of grade two considering a velocity-slip at the boundary with 13 v W − v F ≠ 0 respectively v W...

.... Nodes distributions at the inlet face of subgrid E 19 06 2006 05 12 2006 wind tunnels transonic flow Navier-Stokes equations finite difference methods supersonic flow jets subsonic flow design engineering numerical simulation injection process transonic...

... laminar flow external flows flow simulation finite difference methods flow instability flow separation wakes magnetohydrodynamics Hartmann number bluff body vortex shedding wake The flow over the bluff body is a common phenomenon in many engineering applications. For example, flows...

... of cylinder surface are obtained using different rates of transpiration. 07 04 2005 09 06 2006 stagnation flow heat transfer rotational flow transpiration flow instability boundary layers Navier-Stokes equations fractals fluid oscillations finite difference methods laminar flow...