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Keywords: finite difference methods
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Journal Articles
Article Type: Technical Briefs
J. Fluids Eng. November 2011, 133(11): 114501.
Published Online: October 13, 2011
... 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 capillarity drops finite difference methods jets two-phase flow viscosity jet breakup sprays...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. August 2011, 133(8): 081203.
Published Online: August 23, 2011
.... , 2010 , “ Unsteady Simple Shear Flow in a Viscoplastic Fluid: Comparison Between Analytical and Numerical Solutions ,” Rheol. Acta , 49 , pp. 15 – 22 . 10.1007/s00397-009-0384-6 finite difference methods non-Newtonian flow non-Newtonian fluids Poiseuille flow pulsatile flow rheology...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. July 2011, 133(7): 071205.
Published Online: July 22, 2011
.... 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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. July 2011, 133(7): 071102.
Published Online: July 5, 2011
..., with the exception of incipient cavitation. 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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. December 2010, 132(12): 121301.
Published Online: December 3, 2010
... difference methods flow simulation Mach number Navier-Stokes equations nozzles shear turbulence vortices K liquid constant of Tait equation R gas constant T temperature Y vapor mass fraction c speed of sound p static...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. October 2010, 132(10): 101401.
Published Online: October 6, 2010
... finite difference methods flow simulation Knudsen flow lattice Boltzmann methods Navier-Stokes equations slip flow The velocity particles of these models have isotropic tensors greater than or equal to the seventh rank; namely, the odd rank tensors are zero and the even rank tensors...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. April 2010, 132(4): 041105.
Published Online: April 16, 2010
... 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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. December 2009, 131(12): 121402.
Published Online: November 30, 2009
... 2009 20 10 2009 30 11 2009 30 11 2009 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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. September 2009, 131(9): 091201.
Published Online: August 14, 2009
... Fadlun , E. A. , Verzicco , R. , Orlandi , P. , and Mohd.-Yusof , J. , 2000 , “ Combined Immersed Boundary Finite Difference Methods for Three Dimensional Complex Flow Simulations ,” J. Comput. Phys. 0021-9991 , 161 , pp. 35 – 60 . 10.1006/jcph.2000.6484 Muldoon , F...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. August 2009, 131(8): 081401.
Published Online: July 7, 2009
... 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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. July 2009, 131(7): 071304.
Published Online: June 23, 2009
..., 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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. June 2009, 131(6): 061201.
Published Online: May 12, 2009
... transonic flow for the quasilinear form of the Euler equations is presented. A closed-loop wind tunnel is used for demonstration of the accuracy of this modeling method. confined flow differential equations finite difference methods transonic flow We recall that the entropy of a perfect gas...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. December 2008, 130(12): 121201.
Published Online: October 23, 2008
...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...
Journal Articles
Article Type: Technical Briefs
J. Fluids Eng. July 2008, 130(7): 074502.
Published Online: June 25, 2008
...) finite difference methods We emphasize herein that the spatial resolution and accuracy of differencing schemes are distinctly different characteristics in a sense that two stencils can own equivalent accuracy (as given by their truncation error), but actually resolve the salient physics quite...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. April 2008, 130(4): 041204.
Published Online: April 16, 2008
...-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...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. October 2007, 129(10): 1328–1338.
Published Online: May 15, 2007
... is consistent with the solution of the basic flow and it does not require the higher derivatives of basic-flow profiles, which in general are less accurate. Details of the above formulation can be found in Ref. 7 . aerodynamics external flows finite difference methods flow instability hypersonic...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. May 2007, 129(5): 643–651.
Published Online: December 22, 2006
... of a channel flow agrees well with data from the literature. In addition all simulations were successfully carried out using the finite difference method. 25 08 2005 22 12 2006 boundary layer turbulence gradient methods differential equations hydrodynamics channel flow flow instability...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. June 2007, 129(6): 682–694.
Published Online: December 5, 2006
.... Many interesting physical aspects are discussed, and among them, the formation of three-dimensional shocks’ and expansions’ “domes” wind tunnels transonic flow Navier-Stokes equations finite difference methods supersonic flow jets subsonic flow design engineering The flow...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. May 2007, 129(5): 517–523.
Published Online: October 24, 2006
... laminar flow external flows flow simulation finite difference methods flow instability flow separation wakes The flow configuration considered in this paper is a two-dimensional incompressible viscous flow of electrically conducting fluid with conductivity σ and density ρ...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. January 2007, 129(1): 106–115.
Published Online: June 9, 2006
... , Numerical Recipes, The Art of Scientific Computing , Cambridge University Press , Cambridge. stagnation flow heat transfer rotational flow transpiration flow instability boundary layers Navier-Stokes equations fractals fluid oscillations finite difference methods laminar flow viscosity...