Enhancements of the Simple Method for Predicting Incompressible Fluid Flows

Doormaal, J. P. Van; Raithby, G. D.

doi:10.1080/01495728408961817

Cited by 2,446 publications

(575 citation statements)

References 8 publications

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“…The advection of dependent variables was formulated with an upwind scheme. A semi-implicit method for pressure-linked equations consistent ͑SIMPLEC͒ method 21 was used to solve the coupled pressure-velocity fields on a staggered grid system. The solving variables were all underrelaxed to avoid unpredicted divergence.…”

Section: G Solutionsmentioning

confidence: 99%

Numerical simulation of heat transfer and fluid flow in coaxial laser cladding process for direct metal deposition

Mazumder

2006

Journal of Applied Physics

289

105

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Articles you may be interested inThe coaxial laser cladding process is the heart of direct metal deposition ͑DMD͒. Rapid materials processing, such as DMD, is steadily becoming a tool for synthesis of materials, as well as rapid manufacturing. Mathematical models to develop the fundamental understanding of the physical phenomena associated with the coaxial laser cladding process are essential to further develop the science base. A three-dimensional transient model was developed for a coaxial powder injection laser cladding process. Physical phenomena including heat transfer, melting and solidification phase changes, mass addition, and fluid flow in the melt pool, were modeled in a self-consistent manner. Interactions between the laser beam and the coaxial powder flow, including the attenuation of beam intensity and temperature rise of powder particles before reaching the melt pool were modeled with a simple heat balance equation. The level-set method was implemented to track the free surface movement of the melt pool, in a continuous laser cladding process. The governing equations were discretized using the finite volume approach. Temperature and fluid velocity were solved for in a coupled manner. Simulation results such as the melt pool width and length, and the height of solidified cladding track were compared with experimental results and found to be reasonably matched.

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Section: G Solutionsmentioning

confidence: 99%

Numerical simulation of heat transfer and fluid flow in coaxial laser cladding process for direct metal deposition

Mazumder

2006

Journal of Applied Physics

289

105

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“…In the beginning of crystal growth, the furnace wall is heated up to a fixed-linear temperature distribution for a 17) is used to solve the flow field. The modified effective specific heat method is utilized to handle the release of latent heat.…”

Section: Resultsmentioning

confidence: 99%

Modified Effective Specific Heat Method of Solidification Problems

Liu

Long

2006

Mater. Trans.

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In the heat-transfer analysis of a solidification process, the effective specific heat method is conceptually simple to apply while dealing with the latent heat problem. The implementation of computer program is very easy for this method. However, in a time step, if a nodal temperature enters, leaves or jumps over the artificial mushy zone of a pure substance, it cannot calculate the released or absorbed latent heat correctly. If the latent heat is large or the temperature variation is very large, the discontinuity of the effective specific heat will make the iterative convergence difficult to reach. In this work, a modified method is proposed to solve these problems. The method modifies the relation between the temperature and effective specific heat for a solidification process by considering the effect that the temperature at either of two successive time steps is in the mushy zone. The Stefan and Neumann problems with exact solutions were used to test the modified method. The computing results will be compared with those of the effective specific heat method and the enthalpy method. Finally, the feasibility of the modified method is further testified by using a crystal growth problem of GaAs in a Bridgman furnace.

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“…This method allows the numerical treatment of the pure heat conduction in the solid parts of the panel by introducing an artificial viscosity (lo"), which ensures that a zero velocity prevails throughout this region. The convergence of the numerical procedure has been improved according to suggestions made by Van Doormal and Raithby (1984). Numerical instabilities could be avoided by adjusting the underrelaxation factor.…”

Section: Computational Proceduresmentioning

confidence: 99%

Numerical study of a ventilated facade panel

Mootz

Bézian

1996

Solar Energy

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Abstract-An energy-saving facade panel for non-residential buildings has been numerically investigated. Structured like a composite TrombeeMichel wall, the panel consists of a glazing, an absorber plate and insulation and contains a dead air space between glazing and absorber, as well as a convection channel between absorber and insulation. The influence of convection channel spacing on both recovery of solar energy during sunshine periods and on heat losses during night hours has been assessed. Two different options have been considered. First, the total panel thickness was maintained, which involves an increase of channel spacing having to be compensated by a corresponding decrease of the insulation thickness. Then, this constraint was removed so that an increase in channel spacing was allowed to entail an equivalent increase of the total panel thickness. The results indicate that large spacing favors energy recovery during sunshine periods for both options and reduces, although only slightly. heat losses during night hours for the second option. In the case of the first option, however, these losses tend to grow when channel spacing increases.

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Enhancements of the Simple Method for Predicting Incompressible Fluid Flows

Cited by 2,446 publications

References 8 publications

Numerical simulation of heat transfer and fluid flow in coaxial laser cladding process for direct metal deposition

Numerical simulation of heat transfer and fluid flow in coaxial laser cladding process for direct metal deposition

Modified Effective Specific Heat Method of Solidification Problems

Numerical study of a ventilated facade panel

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