Modeling of Dielectric Fluid Solidification With Charged Particles in Electric Fields and Reduced Gravity

Dulikravich, George S.; Ahuja, Vineet; Lee, Seungsoo

doi:10.1080/10407799408955925

Cited by 6 publications

(2 citation statements)

References 20 publications

(25 reference statements)

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“…The computing time is significantly reduced and does not represent an issue when using inexpensive distributed parallel computers that are becoming readily available, Due to the stability problems in the previous results, we applied the previous methodology to a test case with a lower Rayleigh number. Figure 10 shows the results obtained, without phase-change, for a Rayleigh number equal to 1.9x10 4 . In this case, the "hot" and "cold" temperatures were kept above the melting temperature (T h = 1521.5 K; T c = 1520.5 K).…”

Section: T H Xmentioning

confidence: 99%

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Optimization of Wall Electrodes for Electro-Hydrodynamic Control of Natural Convection Effects During Solidification

2003

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This paper presents a numerical procedure to reduce and possibly control the natural convection effects in a cavity filled with a molten material by applying an external electric field whose intensity and spatial distributions are obtained by the use of a hybrid optimizer. This conceptually new approach to manufacturing could be used in creation of layered and functionally graded materials and objects. In the case of steady electro-hydrodynamics (EHD), the flow-field of electrically charged particles in a solidifying melt is influenced by an externally applied electric field while the existence of any magnetic field is neglected. Solidification front shape, distribution of the charged particles in the accrued solid, and the amount of accrued solid phase in such processes can be influenced by an appropriate distribution and orientation of the electric field. The intensities of the electrodes along the boundaries of the cavity were described using B-splines. The inverse problem was then formulated to find the electric boundary conditions (the coefficients of the B-splines) in such a way that the gradients of temperature along the horizontal direction are minimized. For this task we used a hybrid optimization algorithm which incorporates several of the most popular optimization modules; the Davidon-Fletcher-Powell (DFP) gradient method, a genetic algorithm (GA), the Nelder-Mead (NM) simplex method, quasi-Newton algorithm of Pshenichny-Danilin (LM), differential evolution (DE), and sequential quadratic programming (SQP). The transient Navier-Stokes and Maxwell equations were discretized using the finite volume method in a generalized curvilinear non-orthogonal coordinate system. For the phase change problems, we used the enthalpy method.

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Section: T H Xmentioning

confidence: 99%

“…A steady state version of EHD solidification analysis without any optimization was studied and published already [4]. However, in the current work we developed a timeaccurate computer code that is capable of simulating EHD flows with phase change.…”

Section: Introductionmentioning

confidence: 99%