Numerical Study of Mixed Convection in Cylinrical Czochralski Configuration for Crystal Growth of Silicon

Atia, Aissa; Bouabdallah, Said; Teggar, Mohamed; Benchatti, Ahmed

doi:10.18280/ijht.330106

Cited by 3 publications

(2 citation statements)

References 19 publications

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“…7a-g) for the present work are solved numerically using the finite volume method. The Second Order Upwind scheme is used for both the convective and diffusive terms [14][15]. The control volume integration is the key step of the discretization procedure that distinguishes it from other CFD techniques.…”

Section: Methodsmentioning

confidence: 99%

Turbulent Mixed Convection in Enclosure Containing a Circular/Square Heat Source

Bouabdallah¹,

Chati²,

Ghernaout³

et al. 2016

IJHT

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In this study, we are interested to the turbulent mixed convection in a ventilated enclosure. A heat source is placed at the middle of the enclosure that's equipped with two openings; one is located at the lower left corner and the other located in the upper right corner. The width of the opening "h" represents 1/5 of the side of the cavity. The walls of the cavity are maintained adiabatic. The temperature of the heat source Th is higher than the room temperature. The width of the heat source "D" is equal to the opening width "h" (D = h). The governing equations of turbulent mixed flow convection in the cavity are solved using finite volumes method. A model k-ε of two-equation was used for closure the equations of turbulent regimes. The Grashof number is set constant (Gr = 10 9 ) and the Reynolds number (Re) varied such that the Richardson number (Ri) takes the values : 0.01, 0.05, 0.1, 1, 2, 5, 10, 20 and 30 (Ri = Gr / Re 2 ). The effects of flow thermal, dynamic parameters, the geometry and heat source dimensions are presented and discussed.

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Section: Methodsmentioning

confidence: 99%

Turbulent Mixed Convection in Enclosure Containing a Circular/Square Heat Source

Bouabdallah¹,

Chati²,

Ghernaout³

et al. 2016

IJHT

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“…An equation can be established between them and the traditional Piola-Kirchhoff stress tensor σ [5,17,18,19]:…”

Section: Numerical Calculation Error Analysismentioning

confidence: 99%

Influencing factors of peridynamics analysis and calculation

Qian¹,

Qin²,

Shi³

2017

IJHT

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In this paper, a material structural model is constructed based on a cubic lattice, and applied with a fixed load and an impact load. To provide the basis for parameter selection in modelling, the error and efficiency of structural calculation are analyzed by changing the two parameters in the peridynamics (PD) computation model: near-field region radius δ and m value. During modelling, when δ is given a fixed value, the calculation accuracy will increase with the m value, but the calculation efficiency will change in the opposite trend, thus affecting the path and direction of crack propagation; when m is given a fixed value, the number of point units in the near-field region and the calculation accuracy will not change with δ, but will still affect the path and direction of crack propagation.

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Logic Stochastic Resonance Induced by a Fractional Bistable System under alpha-stable Noise

2016

Revista de la Facultad de Ingeniería

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The logic stochastic resonance (LSR) phenomenon induced in a double well nonlinear system that is described by an over-damped fractional Langevin equation with -stable noise is investigated in this paper. Using the probability of the correct logic output to measure the influence of -stable noise on the LSR phenomenon, we explore the functions of fractional order m, characteristic exponent , skewness parameter  in inducing LSR phenomenon. The results show that by adjusting the order of the system LSR phenomenon can be induced, in a suitable range of the noise; fractional order m, characteristic exponent  and skewness parameter  have function in inducing LSR phenomenon. These studies will be contributed to select reasonable parameters in the applications of fractional order logic stochastic resonance, and lay the foundation for a chip manufacturing application based on the principle of LSR phenomenon.

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Numerical Study of Mixed Convection in Cylinrical Czochralski Configuration for Crystal Growth of Silicon

Cited by 3 publications

References 19 publications

Turbulent Mixed Convection in Enclosure Containing a Circular/Square Heat Source

Turbulent Mixed Convection in Enclosure Containing a Circular/Square Heat Source

Influencing factors of peridynamics analysis and calculation

Logic Stochastic Resonance Induced by a Fractional Bistable System under alpha-stable Noise

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