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V. Shevtsova¹, A. Mialdun¹, H. Kawamura², I. Ueno², K. Nishino³, M. Lappa⁴
FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.1, pp. 1-28, 2011, DOI:10.3970/fdmp.2011.007.001
Abstract The experimental results from nine benchmark test cases conducted by five different groups are presented. The goal of this study is to build an experimental database for validation of numerical models in liquid bridge geometry. The need arises as comparison of numerical results with a single experiment can lead to a large discrepancy due to specific experimental conditions. Perfectly conducting rigid walls and, especially, idealized boundary conditions at the free surface employed in numerical studies are not always realized in experiments. The experimental benchmark has emphasized strong sensitivity of the threshold of instability to the More >

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1066

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ARTICLE

A. Kidess¹, N. Armour¹, S. Dost^1,2
FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.1, pp. 29-56, 2011, DOI:10.3970/fdmp.2011.007.029
Abstract When a metallic liquid is subject to strong magnetic body forces, the issues of convergence and numerical stability may arise in numerical simulations. Handling of magnetic body force terms needs care. In this work we have studied two open codes and discussed the related issues. Magnetic force and mass transport terms were added to these codes. Handling the stability issues was discussed. The developed systems were validated by two benchmark cases. Then, the dissolution process of silicon into the germanium melt was selected as an application. The objective was the numerical study of the dissolution More >

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1256

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ARTICLE

Hicham Rouijaa¹, Mustapha El Alami², El Alami Semma³, Mostafa Najam²
FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.1, pp. 57-70, 2011, DOI:10.3970/fdmp.2011.007.057
Abstract This article presents a numerical study on natural convection in a bidimensional inclined "T"-shaped cavity. The governing equations are solved in the framework of a control-volume method resorting to the SIMPLEC algorithm (for the treatment of pressure-velocity coupling). Special emphasis is given to the investigation of the effect of inclination on the heat transfer and mass flow rate. Results are discussed for Prandtl number Pr=0.72, geometry with: opening width C=0.15, blocks gap D=0.5, blocks height, B=0.5 and different values of the Rayleigh number (10⁴ ≤ Ra ≤ 10⁶). More >

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1417

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Mohamed Ammar Abbassi^1,2, Kamel Halouani¹, Xavier Chesneau³, Belkacem Zeghmati³
FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.1, pp. 71-96, 2011, DOI:10.3970/fdmp.2011.007.071
Abstract Mixed convection inside a square cavity with inlet and outlet ports is numerically simulated considering thermal radiation effect. The non dimensional transfer equations, based on Boussinesq assumption and the radiative heat transfer equation are solved by the finite-volume-method and the TDMA algorithm. Results, presented for a gray fluid and a wide range of dimensionless numbers; Reynolds (Re=10-1000), Richardson (Ri=0-0.01), Boltzmann (Bo=0.1-100), radiation to conduction parameter (Rc=0.1-100), and optical thickness (τ = 0.1-10) show that the radiation significantly affects temperature distribution. Streamlines are also sensitive to radiative parameters (as optical thickness) but less than temperature. More >

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1172

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Ahmed Meskini, Mostafa Najam, Mustapha El Alami
FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.1, pp. 97-110, 2011, DOI:10.3970/fdmp.2011.007.097
Abstract A numerical mixed convection investigation was carried out to study the enhancement of heat transfer in a square cavity with identical heated rectangular blocks adjacent to its upper wall, and submitted to a vertical jet of fresh air from below. The configuration so defined is an inverted "T"-shaped cavity presenting symmetry with respect to a vertical axis passing by the middle of the openings. The governing equations have been solved using the finite difference method. The parameters of this study are: Rayleigh number 10⁴ ≤ Ra ≤ 10⁶, Reynolds number 1 ≤ Re ≤ 1000, the opening More >

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1331

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P.I. Andharia¹, G.M. Deheri²
FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.1, pp. 111-124, 2011, DOI:10.3970/fdmp.2011.007.111
Abstract An attempt has been made to study and analyze the performance of a magnetic fluid based squeeze film between rough truncated conical plates. The lubricant used here is a magnetic fluid and the external magnetic field is oblique to the lower plate. The bearing surfaces are assumed to be longitudinally rough. The roughness of the bearing surfaces is modeled by a stochastic random variable with nonzero mean, variance and skewness. Efforts have been made to average the associated Reynolds equation with respect to the random roughness parameter. The concerned non-dimensional equation is solved with appropriate… More >

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