G. C. Rana¹, R. C. Thakur²

FDMP-Fluid Dynamics & Materials Processing, Vol.9, No.3, pp. 251-265, 2013, DOI:10.3970/fdmp.2013.009.251

Abstract In this paper, the effect of suspended particles on thermal convection in a compressible viscoelastic fluid hosted in a porous medium is considered. For the porous medium, the Brinkman model is employed with the Rivlin-Ericksen approach used in parallel to describe the rheological behaviour of the viscoelastic fluid. By applying a normal mode analysis method, a dispersion relation is derived and solved analytically. It is observed that the medium permeability, suspended particles, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, it is found that the Darcy-Brinkman number has a stabilizing effect whereas the suspended particles and medium permeability… More >

Paras Ram¹, Anupam Bhandari²

FDMP-Fluid Dynamics & Materials Processing, Vol.8, No.4, pp. 437-452, 2012, DOI:10.3970/fdmp.2012.008.437

Abstract The present problem is formulated by considering the dynamics of a ferromagnetic fluid of variable viscosity permeating a porous medium in a rotating system in the presence of a stationary boundary. The fluid at large distance from such a boundary (disk) is assumed to rotate at a given uniform angular velocity. The viscosity of the fluid is assumed to depend on the intensity of the applied magnetic field. The governing nonlinear partial differential equations are transformed into a set of coupled nonlinear ordinary differential equations resorting to a similarity transformation. The resulting system of equations is solved numerically by applying… More >

Mark Sussman¹, Mitsuhiro Ohta²

FDMP-Fluid Dynamics & Materials Processing, Vol.3, No.1, pp. 21-36, 2007, DOI:10.3970/fdmp.2007.003.021

Abstract In this paper, we describe new techniques for numerically approximating two-phase flows. Specifically, we present new techniques for treating the viscosity and surface tension terms that appear in the Navier-Stokes equations for incompressible two-phase flow. Our resulting numerical method has the property that results computed using our two-phase algorithm approach the corresponding "one-phase'' algorithm in the limit of zero gas density/viscosity; i.e. the two-phase results approach the one-phase free-boundary results in the limit that the gas is assumed to become a uniform pressure void. By grid convergence checks and comparison with previous experimental data, we shall demonstrate the advantages of… More >

R. Issa¹, D. Violeau¹

CMC-Computers, Materials & Continua, Vol.8, No.3, pp. 151-164, 2008, DOI:10.3970/cmc.2008.008.151

Abstract Breaking waves can run up at the shoreline, inundating coastal regions and causing large property damage and loss of life. In order to proceed to the design of sea defence structures and estimate the possible damage resulting from sea submersion due to a tsunami for instance, it is thus crucial to understand these phenomena. However, due to the mathematical difficulties caused by the complexities of the fluid motion associated with breaking wave, a fully theoretical approach is not possible. Thus most of the investigations regarding breaking waves are experimental and numerical. Some methods were recently developed to perform such simulations,… More >