A computational framework for fluid–rigid body interaction: Finite element formulation and applications

Dettmer, Wulf G.; Perić, D.

doi:10.1016/j.cma.2005.05.033

Cited by 116 publications

(147 citation statements)

References 41 publications

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“…The finite element method not only overcomes the shortcoming of the traditional variational methods, it is also endowed with the features of an effective computational technique. This method is so general that it can be applied to a wide variety of engineering problems, including heat transfer Rana et al 2012), fluid mechanics Rana et al 2013), rigid body dynamics (Dettmer 2006), solid mechanics (Hansbo and Hansbo 2004) and many other fields.…”

Section: Finite Element Solutionmentioning

confidence: 99%

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Rana

Bég²

2014

Appl Nanosci

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Steady, two-dimensional mixed convection boundary layer flow of an incompressible Al 2 O 3 -water nanofluid along an inclined permeable plate in the presence of transverse magnetic field has been examined numerically. The governing equations (Boussinesq approximation) with associated boundary condition are solved using FEM for nanofluid containing spherical-shaped nanoparticles having volume fraction ranging from 1 to 4 %. Staticbased model for calculating the effective thermal conductivity at 300 K, proposed by Leong et al. (J Nanopart Res 8:245-254, 2006) and Murshed et al. (Int J Therm Sci 47:560-568, 2008) has been implemented. Effect of various pertinent parameters with different classical and experimental models for effective dynamic viscosity is discussed.

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Section: Finite Element Solutionmentioning

confidence: 99%

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Rana

Bég²

2014

Appl Nanosci

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“…Finite Element Method The finite element method (FEM) is a numerical and computer based technique of solving a variety of practical engineering problems that arise in different fields such as, in heat transfer, fluid mechanics (Bhargava and Rana (2011)), chemical processing (Lin and Lo (2003)), rigid body dynamics (Dettmer and Peric (2006)), solid mechanics (Hansbo and Hansbo (2004)), and many other fields. It is recognized by developers and users as one of the most powerful numerical analysis tools ever devised to analyze complex problems of engineering.…”

Section: Numerical Solution By Galerkin Finite Element Methodsmentioning

confidence: 99%

Application of Finite Element Method to MHD Mixed Convection Chemically Reacting Flow past a Vertical Porous Plate with Cross Diffusion and Biot Number Effects

Raju¹

2017

AJHMT

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A numerical solution to the problem of mixed convective MHD chemically reacting flow past a vertical porous plate in the presence of thermal radiation and cross diffusion effects was studied. Instead of the commonly used conditions of constant surface temperature or constant heat flux, a convective boundary condition is employed which makes this study unique and the results more realistic and practically useful. The momentum, energy, and concentration equations derived as coupled second-order, ordinary differential equations and are solved numerically using a highly accurate and thoroughly tested finite element method. The effects of Grashof number (defined to represent a mixed convection parameter) for heat and mass transfer, Soret number, Dufour number, Viscous dissipation parameter, Chemical reaction parameter, Permeability parameter, Thermal radiation parameter and Biot number on the velocity, temperature and concentration profiles are illustrated and interpreted in physical terms. The present results agree closely with the existing results for the special cases of the problem. This close agreement lends support to the validity of the present analysis and the accuracy of the numerical computations. The paper also contains a table in which the data for the local skin friction, local Nusselt number and local Sherwood number are provided for various combination values of the parameters that govern the momentum, energy and concentration convey in the mixed boundary layer.

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“…The finite element method (FEM) is an efficient numerical and computational method for solving a variety of engineering and real world problems, such as solid mechanics [37], stress analysis [38], heat transfer with fluids [39], aerospace [40], aircraft wing structures [41], structural engineering [42], biomaterials [43], chemical processing [44], rigid body dynamics [45], electrical analysis [46][47][48] and other areas. It is recognized by many researchers, developers and users as one of the most powerful numerical analysis tools ever devised to analyze complex problems of engineering.…”

Section: Finite Element Methods (Fem)mentioning

confidence: 99%

Unsteady MHD Heat Transfer in Couette Flow of Water at 4°C in a Rotating System with Ramped Temperature via Finite Element Method

Reddy¹,

Raju²,

Rao³

et al. 2017

International Journal of Applied Mechanics and Engineering

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An unsteady magnetohydromagnetic natural convection on the Couette flow of electrically conducting water at 4 0 C (Pr = 11.40) in a rotating system has been considered. A Finite Element Method (FEM) was employed to find the numerical solutions of the dimensionless governing coupled boundary layer partial differential equations. The primary velocity, secondary velocity and temperature of water at 4 o C as well as shear stresses and rate of heat transfer have been obtained for both ramped temperature and isothermal plates. The results are independent of the mesh (grid) size and the present numerical solutions through the Finite Element Method (FEM) are in good agreement with the existing analytical solutions by the Laplace Transform Technique (LTT). These are shown in tabular and graphical forms.

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A computational framework for fluid–rigid body interaction: Finite element formulation and applications

Cited by 116 publications

References 41 publications

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Application of Finite Element Method to MHD Mixed Convection Chemically Reacting Flow past a Vertical Porous Plate with Cross Diffusion and Biot Number Effects

Unsteady MHD Heat Transfer in Couette Flow of Water at 4°C in a Rotating System with Ramped Temperature via Finite Element Method

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