Prediction of Three-Dimensional Steady Incompressible Flows Using Body-Fitted Coordinates

1993 ◽  
Vol 115 (3) ◽  
pp. 457-462 ◽  
Author(s):  
P. Tamamidis ◽  
D. N. Assanis
Keyword(s):  
Cross Section ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Computational Time ◽  
Complex Geometries ◽  
Curved Duct ◽  
Sensitivity Studies ◽  
Simplec Algorithm ◽  
Volume Method ◽  
Strong Curvature

A finite-volume method for three-dimensional, steady, incompressible flows in complex geometries is presented. The method uses generalized Body-Fitted Coordinates to accurately take into account the shape of the boundary. A collocated scheme is employed, which uses the three covariant velocities and the pressure as main variables. Continuity is coupled with the momentum equations using the SIMPLEC algorithm. It is found that the SIMPLEC algorithm can provide savings in computational time of up to 40 percent compared to calculations with SIMPLE. Sensitivity studies are also performed to find optimum values of the underrelaxation parameters. The method is validated against experimental results for the case of the flow in a 90 deg curved duct of square cross-section and comparatively strong curvature. The application of the method to the prediction of flows in complex geometries is then illustrated.

Effect of Periodic Imposed Heat Flux on Three-Dimensional Natural Convection in a Partially Heated Cubical Enclosure

2016 ◽  
Vol 831 ◽  
pp. 83-91
Author(s):  
Lahoucine Belarche ◽  
Btissam Abourida
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Numerical Study ◽  
Control Volume ◽  
Vertical Wall ◽  
Three Dimensional ◽  
Maximum Temperature ◽  
Cubical Enclosure ◽  
Simplec Algorithm ◽  
Volume Method

The three-dimensional numerical study of natural convection in a cubical enclosure, discretely heated, was carried out in this study. Two heating square sections, similar to the integrated electronic components, are placed on the vertical wall of the enclosure. The imposed heating fluxes vary sinusoidally with time, in phase and in opposition of phase. The temperature of the opposite vertical wall is maintained at a cold uniform temperature and the other walls are adiabatic. The governing equations are solved using Control volume method by SIMPLEC algorithm. The sections dimension ε = D / H and the Rayleigh number Ra were fixed respectively at 0,35 and 106. The average heat transfer and the maximum temperature on the active portions will be examined for a given set of the governing parameters, namely the amplitude of the variable temperatures a and their period τp. The obtained results show significant changes in terms of heat transfer, by proper choice of the heating mode and the governing parameters.

FVM Simulation of Large Deformational Aluminum Extrusion Process and Die Bearing Optimization

2010 ◽  
Vol 97-101 ◽  
pp. 400-403
Author(s):  
Rui Wang
Keyword(s):  
Three Dimensional ◽  
Mathematic Model ◽  
Extrusion Process ◽  
Complex Geometries ◽  
Aluminum Extrusion ◽  
Aluminum Profile ◽  
Simulation Results ◽  
Volume Method ◽  
Aluminum Profile Extrusion ◽  
Deform 3D

The mathematic model of three-dimensional aluminum profile extrusion processes using finite volume method (FVM) was established in this paper. Basic theory and key technologies of this model were researched and built. Non-orthogonal blocked structured girds were used to fit complex geometries. Volume of Fluid (VOF) scheme was used to capture the free surface of the deforming materials. A program AE-FVM was written according to the above theories and equations. A thin walled aluminum profile extrusion process was simulated and optimized using AE-FVM. The simulation results were also compared with that simulated by Deform-3D and SuperForge in the same conditions. The feasibility of the mathematic model built in this paper was demonstrated by the simulation results comparison.

Single-Wave Peristalsis

2000 ◽  
Author(s):  
M. Tadjfar ◽  
T. Yamaguchi ◽  
R. Himeno
Keyword(s):  
Incompressible Flows ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Cylindrical Tube ◽  
Transient State ◽  
Navier Stokes ◽  
Wave Flow ◽  
Navier Stokes Equations ◽  
Single Wave ◽  
Volume Method

Abstract Single-wave peristalsis propagating on the wall of a cylindrical tube is simulated. The unsteady, three-dimensional, incompressible Navier-Stokes equations are solved numerically. The flow is computed with moving boundaries and moving grid. A second-order in time and third-order upwind finite volume method for solving time-accurate incompressible flows utilizing pseudo-compressibility technique is used. In this study, the flow of an axisymmetric “tear-drop” shaped, single, peristaltic wave is analyzed. The effect of transient state on the flow is limited. The three-dimensional effects are also limited to the transient state. The lubrication theory application to the single wave flow may not be appropriate due to its inability to adjust the pressure nonlinearly.

Three-Dimensional Finite-Volume Method for Incompressible Flows With Complex Boundaries

1992 ◽  
Vol 114 (4) ◽  
pp. 496-503 ◽  
Author(s):  
S. Majumdar ◽  
W. Rodi ◽  
J. Zhu
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Simple Algorithm ◽  
Computer Code ◽  
Laminar Flows ◽  
Vector Computers ◽  
Volume Method

A finite-volume method is presented for calculating incompressible 3-D flows with curved irregular boundaries. The method employs structured nonorthogonal grids, cell-centered variable arrangement, and Cartesian velocity components. A special interpolation procedure for evaluating the mass fluxes at the cell-faces is used to avoid the nonphysical oscillation of flow variables usually encountered with the cell-centered arrangement. The SIMPLE algorithm is used to handle the pressure-velocity coupling. A recently proposed low diffusive and bounded scheme is introduced to approximate the convection terms in the transport equations. The computer code and the relevant data structure are so organized that most of the code except the implicit linear solver used is fully vectorizable so as to exploit the potential of modern vector computers. The capabilities of the numerical procedure are demonstrated by application to a few internal and external three-dimensional laminar flows. In all cases the CPU-time on a grid with typically 28,000 grid nodes was below half a minute.

scholarly journals Numerical Simulation of Free Convection in a Three-Dimensional Enclosure Full of Nanofluid with the Existence a Magnetic Field

2020 ◽  
Vol 22 (6) ◽  
pp. 405-411
Author(s):  
Said Bouchta ◽  
M’barek Feddaoui
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Thermal Field ◽  
Volume Fraction ◽  
Three Dimensional ◽  
Nusselt Numbers ◽  
Simplec Algorithm ◽  
Nanometric Particles ◽  
Left And Right ◽  
Volume Method

A numerical analysis was performed to study the influence of a magnetic field in free convection in a cube full with nanofluid. To solve the equation, we appeal to finite volume method. The SIMPLEC algorithm is used for pressure-velocity coupling. All walls are adiabatic, except for the left and right walls that are heated differently. The effects of the Rayleigh and Hartmann numbers, as well as the volume fraction of nanometric particles were studied. Results are conveyed in the form of isotherms, streamlines, velocity curves and Nusselt numbers. It has been shown that as the percentage of nanoparticles increases and the number of Rayleigh increases, heat transfer improves. Hartman number has considerable influence on hydrodynamic and thermal field.

Numerical Analysis of Three-Dimensional Flows of Wormlike Micelles Solutions Through Abrupt Contraction Using a Modified Bautista-Manero Model

2011 ◽  
Author(s):  
Takehiro Yamamoto
Keyword(s):  
Structural Change ◽  
Cross Section ◽  
Numerical Scheme ◽  
Three Dimensional ◽  
Wormlike Micelles ◽  
Orientation Behavior ◽  
Shear Deformations ◽  
Limited Region ◽  
Abrupt Contraction ◽  
Volume Method

Startup flows of wormlike micelles solutions in a three-dimensional rectangular abrupt contraction channel are numerically simulated using a modified Bautista-Manero model as a constitutive equation. The numerical scheme applied is based on the finite volume method with the PISO algorithm, and the DEVSS method is employed to stabilize the numerical computation. Temporal changes in micelle network structures are investigated based on the analysis of the fluidity, which represents the structural change in micelle networks. The numerical results indicate that the orientation behavior of micelle networks around the entrance to the contraction remarkably changes with time. Around the entrance, micelle networks undergo strong elongation and shear deformations and hence the deformation of network is accelerated. Furthermore, the velocity distribution in a cross section takes a plug-like profile similarly to that of viscoplastic fluids because the fluidity rapidly changes near channel walls, where the shear rate is high. Three-dimensional patterns in the distribution of the fluidity appear more remarkably at high Weissenberg numbers, while in a conduit downstream of a contraction part they appears in a limited region near the walls where the fluidity rapidly changes.

The Study on the Flow Fields and Hydraulic Performance in the Pump Sump

2007 ◽  
Author(s):  
Li Cheng ◽  
Chao Liu ◽  
Jiren Zhou ◽  
Fangping Tang ◽  
Hua Yang
Keyword(s):  
Control Volume ◽  
Three Dimensional ◽  
Flow Fields ◽  
Viscous Effects ◽  
Back Wall ◽  
Pump Station ◽  
Computational Data ◽  
Simplec Algorithm ◽  
Pump Sump ◽  
Volume Method

The pump sump, which connects forebay and intake of pump station, supplies good flow condition for the intake of the pump. The flow inside pump sump is very complex and dominated by three dimensional viscous effects. In order to recognize the characteristic of pump sump, the control volume method is used to simulation the flow filed. The RNG k-ε turbulent model and SIMPLEC algorithm are applied to do analysis. Flow fields inside pump sump are analyzed in details. A lot of computational data, such as computational contour of sections, streamline, flow vectors and pressure contour, are given in the paper. On the based of the simulation results, best plane shapes and suitable dimensions of sump are presented. Relationship between flow patterns and dimensions of sump, such as back wall clearance, bellmouth height and shape of back wall etc, was discussed. The recommenced parameters are brought out. The results show that numerical flow fields agree well with experiment data measured by 3D-PIV model test.

Numerical Simulation of Secondary Flow in a Curved Square Duct

2014 ◽  
Vol 681 ◽  
pp. 33-40 ◽  
Author(s):  
Li Jian Zhang ◽  
Wen Ping Zhang ◽  
Ping Jian Ming
Keyword(s):  
Reynolds Number ◽  
Numerical Method ◽  
Secondary Flow ◽  
Flow Simulation ◽  
Square Duct ◽  
Numerical Result ◽  
Curved Duct ◽  
Flow Phenomena ◽  
Simplec Algorithm ◽  
Volume Method

The present paper focused on both turbulent flow and laminar flow at low Reynolds number in a curved duct. The finite volume method on unstructured grid and SIMPLEC algorithm were adopted here and the computation program was design with these methods. Good agreement was achieved between the numerical result and experimental data in the literature, and it shows that the method is reasonable and the program works well. The numerical method was also used to flow simulation with different attack angle and side angle, and numerical results were consistent with conclusion in the literature. Finally, the numerical method used for cases with different Reynolds number at the inlet. Secondary flow phenomena have been researched in the curved duct and some conclusions were derived.

scholarly journals Effect of Nanoparticles and Base Fluid Types on Natural Convection in a Three-Dimensional Cubic Enclosure

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Abdellatif Dayf ◽  
M’barek Feddadoui ◽  
Said Bouchta ◽  
Adil Charef ◽  
Houssine El Ihssini
Keyword(s):  
Heat Transfer ◽  
Ethylene Glycol ◽  
Base Fluid ◽  
Three Dimensional ◽  
Liquid Mixtures ◽  
Vertical Side ◽  
Volume Fractions ◽  
Simplec Algorithm ◽  
The Right ◽  
Volume Method

Convective heat transfer using nanofluids play an important role in thermal applications such as heat exchangers, automotive industries, and power generation. In this work, a numerical analysis is conducted to examine the heat transfer of nanofluid in three-dimensional differentially heated cavity. The finite volume method-based SIMPLEC algorithm is used to solve the system of the mass, momentum, and energy transfer governing equations. The left and the right vertical side walls of the cube are maintained at constant temperatures T C and T H , respectively. The remaining walls of the cube are insulated. Effective thermal conductivity and viscosity of the nanofluid are determined using Brinkman and Maxwell models, respectively. Studies are carried out for three types of nanoparticles and volume fractions of nanoparticles ( 0 – 5 % ). The effects of two binary liquid mixtures as a base fluid (propylene glycol-water and ethylene glycol-water) are also examined. Results show an enhancement of 13 % for Al2O3-EG in comparison to pure ethylene glycol in the case of Ra = 10 3 . In addition, heat transfer enhancement was increased with the rise of nanoparticle volume fractions.

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