Abstract+Book+of+Theo.+Appl.+Mech.+Lett.+--+Fluid+Mechanics+Section.pdf

7/28/2019 Abstract+Book+of+Theo.+Appl.+Mech.+Lett.+--+Fluid+Mechanics+Section.pdf

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THE CHINESE SOCIETY OF THEORETICAL AND APPLIED MECHANICS

Abstract Book of Theoretical and

Applied Mechanics Letters (2012)Fluid Mechanics Section

TAML Editorial Office

3/4/2013

There are four sections in total: Solid Mechanics, Fluid Mechanics, Dynamics and Control, and Biomechanics and

Interdiscipline. Copyright 2013 Institute of Mechanics, Chinese Academy of Sciences and the Chinese Society of

Theoretical and Applied Mechanics.


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Contents

1 Letters of 2012 3

1.1 Axial Couette flow of an Oldroyd-B fluid in an annulus . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

1.2 Coupling of discrete-element method and smoothed particle hydrodynamics for liquid-solid flows . . . . . 3

1.3 Aeroheating CFD analysis of missile slots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

1.4 Rarefied planar jets into vacuum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

1.5 Mechanism of drag reduction by spanwise oscillating Lorentz force in turbulent channel flow . . . . . . . . 4

1.6 Planar collisionless jet impingement on a specular reflective plate . . . . . . . . . . . . . . . . . . . . . . . 4

1.7 Evolution of three-dimensional cavitation following water entry of an inclined cylinder . . . . . . . . . . . 4

1.8 Simulation of flow through porous anode in MFC at higher power density . . . . . . . . . . . . . . . . . . 5

1.9 Numerical simulations for gas-structure interaction in inflated deployment of folded membrane boom . . . 5

1.10 Onset of instability of a flag in uniform flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

1.11 Vortex-induced vibration of pipes conveying fluid using the method of multiple scales . . . . . . . . . . . . 6

1.12 LBM simulation of fluid flow in fractured porous media with permeable matrix . . . . . . . . . . . . . . . 6

1.13 Vortex structure simulation for supersonic mixing layers using nonlinear PSE method . . . . . . . . . . . . 6

1.14 The effects of initial perturbation to mixing-layer noise . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

1.15 A solution to the hydrodynamic lubrication of a circular point contact sliding over a flat surface with cavitation 7

1.16 Large-scale edge waves generated by a moving atmospheric pressure . . . . . . . . . . . . . . . . . . . . . 7

1.17 Implicit solution for a hermite weno reconstruction-based discontinuous galerkin method on tetrahedral grids 8

1.18 Theoretic expression of flow rate for a single fracture with linearly varying width . . . . . . . . . . . . . . 8

1.19 Observations on sand jets in viscoplastic fluids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91.20 Low-diffusion preconditioning scheme with linear cut-offparameter . . . . . . . . . . . . . . . . . . . . . 9

1.21 Magnetohydrodynamics convective flow in a vertical slot through a porous medium . . . . . . . . . . . . . 9

1.22 Numerical simulation on the NACA0018 airfoil self-noise generation . . . . . . . . . . . . . . . . . . . . 9

1.23 Theoretic expression of flow rate for a single fracture with linearly varying width . . . . . . . . . . . . . . 10

1.24 A brief review on wind turbine aerodynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

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Letters of 2012Theo. Appl. Mech. Lett., Vol. 2, 012001 (2012) DOI: 10.1063/2.1201201

1.1 Axial Couette flow of an Oldroyd-B fluid in an annulus

Muhammad Jamil1,2, Najeeb Alam Khan3

1. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan

2. Department of Mathematics, NED University of Engineering&Technology, Karachi-75270, Pakistan

3. Department of Mathematics, University of Karachi, Karachi-75270, Pakistan

This paper establishes the velocity field and the adequate shear stress corresponding to the motion of an Oldroyd-B fluid

between two infinite coaxial circular cylinders by means of finite Hankel transforms. The flow of the fluid is produced by the

inner cylinder which applies a time-dependent longitudinal shear stress to the fluid. The exact analytical solutions, presented

in series form in terms of Bessel functions, satisfy all imposed initial and boundary conditions. The general solutions can be

easily specialized to give similar solutions for Maxwell, second grade and Newtonian fluids performing the same motion.

Finally, some characteristics of the motion as well as the influence of the material parameters on the behavior of the fluid

motion are graphically illustrated.

Keywords: Oldroyd-B fluid, velocity field, time-dependent shear stress, Hankel transform

Email: [email protected]

Theo. Appl. Mech. Lett., Vol. 2, 012002 (2012) DOI: 10.1063/2.1201202

1.2 Coupling of discrete-element method and smoothed particle hydrodynamics for liquid-solid flows

Yrjo Jun Huang, Ole Jrgen Nydal

Department of Energy and Process Engineering, Norwegian University of Science and Technology (NTNU),

Trondheim, Norway

Particle based methods can be used for both the simulations of solid and fluid phases in multiphase medium, such as the

discrete-element method for solid phase and the smoothed particle hydrodynamics for uid phase. This paper presents a

computational method combining these two methods for solid-liquid medium. The two phases are coupled by using an

improved model from a reported LagrangianEulerian method. The technique is verified by simulating liquid-solid flows in

a two-dimensional lid-driven cavity.

Keywords: discrete-element method, smoothed particle hydrodynamics, liquid-solid flows, lid-driven cavity



1.3 Aeroheating CFD analysis of missile slots

Kai Yang, Xiaowei Gao

State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology,

Dalian 116024, China

This paper develops a hypersonic aerothermal simulation method for missile slot flow.The finite volume method of structure

grid solver is developed for solving Euler and NavierStokes equations. The solver includes Parks two temperature model

and the air multi-species reaction model. The second-order accuracy TVD numerical method was deduced to compute the

hypersonic aeroheating which improves the computational efficiency. Computational results are given to show the high

accuracy comparing to the existing experimental data.

Keywords: missile slot, aeroheating environment, numerical simulationEmail: [email protected]; [email protected]


1.4 Rarefied planar jets into vacuum

Chunpei Cai, Limei Wang

Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces 88003, New Mexico, USA

This paper presents a fundamental gaskinetic study on high speed rarefied jets expanding into vacuum from a cluster of

planar exits. Based on the corresponding exact expressions for one planar jet, this paper straightforwardly derives the

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combined multiple jet flowfield solutions of density and velocity components, however, for the combined temperature and

pressure solutions, extra attention shall be practiced. Several direct simulation Monte Carlo simulation results are provided

and they validate these analytical solutions of rarefied planar jet flows.

Keywords: rarefied flows, jet, molecular beams, vacuum, Monte Carlo method



1.5 Mechanism of drag reduction by spanwise oscillating Lorentz force in turbulent channel flow

Leping Huang, Baochun Fan, Dongjie Mei

Science and Technology on Transient Physics Laboratory, Nanjing University of Science and Technology,

Nanjing 210094, China

Numerical simulations and experimental research are both carried out to investigate the controlled effect of spanwise os-

cillating Lorentz force on a turbulent channel flow. The variations of the streaks and the skin friction drag are obtained

through the PIV system and the drag measurement system, respectively. The flow field in the near-wall region is shown

through direct numerical simulations utilizing spectral method. The experimental results are consistent with the numerical

simulation results qualitatively, and both the results indicate that the streaks are tilted into the spanwise direction and the

drag reduction utilizing spanwise oscillating Lorentz forces can be realized. The numerical simulation results reveal more

detail of the drag reduction mechanism which can be explained, since the spanwise vorticity generated from the interaction

between the induced Stokes layer and intrinsic turbulent ow in the near-wall region can make the longitudinal vortices tilt

and oscillate, and leads to turbulence suppression and drag reduction.

Keywords: turbulent control, channel flow, drag reduction, Lorentz force, direct numerical simulation



1.6 Planar collisionless jet impingement on a specular reflective plate

Chunpei Cai, Chun Zou

Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, New Mexico 88003, USA

This paper presents a fundamental gas-kinetic study on a high speed planar rarefied jet impinging on a flat plate of specular

reflections. Based on previous collisionless planar free jet results, it is straightforward to obtain jet impingement flowfield

solutions, and jet impingement for specular refiective plate surface properties. Several direct simulation Monte Carlo sim-

ulation results are provided and they validate these analytical solutions of rarefied planar jet flows. The results can find

applications in many disciplines, such as materials processing, molecular beams, and space engi-neering.

Keywords: rarefied flows, jet impingement, vacuum, Monte Carlo method



1.7 Evolution of three-dimensional cavitation following water entry of an inclined cylinder

Zhaoyu Wei1,2, Xiuhua Shi2

1. Research Institute for Applied Mechanics, Kyushu University, Kasuga Fukuoka 816-8580, Japan

2. School of Marine Engineering, Northwestern Polytechnical University, Xian 710072, China

The water entry of an inclined cylinder is firstly studied experimentally for low Froude number. The cylinder is 50 mm

in diameter and 200 mm in length, with a moderate length to diameter ratio. As it is submerged below the water surface,

the cavity is fully three-dimensional. Due to the rotation of the cylinder caused by the initial inclined impact, the cavity

evolution is quite complicated and a new phenomenon is revealed. The cylinder moves along a curved trajectory in water,
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Fluid Mechanics Theoretical & Applied Mechanics Letters 5

which greatly affects the evolution of the cavities. The cavity breaks up into two sub-cavities, and finally collapses because

of hydrostatic pressure.

Keywords: inclined cylinder, water entry, cavity


Theo. Appl. Mech. Lett., Vol. 2, 022003 (2012) DOI: 10.1063/2.12022031.8 Simulation of flow through porous anode in MFC at higher power density

Weiwei Su1, Weiwei Yan2, Zhongdi Su2, Yang Liu3, Yousheng Xu1

1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China

2. College of Metrology &Measurement Engineering, China Jiliang University, Hangzhou 310018, China

3. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China

Microbial fuel cell (MFC) is a novel environmental friendly energy device which has received great attention due to its

technology for producing electricity directly from organic or inorganic matter by using bacteria as catalyst. To date, many

experiments have been carried out to achieve the maximum power output with advective flow through porous anode to the

cathode in the MFC. However, the precise mechanical mechanism of flow through anode and the quanti ed relationship

between electrode spacing and MFC performance are not yet clearly understood. It has been found experimentally that the

power output can be increased apparently at certain electrode spacing configuration. Based on these available experimental

data, this paper investigates the effect of spacing between electrodes, the Darcy number of porous anode and the Reynoldsnumber on the power production performance of MFC by using lattice Boltzmann method. The numerical simulation results

present that the distance between electrodes significantly influences the flow velocity and residence time of the organic

matter attached to the anode in the MFC. Moreover, it is found that the Darcy number of porous anode and the Reynolds

number can regulate the output efficiency of MFC. These results perform better understanding of the complex phenomena

of MFC and will be helpful to optimize MFC design.

Keywords: microbial fuel cell, lattice Boltzmann method, flow in porous media



1.9 Numerical simulations for gas-structure interaction in inflated deployment of folded membrane boom

Jianzheng Wei1,2, Huifeng Tan1, Jianxin Yu1, Xingwen Du1

1. National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Instituteof Technology, Harbin 150080, China

2. Post-doctoral Research Center in Materials Science&Engineering, Harbin Institute of Technology,

Harbin 150080, China

It is very important for gas-structure interaction between compressible ideal gas and elastic structure of space folded

membrane booms during the inflatable deployment. In order to study this gas-structure interaction problem, Arbitrary

LagrangianEulerian (ALE) finite element method was employed. Gas-structure interaction equation was built based on

equilibrium integration relationship, and solved by operator split method. In addition, numerical analysis of V-shape folded

membrane booms inflated by gas was given, the variation of inner pressure as well as deployment velocities of inflatable

boom at different stage were simulated. Moreover, these results are consistent with the experiment of the same boom, which

shows that both ALE method and operator split method are feasible and reliable methods to study gas-structure interaction

problem.

Keywords: gas-structure interaction, membrane boom, ALE method, inflationEmail: [email protected]


1.10 Onset of instability of a flag in uniform flow

Fangbao Tian1,2, Xiyun Lu1, Haoxiang Luo2

1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China

2. Department of Mechanical Engineering, Vanderbilt University, 2301 Vanderbilt Place, Nashville, Tennessee 37235, USA

This paper numerically and analytically studies the onset of instability of a flag in uniform flow. The three-dimensional


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(3D) simulation is performed by using an immersed-boundary method coupled with a nonlinear finite element method. The

global stability, bistability and instability are identi ed in the 3D simulations. The Squires theorem is extended to analyze

the stability of the fluid-flag system with 3D initial perturbations. It is found that if a parallel flow around the flag admits an

unstable 3D disturbance for a certain value of the flutter speed, then a two-dimensional (2D) disturbance at a lower flutter

speed is also admitted. In addition, the growth rate of 2D disturbance is larger than that of the 3D disturbance.

Keywords: flag instability, fluidstructure interaction, immersed-boundary method, Squires theoremEmail: [email protected]


1.11 Vortex-induced vibration of pipes conveying fluid using the method of multiple scales

Huliang Dai1,2, Lin Wang1,2

1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China

2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China

The nonlinear dynamics of supported pipes conveying fluid subjected to vortex-induced vibration is evaluated using the

method of multiple scales. Frequency response portraits for different internal fluid velocities under lock-in conditions are

obtained and the stability of steady-state responses is discussed. Results show that the internal fluid velocity has a prominent

effect on the oscillation amplitude and that the steady-state responses incorporating unstable solutions in the lock-in region

are also obtained. In addition, the effects of two kinds of fluctuating lift coeffcients on the steady-state responses are

compared with each other.

Keywords: pipes conveying fluid, vortex-induced vibration, lock-in, steady-state responses, fluctuating lift



1.12 LBM simulation of fluid flow in fractured porous media with permeable matrix

Jinfang Gao, Huiling Xing

Earth Systems Science Computational Centre (ESSCC), School of Earth Sciences, The University of Queensland,

St. Lucia QLD 4072, Australia

To analyze and depict complicated fluid behaviors in fractured porous media with variably permeable matrix, an integrated

discrete computational algorithm is proposed based on lattice Boltzmann method (LBM). This paper combines with the

external force model and statistical material physics to effectively describe the feature changes while the fluid passes through

the fractures within the permeable matrix. As an application example, a two dimensional rock sample is reconstructed using

the digital image and characterized with different feature values at each LBM grid to distinguish pores, impermeable and

permeable matrix by stating its local physical property. Compared with the conventional LBM, the results demonstrate the

advantages of proposed algorithm in modeling fluid flow phenomenon in fractured porous media with variably permeable

matrix.

Keywords: fractured porous media, fluid dynamics, permeable matrix, lattice Boltzmann



1.13 Vortex structure simulation for supersonic mixing layers using nonlinear PSE method

Xin Guo, Qiang Wang

China Academy of Aerospace Aerodynamics, Beijing 100074, China

The method of nonlinear parabolized stability equations (PSE) is applied in the simulation of vortex structures in compress-

ible mixing layer. The spatially-evolving unstable waves, which dominate the vortex structure, are investigated through

spatial marching method. The instantaneous flow field is obtained by adding the harmonic waves to basic flow. The results


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show that T-S waves do not keep growing exponentially as the linear evolution, the energy transfer to high order harmonic

modes, and that finally all harmonic modes get saturated due to nonlinear interaction. The mean flow distortion induced

by the nonlinear interaction between the harmonic modes and their conjugate harmonic ones, makes great change of the

average flow and increases the thickness of mixing layer. PSE methods can well capture the two-and three-dimensional

large scale nonlinear vortex structures in mixing layers such as vortex roll-up, vortex pairing, and vortex.

Keywords: compressible mixing layer, parabolized stability equations, nonlinear stability, vortex roll-up, vortex pairing,vortex



1.14 The effects of initial perturbation to mixing-layer noise

Lin Zhou1, Zhenhua Wan1, Dejun Sun1, Mingjun Wei2

1. Department of Modern Mechanics,University of Science and Technology of China, Hefei 230022, China

2. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, USA

The far-field noise radiated from mixing layers is determined by the near-field flow dynamics which is sensitive to the initial

perturbation of instability introduced physically or numerically. This study focuses on the effects of the phase delay in

two initial perturbations, one at the fundamental wave number and the other at its subharmonic both calculated from linearinstability analysis, on the sound generation in mixing layers. When different phase delays 1 changing from zero to 2

is applied on the fundamental mode, we observe different vortex merging processes (e.g. vortex pairing or tearing). The

strong nonlinear interaction in the merging process generates most of the noise from mixing layers. There shows a pattern

in a period of 2 for the response of far-field sound to the change of1. Similar effects on the dynamics and acoustics can

be achieved by adding different phase delays 2 to the subharmonic mode instead, however, the response repeats in a period

of only for 2. The effects of the combination of different phase delays to other parameters, including the amplitude and

wave number for each perturbations, are also investigated. All the results indicate a critical role of nonlinearity in the sound

generation mechanism of mixing layers.

Keywords: nonlinear interaction, instability, mixing-layer noise



1.15 A solution to the hydrodynamic lubrication of a circular point contact sliding over a flat surface with cavitation

Hans B. Lofgrena

Functional Surfaces Research Group, School of Business and Engineering, University of Halmstad, P.O. Box 823, SE-301

18 Halmstad, Sweden

This letter presents an analytical solution to the hydrodynamic lubrication of a circular point contact sliding over a flat

surface with cavitation. The solution is found by solving the Reynolds equation with Reynolds boundary condition for

cavitation. The cavitation boundary is shown to be straight lines directed 108.4 against the sliding direction. The result is

experimentally verified in the limit of large values of viscosity, sliding velocity and radius of a spherical ball. The solution

raises questions about the coupling between cavitation and film rupture and can be used as an independent check on the

validity of numerical solutions.

Keywords: Reynolds equation, analytical solution, cavitation, point contact



1.16 Large-scale edge waves generated by a moving atmospheric pressure

Chao An1, Philip L-F. Liu1, Seung Nam Seo2


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1. School of Civil and Environmental Engineering, Cornell University, Ithaca 14853, USA

2. Coastal Engineering and Ocean Energy Research Department, Korea Ocean Research and Development Institute, Seoul

426744, South Korea

Long waves generated by a moving atmospheric pressure distribution, associated with a storm, in coastal region are in-

vestigated numerically. For simplicity the moving atmospheric pressure is assumed to be moving only in the alongshore

direction and the beach slope is assumed to be a constant in the on-offshore direction. By solving the linear shallow waterequations we obtain numerical solutions for a wide range of physical parameters, including storm size (2a), storm speed

(U), and beach slope (). Based on the numerical results, it is determined that edge wave packets are generated if the storm

speed is equal to or greater than the critical velocity, Ucr, which is defined as the phase speed of the fundamental edge wave

mode whose wavelength is scaled by the width of the storm size. The length and the location of the positively moving edge

wave packet is roughly Ut/2 y Ut, where y is in the alongshore direction and t is the time. Once the edge wave packet

is generated, the wavelength is the same as that of the fundamental edge wave mode corresponding to the storm speed and is

independent of the storm size, which can, however, affect the wave amplitude. When the storm speed is less than the critical

velocity, the primary surface signature is a depression directly correlated to the atmospheric pressure distribution.

Keywords: edge wave packet, moving atmospheric pressure, linear and nonlinear shallow water waves, numerical solutions



1.17 Implicit solution for a hermite weno reconstruction-based discontinuous galerkin method on tetrahedral grids

Yidong Xia1, Hong Luo1, Robert Nourgaliev2

1. North Carolina State University, Raleigh, NC 27695, USA

2. Idaho National Laboratory, Idaho Falls, ID 83415, USA

An implicit reconstructed discontinuous Galerkin method, IRDG(P1P2), is presented for solving the compressible Euler

equations on tetrahedral grids. A quadratic polynomial ( P2) solution is first reconstructed using a least-squares method

from the underlying linear polynomial (P1) DG solution. By taking advantage of the derivatives in the DG formulation,

the stencils used in the reconstruction involve only the von Neumann neighborhood and thus are compact and consistent

with the underlying DG method. The final P2 solution is then obtained using a Hermite WENO reconstruction, which

is necessary to ensure the stability of the IRDG(P1P2) method. A matrix-free GMRES (generalized minimum residual)algorithm is presented to solve the approximate system of linear equations arising from Newton linearization. The LU-

SGS (lower-upper symmetric GaussSeidel) preconditioning technique is used. The numerical experiments on a variety

of flow problems demonstrate that the developed IRDG(P1P2) method is able to obtain a speedup of at least two orders

of magnitude than its explicit counterpart, maintain the linear stability, and achieve the designed third order of accuracy:

one order accuracy higher than the underlying implicit DG( P1) method without significant increase in computing costs and

storage requirements.

Keywords: discontinuous Galerkin, least-squares reconstruction method, WENO, compressible flow, implicit method,

tetrahedral grids



1.18 Theoretic expression of flow rate for a single fracture with linearly varying width

Haonan Liang1, Weiqun Liu1,2

1. School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221008, China

2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technol-

ogy, Xuzhou 221008, China

By means of reasonable assumption and mathematical derivation, a theoretic expression of flow rate for a single fracture

with linearly varying width was obtained. The mathematical derivation was based on the cubic law and the new theoretic
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expression was an extention of traditional parallel plate model. This study may help to analyze seepage in fractured rock

mass.

Keywords: flow rate, cubic law, single fracture with linearly varying width Email: [email protected]


1.19 Observations on sand jets in viscoplastic fluids

Jianan Cai, David Z. Zhu, N. Rajaratnam

Deptartment of Civil and Environmental Engineering, University of Alberta, Edmonton T6G 2W2, Canada

Sand jet in non-Newtonian viscoplastic fluid is associated with a number of industrial and engineering applications, includ-

ing sand capping for the reclamation of oilsands tailings ponds and sediment deposition into soft mud. In this study, several

experiments were carried out by depositing circular sand jets vertically into viscoplastic fluids, known as Laponite gel. The

deformation regimes of sand jets in the gel were investigated. The yield-gravity parameter of the deformed sand drop in the

gel was computed.

Keywords: non-Newtonian fluid, viscoplastic fluid, granular flow, sand jet



1.20 Low-diffusion preconditioning scheme with linear cut-offparameter

Songping Wu1,2, Ning Cao3

1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics,

Beijing 100191, China

2. Key Laboratory of Fluid Mechanics (Beihang University), Ministry of Education, Beijing 100191, China

3. China Academy of Aerospace Aerodynamics, Beijing 100074, China

A low-diffusion preconditioning Roe scheme with an adjustable parameter to control the numerical dissipation is proposed.

This scheme reflects the real physical dissipation in the extremely low-speed region. The preconditioning parameter in

scheme is improved by linear cut-off and correction factor. The numerical results of low-Mach-number/low-Reynolds-

number steady solutions of viscous flows past a circular cylinder and past a NACA0012 airfoil show the efficiency of the

new scheme.

Keywords: numerical methods, steady flow, cylinders, preconditioning, airfoil



1.21 Magnetohydrodynamics convective flow in a vertical slot through a porous medium

Rajnish Kumar1, Bal G. Prasad2

1. Department of Applied Mathematics, Birla Institute of Technology, Patna Campus, Mesra Bihar, India

2. Department of Mathematics, B.N. College, Patna University, Bihar, India

An analysis is presented with magnetohydrodynamics natural convective flow of a viscous Newtonian fluid saturated porous

medium in a vertical slot. The flow in the porous media has been modeled using the Brinkman model. The fully-developed

two-dimensional flow from capped to open ends is considered for which a continuum of solutions is obtained. The influence

of pertinent parameters on the flow is delineated and appropriate conclusions are drawn. The asymptotic behaviour and the

volume flux are analyzed and incorporated graphically for the three-parameter family of solution.

Keywords: natural convection, porous medium, magnetohydrodynamics, Brinkman model, vertical slot



1.22 Numerical simulation on the NACA0018 airfoil self-noise generation

Min Jiang1, Xiaodong Li1, Baohong Bai1, Dakai Lin2
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1. Beihang University, Beijing 100191, China

2. Beijing Aeronautical Science and Technology Research Institute of COMAC, Beijing 100191, China

Airfoil self-noise is a common phenomenon for many engineering applications. Aiming to study the underlying mechanism

of airfoil self-noise at low Mach number and moderate Reynolds number flow, a numerical investigation is presented on

noise generation by flow past NACA0018 airfoil. Based on a high-order accurate numerical method, both the near-field hy-

drodynamics and the far-field acoustics are computed simultaneously by performing direct numerical simulation. The meanflow properties agree well with the experimental measurements. The characteristics of aerodynamic noise are investigated

at various angles of attack. The obtained results show that inclining the airfoil could enlarge turbulent intensity and produce

larger scale of vortices. The sound radiation is mainly towards the upper and lower directions of the airfoil surface. At

higher angle of attack, the tonal noise tends to disappear and the noise spectrum displays broad-band features.

Keywords: direct numerical simulation, computational aeroacoustics, airfoil self-noise, broad-band features



1.23 Theoretic expression of flow rate for a single fracture with linearly varying width

Haonan Liang1, Weiqun Liu1,2

1. School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221008, China

2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technol-ogy, Xuzhou 221008, China

By means of reasonable assumption and mathematical derivation, a theoretic expression of flow rate for a single fracture

with linearly varying width was obtained. The mathematical derivation was based on the cubic law and the new theoretic

expression was an extention of traditional parallel plate model. This study may help to analyze seepage in fractured rock

mass.

Keywords: flow rate, cubic law, single fracture with linearly varying width



1.24 A brief review on wind turbine aerodynamics

Tongguang WangNanjing University of Aeronautics and Astronautics, Nanjing 210016, China

This article briefly reviews wind turbine aerodynamics, which follows an explanation of the aerodynamic complexity. The

aerodynamic models including blade momentum theory, vortex wake model, dynamic stall and rotational effect, and their

applications in wind turbine aerodynamic performance prediction are discussed and documented. Recent progress in com-

putational fluid dynamics for wind turbine is addressed. Wind turbine aerodynamic experimental studies are also selectively

introduced.

Keywords: aerodynamics, wind turbines, computational fluid dynamics, rotational argumentation, dynamic stall

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