共查询到20条相似文献,搜索用时 15 毫秒
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In the present study, mathematical modeling was performed to simulate natural convection of a nanofluid in a square enclosure using the thermal lattice Boltzmann flux solver (TLBFS). Firstly, natural convection in a square enclosure, filled with pure fluid (air and water), was investigated to validate the accuracy and performance of the method. Then, influences of the Rayleigh number, of nanoparticle volume fraction on streamlines, isotherms and average Nusselt number were studied. The numerical results illustrated that heat transfer was enhanced with the augmentation of Rayleigh number and nanoparticle volume fraction. There was a linear relationship between the average Nusselt number and solid volume fraction. and there was an exponential relationship between the average Nusselt number and Ra. In view of the Cartesian grid used by the immersed boundary method and lattice model, the immersed boundary method was chosen to treat the no-slip boundary condition of the flow field, and the Dirichlet boundary condition of the temperature field, to facilitate natural convection around a bluff body in a square enclosure. The presented numerical algorithm and code implementation were validated by means of numerical examples of natural convection between a concentric circular cylinder and a square enclosure at different aspect ratios. Numerical simulations were conducted for natural convection around a cylinder and square in an enclosure. The results illustrated that nanoparticles enhance heat transfer in higher Rayleigh number, and the heat transfer of the inner cylinder is stronger than that of the square at the same perimeter. 相似文献
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M. A. Omara 《实验传热》2013,26(6):796-810
Natural convection heat transfer characteristics enclosures from a tilted rectangular enclosure heated at the corrugated bottom wall and vented by uniform slots opening at the top wall are experimentally investigated. The experiments were carried out to study the effects of the angle of opening of the corrugated surface, opening ratio, enclosure's tilt angle, and Rayleigh number on the passive cooling of the enclosure. The experiments were carried out at Rayleigh numbers ranging from 2 × 108 to 1.52 × 109 for enclosure tilt angles ranging from 0° to 90° and angle of opening of corrugated surface ranging from 0° to 25°. The top venting arrangement was studied at different opening ratios of 1, 0.75, 0.5, and 0.25. The results gave an optimum angle of opening of the corrugated surface at which Nusselt number is maximum. 相似文献
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封闭圆内开缝圆自然对流的非线性特性研究 总被引:2,自引:0,他引:2
本文通过数值计算对封闭圆内开缝圆自然对流的非线性特性进行了研究。数值计算以整个流场为计算区域,采用非稳态数学模型和具有QUICK差分格式的SIMPLE算法。计算结果表明,在不同参数下流动和换热存在稳态定常解、周期性振荡解、拟周期性振荡解和非周期性振荡解。稳态定常解的相图是一个点;周期性振荡解的相图是一个极限环,对应功率谱含一个基频及其谐波;拟周期性振荡解的相图为环面,对应功率谱含两个不相关的频率及它们的线性组合频率;非周期性振荡解的功率谱为无规则的宽带连续谱。 相似文献
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Kopp M. I. Tour A. V. Yanovsky V. V. 《Journal of Experimental and Theoretical Physics》2018,127(6):1173-1196
Journal of Experimental and Theoretical Physics - We study the stability of a convective flow in a nonuniformly rotating plasma layer in an axially uniform magnetic field. The stationary and... 相似文献
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采用格子Boltzmann方法,考虑Soret和Dufour效应,对内置高浓度发热圆的方腔内部双扩散自然对流现象进行数值模拟.高浓度发热圆位于方腔中心,四周壁面均为低温低浓度.在该模型中,用三个独立的LBGK方程分别模拟速度场、温度场和浓度场,并通过Boussinesq近似将它们耦合起来.分析Soret数和Dufour数对方腔内部双扩散自然对流的影响,得到流线图、等温线图、等浓度线图、发热圆表面平均Nusselt数和平均Sherwood数.结果表明:Soret和Dufour效应对方腔内双扩散自然对流影响明显,不能忽略. 相似文献
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Thermo-Solutal Natural Convection in an Anisotropic Porous Enclosure Due to Non-Uniform Temperature and Concentration at Bottom Wall 下载免费PDF全文
Ashok Kumar Pravez Alam & Prachi Fartyal 《advances in applied mathematics and mechanics.》2015,7(5):644-662
This article summaries a numerical study of thermo-solutal natural convection
in a square cavity filled with anisotropic porous medium. The side walls of the
cavity are maintained at constant temperatures and concentrations, whereas bottom
wall is a function of non-uniform (sinusoidal) temperature and concentration. The
non-Darcy Brinkmann model is considered. The governing equations are solved numerically
by spectral element method using the vorticity-stream-function approach.
The controlling parameters for present study are Darcy number $(Da)$, heat source intensity
i.e., thermal Rayleigh number $(Ra)$, permeability ratio $(K^∗)$, orientation angle $(ϕ)$. The main attention is given to understand the impact of anisotropy parameters
on average rates of heat transfer (bottom, $Nu_b$, side $Nu_s$) and mass transfer (bottom, $Sh_b$, side, $Sh_s$) as well as on streamlines, isotherms and iso-concentration. Numerical
results show that, for irrespective value of $K^∗$, the heat and mass transfer rates are negligible
for $10^{-7}≤Da≤10^{−5}, Ra=2×10^5$ and $ϕ=45^◦$. However, a significant impact
appears on Nusselt and Sherwood numbers when Da lies between $10^{−5}$ to $10^{−4}$. The
maximum bottom heat and mass transfer rates ($Nu_b, Su_b$) is attained at $ϕ=45^◦$, when $K^∗= $0.5 and 2.0. Furthermore, both heat and mass transfer rates increase on increasing
Rayleigh number ($Ra$) for all the values of $K^∗$. Overall, It is concluded from the above
study that due to anisotropic permeability the flow dynamics becomes complex. 相似文献
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Free convection of Fe_3O_4-Ethylene glycol nanofluid in existence of Coulomb forces is studied. Effect of thermal radiation is taken into account. Properties of nanofluid are varied with supplied voltage and shape of nanoparticles. The bottom wall is considered as positive electrode. Control Volume based Finite Element Method is used to obtain the results, which are the roles of Darcy number(Da), radiation parameter(Rd), Rayleigh number(Ra), nanofluid volume fraction(φ), and supplied voltage(?φ). Results indicate that Nusselt number is an enhancing function of supplied voltage and Darcy number. Maximum values for temperature gradient are occurred for platelet shape nanoparticles. 相似文献
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Chaotic thermal convection in a rapidly rotating cylindrical annulus is investigated numerically and the relaxation oscillation state is obtained under the no-slip boundary condition. The dominant frequency of the oscillation is inherited directly from a vacillating mode, whose nonlinear interaction with another high-frequency vacillating mode leads to the chaotic state at high Rayleigh numbers through an RTN-type route. Furthermore, the effects of Coriolis parameter and Rayleigh number on the quasi-periodic burst of kinetic energy are discussed as well. 相似文献
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JETP Letters - Time-periodic imbalances in the kinetic and magnetic energies at the conservation of the total energy have been found for three-dimensional homogeneous magnetohydrodynamic turbulence... 相似文献
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We derive a system of equations which models the motion of linear viscous fluids that undergo isochoric motions in isothermal
processes but not necessarily isochoric ones in non-isothermal processes. The main point is that in contrast to the usual
Oberbeck–Boussinesq approximation we do not neglect dissipative heating. We study Rayleigh–Bénard convection for our system
and investigate existence, uniqueness and regularity of solutions and conditions for the stability of the motionless state.
Received: 26 April 1999 / Accepted: 29 March 2000 相似文献
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采用格子Boltzmann方法,对多孔介质方腔内的混合对流现象进行研究.方腔内部中心有一发热圆,径宽比D/L=0.4,冷流体从方腔左下角入口流进,从方腔左上角出口流出,四周壁面绝热.在普朗特数Pr=0.71和格拉晓夫数Gr=1.4×104时,分析理查德森数Ri和达西数Da对发热圆表面平均努赛尔数Nu的影响.结果表明:Ri数位于10-3~10范围内,Nu随Ri的增大而减小.Da越大,Ri对Nu的影响越显著;Da数位于10-5~10-2范围内,强制对流占主导的情况下(Ri≤0.1),Nu随着多孔介质的Da的增大而增大.自然对流占主导的情况下(Ri=10),Nu对Da的变化不敏感. 相似文献
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Lattice Bhatnagar-Gross-Krook Simulations of Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature and Concentration Gradients 下载免费PDF全文
The temperature-concentration lattice Bhatnagar-Gross-Krook (TCLBGK) model with a robust boundary scheme is developed for two-dimensional hydromagnetic double-diffusive convective flow of a binary gas mixture in a rectangular enclosure, in which the upper and lower walls are insulated, while the left and right walls are constant temperature and constant concentration, and a uniform magnetic field is applied in the x-direction. In the model the velocity, temperature and concentration fields are solved by three independent LBGK equations, which are combined into a coupled equation for the whole system. In our simulations, we take the Prandtl number Pr = 1.0, the Lewis number Le = 2.0, the thermal Rayleigh number RaT = 10^5, and the aspect ratio A = 2 for the enclosure. The numerical results are found to be in good agreement with those of previous studies. 相似文献
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使用热格子Boltzmann方法针对圆内开缝圆自然对流的流动与换热进行数值模拟,通过相空间、功率谱等进行非线性动力学特性分析,研究其流动与换热的稳定性.结果表明:随着瑞利数Ra的增加,流场的相图从开始稳定的平衡点经历Hopf分岔后转变为极限环,表明流场进入一个倍周期性振荡状态;随着瑞利数进一步增加,稳定的极限环分岔为二维环面,系统相空间结构复杂化;当瑞利数Ra大于某一临界值时,二维环面分岔突变进入混沌状态,系统在相空间中出现非常复杂的轨线结构.总体上,通过系统不同瑞利数所对应的非线性动力学特性的表现形式,表明系统经过Ruelle-Takens道路到达混沌,展现出自然对流从稳定的流动和换热发展到非线性运动特征的混沌历程. 相似文献
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Valentin Roussellet Xiaodong Niu Hiroshi Yamaguchi & Fré dé ric Magoulé s 《advances in applied mathematics and mechanics.》2011,3(1):121-130
In this article, natural convection of a temperature-sensitive magnetic fluid
in a porous media is studied numerically by using lattice Boltzmann method. Results
show that the heat transfer decreases when the ball numbers increase. When the
magnetic field is increased, the heat transfer is enhanced; however, the average
wall Nusselt number increases at small ball numbers but decreases at large ball
numbers due to the induced flow being more likely confined near the bottom walls
with a high number of obstacles. 相似文献
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Abstract The laminar natural convection in an air-filled square cavity with a partition on the heated vertical wall was experimentally investigated. Temperature measurements and flow visualizations were performed for cases with heated and cooled vertical walls (corresponding to a global Grashof number Gr H of approximately 1.4 × 108) and non dimensional top wall temperatures θ T of 0.57 (insulated) to 2.3. Experiments were performed with an aluminum partition with non dimensional height H P /H of 0.0625 and 0.125 attached to the heated vertical wall at y/H = 0.65 and 0.95. The blockage effect and/or the thermal effect of the partition resulted in changes to the temperature and flow fields but were mainly limited to the vicinity of the partition. For the cases with the heated top wall, the change in the height of the partition at y/H = 0.95 resulted in changes to the ambient temperature outside the boundary layer due to the reduction of the size of the recirculating flow in the corner region. The changes in the partition height and the top wall temperature affected the blockage effect of the partition, resulting in the local Nusselt number near the corner region to be affected. The local Nusselt number over most of the heated vertical wall of the partitioned cavity (y/H < 0.7) was correlated to the local Rayleigh number in the form Nu = C · Ra n . 相似文献