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Non-Darcy Bioconvective Flow of the Ree-Eyring Ternary-Hybrid Nanofluid over a Stretching Sheet with Velocity and Thermal Slips: Entropy Analysis 具有速度和热滑移的拉伸片上的 Ree-Eyring 三元混合纳米流体的非达西生物对流:熵分析
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-07-01 DOI: 10.1615/jpormedia.2024052723
Hossam Nabwey, Waqar A. Khan, zeinab Abdelrahman, Ahmed M. Rashad, Miad Abu Hawsah
The present paper proposes the mathematical model for non-Newtonianfluid (Ree-Eyring model) towards a stretched sheet with the porous medium by considering the gyrotactic microorganisms and the inclined magnetic field. The composite of Al_2 O_3,Ag,and Ti O_2 in water is called ternary-hybrid nanofluid (THNF), while the composite relation among Al_2 O_3,Ag in water is known as hybrid nanofluid (HNF), and Al_2 O_3 in water is the nanofluid (NF).The Buongiorno model is used inflow modeling to investigate thermophoresis and Brownian motion. The appropriate transformations are implemented to transform governing partial differential equations into coupled nonlinear ordinary differential equations by similarity transformation. The mathematical model is converted to ODEs using suitable similarity transformation. The bvp4c function in MATLAB is used to solve boundary value problems (BVPs) for systems of ordinary differential equations (ODEs). It is part of the MATLAB's Boundary Value Problems (BVP) solver suite. The effects of the physical parameters on the dimensionless variables and quantities of physical interest are analyzed with the aid of figures. It is demonstrated that ternary hybrid nanofluids provide the highest heat transfer rate at the cost of skin friction and offer the lowest Bejan number and entropy generation rates. They also reduce mass and microorganisms transfer rates. Furthermore, magnetic field, local inertia, Eckert number, and thermal slip reduce the Bejan number by promoting more efficient heat transfer.
本文通过考虑回转微生物和倾斜磁场,提出了非牛顿流体(Ree-Eyring 模型)对多孔介质拉伸片的数学模型。水中 Al_2 O_3、Ag 和 Ti O_2 的复合称为三元混合纳米流体(THNF),水中 Al_2 O_3、Ag 的复合关系称为混合纳米流体(HNF),水中 Al_2 O_3 的复合称为纳米流体(NF)。通过相似性转换,实施适当的转换将支配偏微分方程转换为耦合非线性常微分方程。利用适当的相似性变换将数学模型转换为 ODE。MATLAB 中的 bvp4c 函数用于解决常微分方程系统的边界值问题(BVP)。它是 MATLAB 边界值问题 (BVP) 求解器套件的一部分。借助图表分析了物理参数对无量纲变量和物理量的影响。结果表明,三元混合纳米流体以皮肤摩擦为代价提供了最高的传热率,并提供了最低的贝扬数和熵产生率。它们还降低了质量和微生物的传递率。此外,磁场、局部惯性、埃克特数和热滑移通过促进更有效的热传递来降低贝扬数。
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引用次数: 0
Research on data inversion process of gas pressure-oscillation method for low permeability testing in porous media 用于多孔介质低渗透性测试的气体压力-振荡法数据反演过程研究
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-07-01 DOI: 10.1615/jpormedia.2024052329
Wei Wang, Diansen Yang, Xing Wang, Yijie Liu, Zecheng Chi
The pressure-oscillation method is a relatively new experimental approach for evaluating the seepage characteristics of porous media. It allows for simultaneous measurement of permeability and porosity, while offering several advantages, including flexibility, automation, and data re-peatability. However, there has been limited research on the data inversion process using this method. In this study, a data inversion process is proposed based on the theoretical solution proposed by Fischer (1992). The reliability and accuracy of the method are verified through synthetic signals and computation cases. The data inversion process involves two steps: processing the gas pres-sure data using fast Fourier transform and local extreme value locate to obtain the amplitude ratio and phase delay, and calcu-lating intermediate parameters that relate to gas apparent permeability and effective porosity using graphical and numerical root-finding algorithm. The calculation process is simplified by not calculating one complex intermediate parameter. The data inversion process is demonstrated using 11 computation cases, showing its intuitive nature, fast computation, deterministic results, and high accuracy. The impact of various factors on the gas pressure variations of downstream reservoir is analyzed through case analysis. This study can serve as a valuable reference for de-signing experiments using the gas pressure-oscillation method.
压力振荡法是评估多孔介质渗流特性的一种相对较新的实验方法。它可以同时测量渗透率和孔隙度,同时具有灵活性、自动化和数据可重复性等优点。然而,使用这种方法对数据反演过程的研究还很有限。本研究根据 Fischer(1992 年)提出的理论解决方案,提出了一种数据反演过程。通过合成信号和计算案例验证了该方法的可靠性和准确性。数据反演过程包括两个步骤:利用快速傅里叶变换和局部极值定位对气体压强数据进行处理,得到振幅比和相位延迟;利用图形和数值寻根算法计算与气体表观渗透率和有效孔隙度相关的中间参数。由于不计算一个复杂的中间参数,因此简化了计算过程。利用 11 个计算案例演示了数据反演过程,显示了其直观性、快速计算、结果确定性和高精度。通过案例分析,分析了各种因素对下游储层气体压力变化的影响。本研究可为使用气体压力-振荡法进行去设计实验提供有价值的参考。
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引用次数: 0
Nanoparticle shape factor analysis on radiative ternary nanofluid (MWCNT-Cu-SiO2/H2O) flow with non-Fourier thermal flux 具有非傅里叶热通量的辐射三元纳米流体(MWCNT-Cu-SiO2/H2O)流动的纳米粒子形状因子分析
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-06-01 DOI: 10.1615/jpormedia.2024051855
Madiha Takreem Kottur, Venkata Satya Narayana Panyam
The ternary hybrid nanofluid flow comprising multi-walled carbon nanotube, copper, andsilicon dioxide dispersed in a host fluid of water in a Darcy-Forchheimer medium past anelongated surface is deliberated in the current study. The novelty of the contemplated model isdeveloped by incorporating the influences of mixed convection in the momentum equation andheat source and Cattaneo-Christov thermal flux in the energy equation. Shape factor analysisof the nanoparticles is also performed to calculate the thermal efficacy. An application of theappropriate similarity variables is made to transmute the governing system of PDEs into anordinary differential system, whose numeric solution is determined by the bvp4c package inMATLAB. The outcome drawn in this study is that the ternary hybrid nanofluid MWCNT-Cu-SiO2/H2O can provide effective thermal transmission efficiency comparedto Cu-SiO2/H2O hybrid nanofluid. Additionally, the lamina-shaped nanoparticles seem toexhibit an improved thermal profile and greater heat transmission rate than platelets shapedones. Moreover, a comparison table is included to authenticate the present model and a greatcorrelation is attained.
本研究探讨了在达西-福克海默介质中,由分散在水主流体中的多壁碳纳米管、铜和二氧化硅组成的三元混合纳米流体流过伸长表面的问题。在动量方程中加入了混合对流的影响,在能量方程中加入了热源和卡塔尼奥-克里斯托夫热通量的影响,从而建立了新颖的模型。还对纳米颗粒进行了形状因素分析,以计算热效率。应用适当的相似变量将 PDE 治理系统转换为常微分系统,其数值解由 MATLAB 中的 bvp4c 软件包确定。研究结果表明,与 Cu-SiO2/H2O 混合纳米流体相比,MWCNT-Cu-SiO2/H2O 三元混合纳米流体可提供有效的热传导效率。此外,片状纳米粒子似乎比板状纳米粒子具有更好的热曲线和更高的热传导率。此外,为验证本模型,还提供了一个对比表,并得出了很好的相关性。
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引用次数: 0
Investigating Heat Transfer Enhancement Using Metal Foam in Double Tube Heat Exchangers-Experimental Approach 研究在双管热交换器中使用金属泡沫增强传热--实验法
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-06-01 DOI: 10.1615/jpormedia.2024052929
Aniket Dhavale, Mandar lele
This study addresses the imperative requirement for efficient utilization of solar energy by examining the incorporation of metal foam heat exchangers into solar flat plate collectors, with a focus on enhancing their thermal performance. The primary objective of this study is to experimentally evaluate single-phase double-tube heat exchangers with and without the incorporation of metal foam in the annular space. By conducting experiments with hot and cold water at various flow rates, the research aims to assess the impact of metal foam on key parameters such as heat transfer coefficient, Nusselt number, Reynolds number, effectiveness, and pressure drop. Furthermore, the study compares the experimental results with established correlations from existing literature. The experiments are performed with hot and cold water at different flow rates of 25 liters per hour and (25-50) liters per hour at 650C and room temperature, respectively. Nickel metal foam with 10 Pores Per Inch and 0.9 porosity is fitted in the annular space. The results of the study indicate that the incorporation of metal foam leads to a significant improvement in heat transfer performance, up to 2.2 times compared to a traditional heat exchanger. However, this enhancement in heat transfer comes at the cost of increased pressure drop across the metal foam heat exchanger. The investigation is significant as it offers insights into the potential of metal foam to improve heat exchanger performance. Therefore, the research highlights the existence of a trade-off between heat transfer efficiency and pressure drop when designing double-tube heat exchangers with metal foam. This work provides valuable insights into
本研究通过研究在太阳能平板集热器中加入金属泡沫热交换器,重点提高其热能性能,从而满足高效利用太阳能的迫切要求。本研究的主要目的是对环形空间中加入和未加入金属泡沫的单相双管热交换器进行实验评估。通过对不同流速的热水和冷水进行实验,研究旨在评估金属泡沫对传热系数、努塞尔特数、雷诺数、效率和压降等关键参数的影响。此外,研究还将实验结果与现有文献中的既定相关性进行了比较。实验分别在 650 摄氏度和室温下以 25 升/小时和(25-50)升/小时的不同流速对热水和冷水进行。在环形空间中安装了每英寸 10 个孔且孔隙率为 0.9 的镍金属泡沫。研究结果表明,与传统的热交换器相比,加入金属泡沫可显著提高传热性能,最高可达 2.2 倍。然而,热传递性能的提高是以金属泡沫热交换器压降的增加为代价的。这项研究意义重大,因为它深入揭示了金属泡沫改善热交换器性能的潜力。因此,这项研究强调,在设计使用金属泡沫的双管热交换器时,需要在传热效率和压降之间进行权衡。这项工作为以下方面提供了宝贵的见解
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引用次数: 0
Legendre wavelet collocation method to simulate the effect of linear and exponential heat source/sink on AA7072-AA7075/EG-H2O flow over a stretching sheet with Cattaneo-Christov model 用 Cattaneo-Christov 模型模拟线性和指数热源/热沉对拉伸片上 AA7072-AA7075/EG-H2O 流动的影响的 Legendre 小波配位法
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-06-01 DOI: 10.1615/jpormedia.2024052183
TANYA GUPTA, Manoj Kumar
This research presents a semi-analytical method for investigating the heat transfer of a hybrid nanofluid over an inclined porous stretched sheet under the influence of a magnetic field, non-linear radiation, linear and exponential heat source/sink with convective heating, and slip condition. For assessing the thermal propagation time, the Cattaneo-Christov model is used. The Legendre wavelet collocation technique (LWCT) was used, which employs an operational matrix of integration (OMI) and is capable of producing more accurate findings than other approaches. The hybrid nanofluid is made up of nanoparticles AA7072 and AA7075, as well as ethylene glycol and water (50%-50%) as the base fluid. The heat transfer enhancement is determined to be 19.46% when the volume fraction is increased from 2% to 10%. It is also clear that the thermal relaxation parameter reduces the thermal profile, whereas linear and exponential heat sources improve it. It is also noted that the velocity profile for the horizontal sheet decreases with volume fraction but increases for the vertical sheet.
本研究提出了一种半分析方法,用于研究在磁场、非线性辐射、线性和指数热源/散热与对流加热以及滑移条件的影响下,混合纳米流体在倾斜多孔拉伸片上的传热情况。为评估热传播时间,采用了 Cattaneo-Christov 模型。使用了 Legendre 小波定位技术 (LWCT),该技术采用了运算积分矩阵 (OMI),能够得出比其他方法更精确的结果。混合纳米流体由纳米粒子 AA7072 和 AA7075 以及作为基础流体的乙二醇和水(50%-50%)组成。当体积分数从 2% 增加到 10% 时,热传递增强率为 19.46%。同样明显的是,热松弛参数降低了热剖面,而线性和指数热源则改善了热剖面。还可以注意到,水平片材的速度曲线随体积分数的增加而减小,但垂直片材的速度曲线则增加。
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引用次数: 0
NONLINEAR DOUBLE-DIFFUSIVE CONVECTION IN AN ANISOTROPIC POROUS LAYER UNDER TIME-DEPENDENT ROTATION WITH INTERNAL HEATING AND SORET EFFECT 各向异性多孔层在随时间变化的旋转条件下的非线性双扩散对流与内部加热和索氏效应
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-06-01 DOI: 10.1615/jpormedia.2024052416
Samah. A Ali, Precious Sibanda, Munyaradzi Rudziva, Osman A.I Noreldin, Sicelo P. Goqo, Hloniphile S. Mthethwa
The study investigates the double-diffusive convection onset in a non-uniformly rotating anisotropic porous fluid layer under the influence of Soret and internal heating effects. The linear stability approach is employed to investigate the system when subjected to infinitesimal perturbations. The nonlinear case is investigated using a minimum truncateddouble Fourier series, leading to the derivation of nonlinear Lorenz-type equations. To solve these coupled equations,a local quasilinearization block hybrid method (LQBHM) is utilized. The analysis shows that the stability of the fluid system is dependent on the values of the Soret coefficient, rotation parameter, anisotropy parameters, and internal heating. Among other results, it was observed that the rotation and thermal anisotropy parameters have stabilizing effects on the fluid system. Additionally, the rotation modulation amplitude increases the rates of heat and mass transfer and so advances the onset of convection in the fluid system, whereas the modulation frequency has the opposite effect.
本研究探讨了在索雷特效应和内部加热效应影响下,非均匀旋转各向异性多孔流体层中发生的双扩散对流。采用线性稳定性方法研究了系统受到无限小扰动时的情况。使用最小截断双傅里叶级数研究了非线性情况,从而推导出非线性洛伦兹型方程。为了求解这些耦合方程,使用了局部准线性化块混合方法(LQBHM)。分析表明,流体系统的稳定性取决于索雷特系数、旋转参数、各向异性参数和内部加热的值。除其他结果外,还观察到旋转参数和热各向异性参数对流体系统具有稳定作用。此外,旋转调制振幅会增加热量和质量的传递速率,从而加快流体系统中对流的发生,而调制频率则具有相反的效果。
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引用次数: 0
MATHEMATICAL RANDOM GENERATION OF METAL FOAM AND NUMERICAL 3D SIMULATIONS OF HEAT TRANSFER IN A HYBRID SOLAR COLLECTOR 金属泡沫的数学随机生成和混合太阳能集热器传热的 3D 数值模拟
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-06-01 DOI: 10.1615/jpormedia.2024052398
syrine khadhrawi, haikel ben hamed, fakhreddine segni oueslati
The primary motive of the study is to explore numerically the heat transfer a hybrid solar collector, which is a partially filled Cartesian channel with random generated Metal Foam (MF). The channel is subjected to solar irradiation, and through it the air flows.To generate the MF, random Gaussian correlations are used. This technique allows spatial control of density, permeability, and porosity, whose values are also theoretically accessible. To solve the equations of fluid dynamics and heat transfer, a finite volume multigrid scheme is used. Energy equation is framed on the two temperatures model, and momentum equation is that of the clear fluid case, since the pore’s volumes are largely greater than the VER in the porous media. Thevelocity as well as temperature fields are discussed for different pertinent parameters, and mathematic correlations are given between the Nusselt, the porosity, the Richardson and the Reynolds numbers. It is found that beyond two blocks, it is useless to add MF because we reach higher homogeneity in temperature and good efficiency in heat transfer. It is also found that the two temperatures model is very realisticthan models with averaged properties, and gives wide range of perspectivesthanks to the possibility of carrying out numerical and experimental investigations onthe same MF model: randomly generated and printable in 3D
该研究的主要目的是对混合太阳能集热器的传热进行数值探索,该集热器是一个部分填充了随机生成的金属泡沫(MF)的笛卡尔通道。为了生成金属泡沫,使用了随机高斯相关技术。这种技术可以对密度、渗透性和孔隙率进行空间控制,其数值也可以从理论上获得。为了求解流体动力学和热传递方程,采用了有限体积多网格方案。由于孔隙体积在很大程度上大于多孔介质中的 VER,因此能量方程采用双温模型,动量方程采用透明流体情况下的动量方程。讨论了不同相关参数下的速度场和温度场,并给出了努赛特数、孔隙率、理查森数和雷诺数之间的数学相关性。研究发现,超过两个区块后,添加 MF 就没有用了,因为我们可以达到更高的温度均匀性和良好的传热效率。研究还发现,与平均特性模型相比,双温模型非常逼真,而且由于可以对同一 MF 模型进行数值和实验研究,因此具有广阔的前景:该模型是随机生成的,可在三维空间打印。
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引用次数: 0
Wastewater Pollutant Discharge Concentration Effect on Non-Newtonian Hybrid Nanofluid Flow across a Riga Sheet: Numerical Exploration 污水污染物排放浓度对里加片非牛顿混合纳米流体流动的影响:数值探索
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-05-01 DOI: 10.1615/jpormedia.2024052654
Muhammad Bilal, Saif Ullah, Almetwally M. Mostafa, Nouf F. AlQahtani, Shuo Li
Wastewater disposal plays an important role in several sectors of industry and environmental systems. The objective of the present research is to avoid and monitor pollutants discharge in the pure water resource. For the purpose, the influence of PDC (pollutant discharge concentration) on the non-Newtonian hybrid nanofluids (NNNF) flow across a porous surface of Riga sheet is examined. The two different types of NNNF (second-grade and Walter’s B fluids) have been considered. The copper (Cu) and iron oxide (Fe3O4) nanoparticles (NPs) are used in the base fluid Sodium Alginate (C6H9NaO7) to prepare the hybrid nanofluid. The NNNF flow is designed in form of nonlinear system of partial differential equations (PDEs), which are simplified to dimensionless form of ordinary differential equations by using similarity transformation and then numerically handled through the parametric continuation method (PCM). The numerical results of the proposed model are compared with the published literature for the limiting case. The present results reveal higher similarity with the existing study. From the graphical results, it can be observed that the fluid temperature drops with the variation of Cu and Fe3O4-NPs. The influence of external pollutant factor enhances the concentration of pollutants in case of both fluids. Furthermore, the rising quantity of Cu and Fe3O4 NPs in Sodium Alginate based hybrid nanofluid, the energy transfer rate enhances form 3.79% to 8.25%, in case of Second-Grade hybrid nanofluid and 3.88% to 9.86% in case of Walter’s B hybrid nanofluid respectively.
废水处理在多个工业部门和环境系统中发挥着重要作用。本研究的目的是避免和监测纯净水资源中的污染物排放。为此,研究了 PDC(污染物排放浓度)对流经里加片多孔表面的非牛顿混合纳米流体(NNNF)的影响。研究考虑了两种不同类型的 NNNF(二级流体和 Walter's B 流体)。在基础流体海藻酸钠(C6H9NaO7)中使用了铜(Cu)和氧化铁(Fe3O4)纳米粒子(NPs)来制备混合纳米流体。NNNF 流动被设计为非线性偏微分方程(PDE)系统,通过相似性转换将其简化为无量纲形式的常微分方程,然后通过参数延续法(PCM)进行数值处理。所提模型的数值结果与已发表的极限情况文献进行了比较。本结果显示与现有研究的相似度较高。从图表结果中可以看出,流体温度随着 Cu 和 Fe3O4-NPs 的变化而下降。在外部污染物因素的影响下,两种流体中的污染物浓度都有所提高。此外,随着海藻酸钠基混合纳米流体中 Cu 和 Fe3O4-NPs 数量的增加,二级混合纳米流体的能量传递率从 3.79% 提高到 8.25%,Walter's B 混合纳米流体的能量传递率从 3.88% 提高到 9.86%。
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引用次数: 0
A Case Study: Depth Impact on Recovery of Immiscible Gas Injection in an Iranian Undersaturated Oil Reservoir 案例研究:伊朗未饱和油藏不相溶气体注入深度对采收率的影响
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-05-01 DOI: 10.1615/jpormedia.2024052247
Sepideh Zobeidi
In saturated oil reservoirs, the pressure of the reservoir is gradually reduced with production of oil, and this ultimately leads to gas production of the reservoir and formation of a gas cap. After the period of natural depletion from oil reservoirs, it is necessary to use secondary and then tertiary methods of EOR. One of the most common methods (if gas is available) is gas injection. By injecting gas, while pressure maintenance and re-pressuring to initial pressure of the reservoir, the recovery factor increases. This increase in recovery factor mainly occurs due to maintenance or increase in pressure and decrease in interfacial tension (IFT) and viscosity.In Iran, except in one of the fields where gas injection is done with the aim of miscible gas injection, other gas injection projects are done with the aim of pressure maintenance. In these projects, the proper place for injection is not taken into consideration and the gas is done in the highest part of the reservoir, the question was raised at what depth the gas injection should be done to be optimal. Therefore, one of the reservoirs in the south of Iran was selected and a feasibility study was conducted with the aim of determining the most suitable injection point.In this study, the issue of the appropriate place for gas injection from the point of view of whether it is in the gas cap, in the middle of the production column, or at near the water/oil contact has been investigated and the results have been presented. Also it is approved that the injection in saturated reservoir has more recovery factor than under saturated reservoir. Finally, injection near water/oil contact is known as the preferred option.
在饱和油藏中,随着石油的生产,油藏的压力逐渐降低,最终导致油藏产气并形成气帽。在油藏自然枯竭期过后,有必要使用二级和三级采油方法。最常用的方法之一(如果有天然气)是注入天然气。通过注入天然气,在保持压力并重新加压至储层初始压力的同时,采收率会提高。采收率的提高主要是由于压力的维持或提高以及界面张力(IFT)和粘度的降低。在伊朗,除了一个油田是以混溶气注入为目的进行注气外,其他注气项目都是以压力维持为目的。在这些项目中,没有考虑适当的注气位置,而是在储层的最高处注气。因此,我们选择了伊朗南部的一个储层,并进行了可行性研究,目的是确定最合适的注气点。在这项研究中,我们从是在气帽、生产柱中间还是在水/油接触点附近的角度,对注气的适当位置问题进行了调查,并给出了结果。研究还证实,在饱和储层注气比在饱和储层下注气的采收率更高。最后,在水/油接触点附近注入被认为是首选方案。
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引用次数: 0
Instability of thermosolutal convection in a Brinkman-Darcy-Kelvin-Voigt fluid 布林克曼-达西-开尔文-伏依格特流体中的热固性对流的不稳定性
IF 2.3 4区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-05-01 DOI: 10.1615/jpormedia.2024050970
Zaid Abbas Afluk, Akil Harfash
In this article, we investigate the problem of thermosolutal convection occurring in a Brinkman-Darcy-Kelvin-Voigt fluid. This phenomenon takes place when a layer is heated from beneath while also being exposed to salt either from the upper or lower side. Both linear instability and conditional nonlinear stability analyses are applied in this study. The linear and nonlinear systems have been solved using Chebyshev collocation technique and the QZ algorithm. The computation of instability boundaries is undertaken for the occurrence of thermosolutal convection in a fluid containing dissolved salt, where the fluid is of a complex viscoelastic nature resembling the Navier-Stokes-Voigt type. Notably, the Kelvin-Voigt parameter emerges as a critical factor in maintaining stability, particularly for oscillatory convection. In instances where the layer is heated from below and salted from above, the thresholds of stability align with those of instability, substantiating the appropriateness of the linear theory in predicting the thresholds for convection initiation. Conversely, when the layer is subjected to salting from the bottom while being heated, the thresholds of stability remain constant even with variations in the salt Rayleigh number. This leads to a significant disparity between the thresholds of linear instability and those of nonlinear stability.
在本文中,我们研究了布林克曼-达西-开尔文-伏依格特流体中发生的热溶液对流问题。当一层从下面被加热,同时又从上侧或下侧暴露在盐中时,就会发生这种现象。本研究采用了线性不稳定性和条件非线性稳定性分析。线性和非线性系统均采用切比雪夫配位技术和 QZ 算法求解。不稳定性边界的计算是针对含溶解盐的流体中发生热溶解对流的情况,其中流体具有类似于 Navier-Stokes-Voigt 类型的复杂粘弹性。值得注意的是,Kelvin-Voigt 参数是保持稳定的关键因素,特别是在振荡对流中。在对流层从下往上加热、从上往下加盐的情况下,稳定性临界值与不稳定性临界值一致,这证明了线性理论在预测对流开始的临界值方面的适当性。相反,当层在加热的同时从底部加盐时,即使盐的雷利数发生变化,稳定临界值也保持不变。这就导致了线性不稳定性临界值与非线性稳定性临界值之间的巨大差异。
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引用次数: 0
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Journal of Porous Media
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