Transport in Porous Media最新文献

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Super-Resolution Imaging of Multiphase Fluid Distributions in Porous Media Using Deep Learning 基于深度学习的多孔介质多相流体分布超分辨率成像
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-09-13 DOI: 10.1007/s11242-025-02210-3
Zhuangzhuang Ma, Branko Bijeljic, Gege Wen, Kunning Tang, Yanghua Wang, Martin J. Blunt
{"title":"Super-Resolution Imaging of Multiphase Fluid Distributions in Porous Media Using Deep Learning","authors":"Zhuangzhuang Ma,&nbsp;Branko Bijeljic,&nbsp;Gege Wen,&nbsp;Kunning Tang,&nbsp;Yanghua Wang,&nbsp;Martin J. Blunt","doi":"10.1007/s11242-025-02210-3","DOIUrl":"10.1007/s11242-025-02210-3","url":null,"abstract":"<div><p>Super-resolution imaging techniques use deep learning to create large-scale, high-resolution images by combining a low-resolution image encompassing a large volume with high-resolution images on a smaller volume; however, applications to date have been limited to determining the pore structure only. We have successfully applied an enhanced deep super-resolution (EDSR) method to three-dimensional X-ray images of two fluid phases in the pore space of water-wet and mixed-wet Bentheimer sandstone, producing high-resolution results that capture both the pore space and two fluid phases within it, while expanding the field of view. We calculated and compared the geometrical and physical properties, including porosity, permeability, saturation, interfacial area, interfacial curvature, and contact angle derived from high-resolution, super-resolution, and low-resolution images. This comparison confirms that our super-resolution outcomes are consistent with the ground truth and far superior to low-resolution results.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11242-025-02210-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145050862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Upscaled Coefficients for Immiscible Two-Phase Flow in Porous Media for Drainage and Imbibition Processes 排水和渗吸过程中多孔介质非混相两相流的放大系数
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-09-05 DOI: 10.1007/s11242-025-02222-z
J. A. Briones-Carrillo, C. G. Aguilar-Madera, G. Espinosa-Paredes, A. Pérez-Valseca, E. C. Herrera-Hernández, V. Matías-Pérez, I. Navarro-de León, A. T. Finol-González
{"title":"Upscaled Coefficients for Immiscible Two-Phase Flow in Porous Media for Drainage and Imbibition Processes","authors":"J. A. Briones-Carrillo,&nbsp;C. G. Aguilar-Madera,&nbsp;G. Espinosa-Paredes,&nbsp;A. Pérez-Valseca,&nbsp;E. C. Herrera-Hernández,&nbsp;V. Matías-Pérez,&nbsp;I. Navarro-de León,&nbsp;A. T. Finol-González","doi":"10.1007/s11242-025-02222-z","DOIUrl":"10.1007/s11242-025-02222-z","url":null,"abstract":"<div><p>In this work, we study immiscible two-phase flow in porous media through the upscaled model derived by Whitaker in 1994. This model contains two momentum equations for each fluid, which are coupled through four effective tensors, one for each phase and two crossed tensors between phases. Two tensors correspond to the effective permeability of phases, and the other two are named as viscous drag tensors. The four tensors are determined by solving associated tensorial closure problems in representative geometries of the porous medium. We have numerically solved the integro-differential equations composing the closure problems in a 2D cavity (unit cell) undergoing imbibition and drainage processes, as a first approximation. Thus, we have estimated the main directions of the effective tensors as functions of the wetting-phase saturation. The effective permeabilities follow trends similar to experimentally measured permeability relative curves, showing hysteresis for drainage and imbibition, although with some deviations from the experimental values. Meanwhile, the viscous drag tensors exhibit estimations of order 1, which are in agreement with the analytical predictions of Whitaker. The findings of this work are promising, as in future works, more realistic cells as: thin sections of rocks, SEM images, or 3D tomography of rocks, can be used to improve the numerical predictions of the effective tensors and elucidate thus the effect of microscale phenomena on the two-phase flow at larger scales.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modelling Transition Between Fully and Partially Saturated Porous Media via a New Implicit Formulation of Interface Evolution 基于界面演化新隐式公式的全饱和和部分饱和多孔介质过渡模型
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-09-05 DOI: 10.1007/s11242-025-02215-y
Julien Bomberault, Quentin Rousseau, Ngoc Son Nguyen, Giulio Sciarra
{"title":"Modelling Transition Between Fully and Partially Saturated Porous Media via a New Implicit Formulation of Interface Evolution","authors":"Julien Bomberault,&nbsp;Quentin Rousseau,&nbsp;Ngoc Son Nguyen,&nbsp;Giulio Sciarra","doi":"10.1007/s11242-025-02215-y","DOIUrl":"10.1007/s11242-025-02215-y","url":null,"abstract":"<div><p>Air and water flows occurring in a porous material modify its mechanical properties. Evolution of the interface between saturated and partially saturated layers of a soil is of concern in this paper. In particular, the description of a drainage/imbibition front is developed gathering the two classical saturated and partially saturated poromechanical problems, with pressures of both fluids and solid displacement as unknowns. The presented model enables saturated and partially saturated layers to coexist without considering gaseous air dissolving into liquid water. Nucleation or collapse of the drainage/imbibition front moving from or reaching an air connected boundary is characterised considering the Signorini contact conditions on the liquid phase. The model abilities are confirmed numerically, <i>via</i> finite element simulations, showing among other that this new description of interface motion does not imply hysteresis phenomena. Parametric investigation developed with respect to drainage kinetics and thickness of the layer which regularises the interface between the saturated and the partially saturated domain are also provided.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convection Dynamics in a Brinkman Bidisperse Porous Medium Under Internal Heating 内加热条件下Brinkman双分散多孔介质的对流动力学
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-09-05 DOI: 10.1007/s11242-025-02213-0
F. Capone, R. De Luca, J. A. Gianfrani
{"title":"Convection Dynamics in a Brinkman Bidisperse Porous Medium Under Internal Heating","authors":"F. Capone,&nbsp;R. De Luca,&nbsp;J. A. Gianfrani","doi":"10.1007/s11242-025-02213-0","DOIUrl":"10.1007/s11242-025-02213-0","url":null,"abstract":"<div><p>This study explores the onset of thermal instability within a bidisperse porous medium saturated with a homogeneous, incompressible fluid, subjected to a non-uniform internal heat generation and constant temperature gradient due to heating from below. The fluid motion is modelled with the Darcy’s law in micropores, while the Brinkman’s law is employed in macropores to ensure a more accurate representation of momentum transfer across different scales. The system is modelled under the Oberbeck–Boussinesq approximation, where density variations are incorporated solely in the buoyancy term, with the fluid density being temperature-dependent. Linear and nonlinear stability analyses are performed and different profiles of depth-dependent heat source are considered to investigate its effect in various physical scenarios. Both analyses lead to a generalized eigenvalue problem that is solved numerically by means of the Chebyshev-<span>(tau)</span> method. The nonlinear stability analysis is carried out in the context of the energy theory by means of the differential constraints method. A golden section algorithm is implemented to determine the critical thresholds for linear and nonlinear stability analyses and discuss their proximity.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11242-025-02213-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of Thermal and Hydrodynamic Behavior of Nanofluid Flow Through Porouse Cylindre in Stepped Channel with Elastic Upper Wall 弹性上壁阶梯通道中纳米流体通过多孔圆柱的热动力特性分析
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-08-26 DOI: 10.1007/s11242-025-02221-0
Hanaa Derraz, Mohamed Bouzit, Atika Bencherif
{"title":"Analysis of Thermal and Hydrodynamic Behavior of Nanofluid Flow Through Porouse Cylindre in Stepped Channel with Elastic Upper Wall","authors":"Hanaa Derraz,&nbsp;Mohamed Bouzit,&nbsp;Atika Bencherif","doi":"10.1007/s11242-025-02221-0","DOIUrl":"10.1007/s11242-025-02221-0","url":null,"abstract":"<div><p>This study aims to investigate forced convection and heat transfer in a two-dimensional channel featuring a backward-facing step, a stationary adiabatic porous cylinder, and a deformable upper wall. The research addresses the complex coupling of fluid–structure interaction and porous media effects, a novel configuration not extensively explored in the existing literature. A numerical approach based on the finite element method within an arbitrary Lagrangian–Eulerian (ALE) framework is employed to simulate laminar flow and heat transfer over ranges of Reynolds (10 ≤ Re ≤ 200), Darcy (10<sup>−6</sup> ≤ Da ≤ 10<sup>−1</sup>), and Cauchy (10<sup>−7</sup> ≤ Ca ≤ 10<sup>−4</sup>) numbers. The results, illustrated through isotherms, streamline patterns, and both local and average Nusselt number distributions, demonstrate that increasing the Reynolds number significantly enhances convective heat transfer. A decrease in the cylinder’s porosity strengthens vortex formation and thermal gradients, leading to a 36.4% increase in the average Nusselt number. Moreover, greater wall elasticity yields a modest 2.3% improvement in heat transfer. Regarding fluid–structure interaction, the maximum deformation of the upper elastic wall increases markedly with the Cauchy number, decreases by approximately 52.6% as the Reynolds number increases from 10 to 200, and reaches a peak at an intermediate Darcy number (Da = 10<sup>−3</sup>), highlighting the coupled influence of flow inertia and porous permeability. These findings provide quantitative insights into the interplay between structural deformation and porous media, contributing to the optimization of thermal management strategies in deformable thermo-fluidic systems.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Nield-Kuznetsov Functions and How they Arise in Modelling Flow in the Transition Layer 涅尔德-库兹涅佐夫函数及其在过渡层流建模中的出现
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-08-26 DOI: 10.1007/s11242-025-02219-8
M. H. Hamdan, M. S. Abu Zaytoon
{"title":"The Nield-Kuznetsov Functions and How they Arise in Modelling Flow in the Transition Layer","authors":"M. H. Hamdan,&nbsp;M. S. Abu Zaytoon","doi":"10.1007/s11242-025-02219-8","DOIUrl":"10.1007/s11242-025-02219-8","url":null,"abstract":"<div><p>Flow through the configuration of a three-layer channel containing a transition porous layer of variable permeability is revisited in this work to illustrate how Brinkman’s equation, which governs the flow in the transition layer, is reduced to the classic inhomogeneous differential equations of Airy and Weber, with constant forcing terms. Solutions to the homogeneous parts of these equations are given in terms of Airy’s and Weber’s special functions. Particular solutions to the resulting inhomogeneous equations give rise to three Nield-Kuznetsov functions of the first kind, which are analyzed in this work and extended to obtain general solutions to equations with variable forcing terms whose general solutions are expressed in terms of three Nield-Kuznetsov functions of the second kind. Methods of evaluation of all resulting special functions are presented.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Explosive Byproduct Gas Transport Through Sorptive Geomedia 爆炸副产物气体通过吸附几何形状的输送
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-08-26 DOI: 10.1007/s11242-025-02212-1
Chelsea W. Neil, Daniel L. Eldridge, Hayden Miller, John P. Ortiz, Philip H. Stauffer, Thom Rahn, Scott T. Broome, Hakim Boukhalfa, Garrett G. Euler
{"title":"Explosive Byproduct Gas Transport Through Sorptive Geomedia","authors":"Chelsea W. Neil,&nbsp;Daniel L. Eldridge,&nbsp;Hayden Miller,&nbsp;John P. Ortiz,&nbsp;Philip H. Stauffer,&nbsp;Thom Rahn,&nbsp;Scott T. Broome,&nbsp;Hakim Boukhalfa,&nbsp;Garrett G. Euler","doi":"10.1007/s11242-025-02212-1","DOIUrl":"10.1007/s11242-025-02212-1","url":null,"abstract":"<div><p>Current underground nuclear explosion (UNE) detection strategies rely heavily on atmospheric noble gas sampling of radioxenon. However, discriminating nuclear weapons testing programs from civilian sources is difficult due to highly variable atmospheric radioxenon backgrounds and processes affecting subsurface transport of parent radionuclides. We aim to study the transport of gases produced by subsurface explosions as novel stable signatures for underground nuclear explosion (UNE) monitoring. These gases may be produced in large quantities with distinct molecular ratios, which will be impacted by subsurface transport processes. To demonstrate how ratios of gases produced by explosions can change during transport in geomaterials, we conducted laboratory benchtop experiments on the transport of carbon dioxide (CO<sub>2</sub>) and hydrogen (H<sub>2</sub>) gases through variably saturated zeolitic tuff, which is abundant at the historic US testing site. We observed that zeolitic tuff sorbs substantial quantities of CO<sub>2</sub> while allowing H<sub>2</sub> to transport more freely, leading to changes in the molecular ratios of the two gases along the transport pathway. Gas uptake in the dry zeolitic tuff core was 72.3% for CO<sub>2</sub>, compared with 53.4% for xenon and 7.6% for H<sub>2</sub>. The presence of 20% water saturation disrupted the CO<sub>2</sub> sorption process, though to a lesser extent than observed for noble gases, with a 36.7% drop in xenon sorption compared with a 21.9% drop for CO<sub>2</sub>. These results represent the first observations of zeolite sorption altering explosive gas ratios during transport through geomedia relevant to nuclear proliferation monitoring.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convolution Neural Network Model Framework to Predict Microscale Drag Force for Turbulent Flow in Porous Media 预测多孔介质湍流微尺度阻力的卷积神经网络模型框架
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-08-23 DOI: 10.1007/s11242-025-02209-w
Vishal Srikanth, Andrey V. Kuznetsov
{"title":"Convolution Neural Network Model Framework to Predict Microscale Drag Force for Turbulent Flow in Porous Media","authors":"Vishal Srikanth,&nbsp;Andrey V. Kuznetsov","doi":"10.1007/s11242-025-02209-w","DOIUrl":"10.1007/s11242-025-02209-w","url":null,"abstract":"<div><p>Convolution neural networks (CNNs) are well-suited to model the nonlinear relationship between the microscale geometry of porous media and the corresponding flow distribution, thereby accurately and efficiently coupling the flow behavior at the micro- and macroscale levels. In this paper, we have identified the challenges involved in implementing CNNs for macroscale model closure in the turbulent flow regime, particularly in the prediction of the drag force components arising from the microscale level. We report that significant error is incurred in the crucial data preparation step when the Reynolds averaged pressure and velocity distributions are interpolated from unstructured stretched grids used for large eddy simulation (LES) to the structured uniform grids used by the CNN model. We show that the range of the microscale velocity values is 10 times larger than the range of the pressure values. This invalidates the use of the mean squared error loss function to train the CNN model for multivariate prediction. We have developed a CNN model framework that addresses these challenges by proposing a conservative interpolation method and a normalized mean squared error loss function. We simulated a model dataset to train the CNN for turbulent flow prediction in periodic porous media composed of cylindrical solid obstacles with square cross-section by varying the porosity in the range 0.3 to 0.88. We demonstrate that the resulting CNN model predicts the pressure and viscous drag forces with less than 10% mean absolute error when compared to LES while offering a speedup of O(10<sup>6</sup>).</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11242-025-02209-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144892428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Permeability Dependency of Turbulence Over Packed-Beds 充填床上湍流的渗透率依赖性
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-08-23 DOI: 10.1007/s11242-025-02218-9
Kazuhiko Suga, Masatoshi Era, Yusuke Kuwata
{"title":"Permeability Dependency of Turbulence Over Packed-Beds","authors":"Kazuhiko Suga,&nbsp;Masatoshi Era,&nbsp;Yusuke Kuwata","doi":"10.1007/s11242-025-02218-9","DOIUrl":"10.1007/s11242-025-02218-9","url":null,"abstract":"<div><p>To characterize turbulence over porous media with porosities <span>(varphi &lt;0.5)</span>, three types of packed-beds were manufactured: cubically packed spheres (case S), randomly packed rice-grain-shaped pellets (case E), and crushed stones (case C), with measured porosities of <span>(varphi =0.45)</span>, 0.37, and 0.30, respectively. After measuring their permeabilities, particle image velocimetry (PIV) measurements were conducted for flows under conditions characterized by the permeability Reynolds number (<span>(Re_K)</span>) ranging from 2.1 to 18.3. The results were then compared with previous data on turbulent flows over foamed ceramics with a porosity of <span>(varphi simeq 0.8)</span>, reported by Suga et al. (Int J Heat Fluid Flow 31(6), 974–984, 2010). The measured turbulence characteristics were analyzed to examine their correlation with <span>(Re_K)</span> and to evaluate the applicability of a unified scaling approach across a wide range of porous beds. The findings suggest that while some distribution profiles generally follow <span>(Re_K)</span>, this parameter alone is insufficient as a universal scaling factor for turbulence over packed-beds, as the roughness scale also exhibits significant dependence on surface shape rather than the porosity.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144892427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability Analysis of Darcy–Bénard Convection Subjected to Time-Dependent Heating Using an LTNE Model 基于LTNE模型的时间相关加热下darcy - b<e:1>对流稳定性分析
IF 2.6 3区 工程技术
Transport in Porous Media Pub Date : 2025-08-21 DOI: 10.1007/s11242-025-02223-y
Kapil Dev, Chunendra K. Sahu
{"title":"Stability Analysis of Darcy–Bénard Convection Subjected to Time-Dependent Heating Using an LTNE Model","authors":"Kapil Dev,&nbsp;Chunendra K. Sahu","doi":"10.1007/s11242-025-02223-y","DOIUrl":"10.1007/s11242-025-02223-y","url":null,"abstract":"<div><p>A bounded porous domain saturated with a Newtonian fluid and subjected to time-dependent temperature variation has various practical applications, such as in solar energy storage, nuclear reactors, food processing industry, and agricultural science. In the current work, we study Darcy–Bénard convection in a horizontal fluid-saturated porous layer that is heated from below and confined in all directions. We look into an intricate form of the modulated Darcy–Bénard problem, where the temperatures at the bottom and top boundaries undergo sinusoidal temporal modulation about their mean values. We perform linear stability analysis to understand the onset of convection using a two-phase heat model based on the assumption that the solid and fluid phases of the system are not in local thermal equilibrium. The time-periodic eigenvalue problem obtained here is solved using the Floquet theory to find the onset threshold value of critical Rayleigh number. Our results suggest that the convection through subharmonic modes is preferable for either small (<span>(text {H} &lt; 4.3))</span> or large (H <span>(&gt; 175)</span>) interphase heat transfer coefficient, while for the moderate values of H, convection takes place through harmonic mode only. In the paper, we discuss the results in detail and present a comparison with those from previous studies.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144887984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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