• Kyungpook Mathematical Journal
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• v.61 no.2
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• pp.323-351
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• 2021

The present paper addresses magnetohydrodynamic pulsating flow and heat transfer of two immiscible, incompressible, and conducting couple stress fluids between two permeable beds. The flow between the permeable beds is assumed to be governed by Stokes' [28] couple stress fluid flow equations, whereas the dynamics of permeable beds is determined by Darcy's law. In this study, matching conditions were used at the fluid-fluid interface, whereas the B-J slip boundary condition was employed at the fluid-porous interface. The governing equations were solved analytically, and the expressions for velocity, temperature, mass flux, skin friction, and rate of heat transfer were obtained. The analytical expressions were numerically evaluated, and the results are presented through graphs and tables.

• Steel and Composite Structures
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• v.51 no.4
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• pp.363-375
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• 2024

Within the optimization field, addressing the intricate posed by fluidic pressure loads on functionally graded structures with frequency-related designs is a kind of complex design challenges. This paper thus introduces an innovative density-based topology optimization strategy for frequency-constraint functionally graded structures incorporating Darcy's law and a drainage term. It ensures consistent treatment of design-dependent fluidic pressure loads to frequency-related structures that dynamically adjust their direction and location throughout the design evolution. The porosity of each finite element, coupled with its drainage term, is intricately linked to its density variable through a Heaviside function, ensuring a seamless transition between solid and void phases. A design-specific pressure field is established by employing Darcy's law, and the associated partial differential equation is solved using finite element analysis. Subsequently, this pressure field is utilized to ascertain consistent nodal loads, enabling an efficient evaluation of load sensitivities through the adjoint-variable method. Moreover, this novel approach incorporates load-dependent structures, frequency constraints, functionally graded material models, and polygonal meshes, expanding its applicability and flexibility to a broader range of engineering scenarios. The proposed methodology's effectiveness and robustness are demonstrated through numerical examples, including fluidic pressure-loaded frequency-constraint structures undergoing small deformations, where compliance is minimized for structures optimized within specified resource constraints.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.20 no.12
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• pp.3715-3727
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• 1996

Compression behavior of semi-solid aluminum alloys with controlled solid fractions was investigated in the present study. The stress and strain relationships were obtained from the compression test. Variations of the solid fraction distribution and the material behaviour were investigated for various friction coeffieiants and die speedsd. For a finite element analysis, the semi-solid material was described by a compressible regid viscoplastic model for the solid region and darcy's law for the liquid region. The computed results were compared with experimental data for the validity of the yield criteria.

• Journal of Energy Engineering
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• v.10 no.3
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• pp.266-271
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• 2001

Buoyancy-driven natural convection is analysed by employing a linear stability theory in hori-zontal porous media with net through flow. Darcy's law is used to model the flow characteristics in porous media. Bated on the results of linear stability analysis, a heat transfer correlation was obtained by employing weakly nonlinear analysis. As the net through flow increases, the system becomes more stable and the effect of the Darcy-Rayleigh number on the Nusselt number decreases.

• Korean Chemical Engineering Research
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• v.57 no.5
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• pp.723-729
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• 2019

A theoretical analysis was conducted of convective instability driven by buoyancy forces under transient temperature fields in an annular porous medium bounded by coaxial vertical cylinders. Darcy's law and Boussinesq approximation are used to explain the characteristics of fluid motion and linear stability theory is employed to predict the onset of buoyancy-driven motion. The linear stability equations are derived in a global domain, and then cast into in a self-similar domain. Using a spectral expansion method, the stability equations are reformed as a system of ordinary differential equations and solved analytically and numerically. The critical Darcy-Rayleigh number is founded as a function of the radius ratio. Also, the onset time and corresponding wavelength are obtained for the various cases. The critical time becomes smaller with increasing the Darcy-Rayleigh number and follows the asymptotic relation derived in the infinite horizontal porous layer.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.14 no.11
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• pp.1059-1065
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• 2004

In this paper, the dynamic characteristic analysis of carriage structure supported by air bearings were performed. Toward this end, the characteristics of air bearing were numerically analyzed to estimate the stiffness of the air bearing and the clearance between air bearing and guide surface. The modal analysis of the carriage structure was performed by using finite element method, and the experimental modal analysis was also performed to validate the finite element model, where rigid body modes were compared to validate the stiffness of the air bearings. From the results, the air spring stiffness can be estimated within the range of acceptable accuracy under any pressure and clearance condition.

• Water for future
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• v.24 no.1
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• pp.109-117
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• 1991

The governing equation of flow in porous media is developed on the bases of the continuity equation of fluid for transient flow through a saturated-unsaturated zone, and substitution of Darcy's law. The numerical solutions are obtained by finite element method based on the Galerkin principles weighted residuals. The analysis are carried out by using the unsteady storm data observed and rainfall intensities which are obtained by using the rainfall excess model in considering of the initial losses. The functional relationships between the hydraulic conductivity, capillary pressure head and volumetric water content are applied to the flow of water through unsaturated soil varied with changes of water content.

• Journal of the Speleological Society of Korea
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• no.87
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• pp.34-43
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• 2008

카르스트는 자연수의 용식작용에 의하여 형성되는 지형이다. 용식은 카르스트 지형에 있어 가장 우세한 과정이 아니며, 또한 지배적인 과정도 아니지만, 그것은 다른 유형의 지형에서 형성되는 결과보다 용해질 암석에서 더 다양한 역할을 하기 때문이다. 용식의 가장 중요한 역할은 바위의 침투성을 증가시키면서 지하의 공간을 확대시키는 데 있다. 이는 지하수에 의해 지표면의 점진적인 용식적인 변화인 카렌, 석문, 용천, cockpit 및 mogote, sinkholes, hum 등의 카르스트 지형을 창출한다. 수문학의 대표적인 이론인 Darcy's Law가 용식지형에서는 전혀 적용되지 않는다는 검증 결과만 하더라도 카르스트가 얼마나 다양하고 복잡한 수문학적인 형성과정을 가지고 있는가를 알 수 있을 것이다. 특히 Darcy의 법칙은 비등방성과 비균질적인 투수층에는 적용되지 않는다. 왜냐하면 카르스트 지역에서는 1차삼투율(primary transmissivity)의 공극율에 따른 투과율이 적용되는 일반적인 암석에서의 결과보다 2차삼투율(secondly transmissivity인 단층선, 균열, 절리면 등에 의한 투과율이 훤씬 증대되기 때문이다. 따라서 카르스트수문학은 자연수의 용식작용에 의하여 형성되는 지형이지만 투수성, 지하수의 유속, 동공속의 소지류의 구배, 입수율과 배출율 등이 일반적인 수문학과 다른 결과를 나타내고 있다.

• Resources Recycling
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• v.21 no.5
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• pp.38-43
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• 2012

In this study, analysis of the flow of water in the soil environment was attempted to examine the changing patterns of permeability coefficient, k, presented in Darcy's law depending on soil particle size and the pattern of mixed soil that main factor affecting ground water flow in soil environment. In addition, permeability coefficient patterns depending on changes in water temperature and concentration were measured. As a result, the permeability for the soil particle size and mixing pattern is proportional to the size of the particles, and it was also influenced by the porosity depending on the mixed pattern and stratification. Especially compared with the single particle, mixing different sizes samples showed a lower k than the value of smaller single particles. In addition, permeability of groundwater increased with increasing temperature, also permeability decreased depending on the concentration of ions in groundwater. The results of this study were expected to use as meaningful data for the phenomenon reflects the characteristics of the soil to understand mobility of groundwater in soil environment.

• Proceedings of the Korean Society of Agricultural Engineers Conference
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• 1998.10a
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• pp.414-418
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• 1998

This study was carried out to analyze permeability of steel slag. Three molds with the same grading of raw steel slag were used to measure the coefficient of permeability. Darcy's law could be applied to the steel slag below 0.5 of critical hydraulic gradient because the water flow changed from laminar flow to turbulent flow above the critical hydraulic gradient. Also, the velocity of flow changed according to hydraulic gradient. The coefficient of permeability of the specimen was $\alpha$$\times$10$^{-3}$ cm/ sec.