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2 multiscale modelling of chloride ions transport in recycled aggregates concrete
Published in Günther Meschke, Bernhard Pichler, Jan G. Rots, Computational Modelling of Concrete and Concrete Structures, 2022
A. Fanara, L. Courard, F. Collin
The second factor of the Equation 9 is related to the liquid water convection. The Darcy’s law is used to describe the movement of a fluid (water) inside a porous medium. Under the hypothesis of a homogeneously permeable medium, and in the absence of gravitational forces, the fluid flux is directly proportional to the gradient of pressure (noted ∇Pw): viw=−kμw∂Pw∂xi where k[m2] is the intrinsic permeability of the porous medium, and μw|kg/m.s| is the dynamic viscosity of the fluid.
Soils, rocks, and groundwater
Published in Rodrigo Salgado, The Engineering of Foundations, Slopes and Retaining Structures, 2022
Soils originate from the weathering of rocks. The rocks that give origin to soil are of three types: igneous, sedimentary, and metamorphic. If the soils remain in place, they are referred to as residual soils, otherwise, as transported soils. Groundwater often exists within the soil pores. Darcy’s law is key to the quantification of groundwater flow in soils. According to this law, the specific dischargev is directly proportional to the hydraulic gradienti: v=QA=−Ki
Condition survey and diagnosis (B) – laboratory measurements
Published in Brian Cherry, Green Warren, Corrosion and Protection of Reinforced Concrete, 2021
As advised at Section 2.3, the penetration of water into concrete under a pressure head (permeability) is an important durability performance parameter for concrete exposed to water pressure. The coefficient of permeability or hydraulic conductivity is defined, as advised at Section 2.3, by Darcy’s Law, and has the units of length/time (typically m.sec−1).
Electroosmosis-driven heat transfer in Jeffrey fluid flow through tapered porous channel
Published in Numerical Heat Transfer, Part A: Applications, 2023
Saima Noreen, Kaneez Fatima, Dharmendra Tripathi
The equation describing fluid flow through a porous medium is known as Darcy’s law. This law was first described by Henry Darcy based on his experiment on water flow through sand beds [20]. Darcy’s law is applicable in several fields such as petroleum engineering [21] to determine the flow through permeable materials and the transfer of methane in coal particles [22]. Since its discovery, there has been extensive research in the field of Darcy’s law. Sheikholeslami [23] investigated the impact of Lorentz forces on the hydrothermal behavior of nanofluids using Darcy’s law, and the final equations were calculated using the control volume-dependent finite element method. Afridi et al. [24] demonstrated the formation of ramified entropy due to heat and mass transfer in the flow of a dissipative elastic fluid through a porous medium.
The performance evolution of hybrid nanofluid flow over a rotating disk using Cattaneo–Christov double diffusion and Yamada–Ota model
Published in Waves in Random and Complex Media, 2022
Himanshu Upreti, Ashish Mishra
Darcy’s law is used to explain the fluid flow through a porous medium. For high velocity, fluid flow resulted in the deviation from Darcy’s law, this is due to the inertia effect. Forchheimer [30] added ‘square velocity factor’ to the Darcian velocity in the conservative mathematical expression of flow, and named the flow as Darcy–Forchheimer (DF) flow. Hayat et al. [31] discussed the DF flow of CNTs-based nanofluid along a turning disk using the Xue’s model of thermal conductivity. Later, Asma et al. [32] expanded the study of Hayat et al. [24], accounting for the effects of activation energy and convective conditions (both heat and mass) on heat and mass transfer flow. Nayak et al. [33] analyzed the convective Darcy–Forchheimer flow of copper-water nanofluid over a rotating disk under the impact of quadratic thermal radiation. The process of heat transfer subjected to heat flux via Cattaneo–Christov model and effective thermal conductivity of working fluid is computed by Koo–Kleinstreuer model. Ullah et al. [34] evaluated the aftermath of slip mechanisms on Darcy–Forchheimer flow past a turning disk considering uniform heat sink/source. Recently, Khan [35] evaluated the Darcy–Forchheimer flow of HNF (Al2O3 + Cu/water) along a stretchable rotating disk using slip effects (velocities and temperature).
Regression analysis on MHD Darcy-Forchheimer hybrid nanoliquid flow over an elongated permeable sheet in a porous medium with hydrodynamic slip constraint: a realistic two-phase modified Buongiorno model
Published in Waves in Random and Complex Media, 2022
A.S. Sabu, Sujesh Areekara, Alphonsa Mathew
A surface that allows easy fluid penetration through them is called a permeable surface. Amplification in the hybrid nanoliquid temperature due to injection effect was reported by Acharya et al. [25]. Nadeem et al. [26] noticed an elevated boundary layer thickness in the presence of injection effect and a reversed trend due to the suction effect. Darcy’s law corresponds to an equation that explains the capability of a fluid to flow via a porous medium. Darcy-Forchheimer flow is a fluid flow through a porous medium satisfying the Darcy-Forchheimer relation that subsumes inertial properties and boundary characteristics. The Darcy-Forchheimer nanoliquid liquid flow due to a curved lengthening sheet has been numerically examined by Hayat et al. [27]. They noted a decline in the velocity profile for mounting values of the Forchheimer number. Alzahrani et al. [28] elucidated the significance of Darcy-Forchheimer hybrid nanoliquid flow over an inclined solar collector plate. Studies discussing the three-dimensional Darcy-Forchheimer flow over a lengthening sheet can be seen in [29–34].