scholarly journals Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1852
Author(s):  
Hameed Ullah ◽  
Dianchen Lu ◽  
Abdul Majeed Siddiqui ◽  
Tahira Haroon ◽  
Khadija Maqbool
Keyword(s):  
Fluid Flow ◽  
Physical Phenomenon ◽  
Fluid Velocity ◽  
Axial Flow ◽  
Maximum Velocity ◽  
Maxwell Fluid ◽  
Two Dimensional ◽  
Mathematical Basis ◽  
Analytical Technique ◽  
The Impact

The present theoretical study investigates the influence of velocity slip characteristics on the plane steady two-dimensional incompressible creeping Maxwell fluid flow passing through a porous slit with uniform reabsorption. This two-dimensional flow phenomenon is governed by the mathematical model having nonlinear partial differential equations together with non-homogeneous boundary conditions. An analytical technique, namely the recursive approach, is used successfully to find the solutions of the problem. The explicit expressions for stream function, velocity components, pressure distribution, wall shear stress and normal stress difference have been derived. The axial flow rate, leakage flux and fractional reabsorption are also found out. The points of maximum velocity are identified. Non-dimensionalization is carried out and graphs are portrayed at different positions of the channel to show the impact of pertinent parameters: slip parameter, Maxwell fluid parameter and absorption parameter, on flow variables and found that the fluid velocity is affected significantly due to these parameters. This study provides a mathematical basis to understand the physical phenomenon for fluid flows through permeable boundaries which exists in different problems like gaseous diffusion, filtration and biological mechanisms.

Approximate and Analytic Solutions for Deformation of Finite Porous Filters

1997 ◽  
Vol 64 (4) ◽  
pp. 929-934 ◽  
Author(s):  
S. I. Barry ◽  
G. N. Mercer ◽  
C. Zoppou
Keyword(s):  
Fluid Flow ◽  
Steady State ◽  
Porous Material ◽  
Deformation Behavior ◽  
Fluid Velocity ◽  
Approximate Solutions ◽  
Analytic Solutions ◽  
Two Dimensional ◽  
Solid Stress ◽  
Side Walls

The deformation, using linear poroelasticity, of a two-dimensional box of porous material due to fluid flow from a line source is considered as a model of certain filtration processes. Analytical solutions for the steady-state displacement, pressure, and fluid velocity are derived when the side walls of the filter have zero solid stress. A numerical solution for the case where the porous material adheres to the side walls is also found. It will be shown, however, that simpler approximate solutions can be derived which predict the majority of the deformation behavior of the filter.

The Effect of Permeability Variations on the Flow in a Heterogeneous Porous Channel Subject to Rotation

1999 ◽  
Vol 121 (3) ◽  
pp. 568-573 ◽  
Author(s):  
Peter Vadasz ◽  
Mark A. Havstad
Keyword(s):  
Fluid Flow ◽  
Cross Section ◽  
Three Dimensional ◽  
Axial Flow ◽  
Vertical Gradient ◽  
Porous Channel ◽  
Governing Equations ◽  
Permeability Function ◽  
Vortex Solutions ◽  
The Impact

A significant effect of permeability variations on the three-dimensional fluid flow in a heterogeneous porous channel subject to rotation is presented. The results of a numerical solution to the governing equations confirm for the more general case the conclusions from earlier analytical investigations, which suggest that permeability functions be classified corresponding to whether their variation is monotonic or not, and to whether their vertical gradient is positive or not. Unicellular and multiple vortex solutions are obtained for the secondary flow in the plane perpendicular to the imposed axial flow, while their direction is dictated by the corresponding class of permeability function as applicable. The impact of rotation on the imposed axial flow is shown to be significant as well, leading to different axial flow fields depending again on the class of permeability function used. In particular, the rotation impacts significantly in creating axial flow deficiencies in some regions on the cross section.

Computational framework for discontinuity network characterization

2020 ◽  
Author(s):  
Thomas Poulet ◽  
Ulrich Kelka ◽  
Stefan Westerlund ◽  
Luk Peeters
Keyword(s):  
Fluid Flow ◽  
Large Scale ◽  
Spatial Arrangement ◽  
Data Sets ◽  
Two Dimensional ◽  
Fracture Networks ◽  
Underlying Distribution ◽  
Network Characterization ◽  
Discontinuity Network ◽  
The Impact

<p>The topological and geometrical description of fault and fracture networks is an essential first step in any investigation of fractured or faulted media. The spatial arrangement, density, connectivity, and geometry of the discontinuities strongly impact the physical properties of the media such as resilience and permeability. Obtaining reliable metrics for characterizing fault and fracture networks is of interest for mining engineering, reservoir characterization, groundwater management, and studies on the regional fluid flow history. During large-scale studies, we mostly rely on two-dimensional lineaments obtained through structural mapping, outcrop analysis, or remote sensing. An efficient and widely applicable framework for discontinuity network characterization should therefore be based on the analysis of the frequently available two-dimensional data sets.</p><p>Here, we present an automated framework for efficient and robust characterization of the geometric and topologic parameters of discontinuity networks. The geometry of the lineaments is characterised based on orientation, length, and sinuosity. The underlying distribution of these parameters are determined, and representative probability density functions are reported. The connection between the geometric parameters is validated, e.g. correlation between orientation and length. The spatial arrangement is determined by classical line- and window-sampling, by assessing the fractal dimension, and via graph-based topology analysis.</p><p>In addition to the statistical analysis of lineament networks, we show how the graph data structure can be utilized for further characterization by linking it to raster data such as magnetic, gravimetric, or elevation. This procedure not only yields an additional means for lineament characterization but also allows users to assess dominant pathways based, for instance, on hydraulic gradients. We demonstrate the applicability of our algorithm on synthetic data sets and real-world case studies on mapped fault and fracture networks.</p><p>We finally show how our framework can also be utilized to design detailed numerical studies on the fluid flow properties of analysed networks by conditioning mesh refinement on the type and number of intersections. In addition, due to known scaling relationships our framework can help to determine appropriate parameters for the simulations. We provide examples of statistically parametrized fluid flow simulations in natural discontinuity networks and show the impact of conceptualizing the lineaments as conduits, barriers or conduit-barrier systems.</p>

scholarly journals Fluid-Structure Interaction in a 3-by-3 Reduced-Scale Fuel Assembly Network

2010 ◽  
Vol 2010 ◽  
pp. 1-8 ◽  
Author(s):  
Guillaume Ricciardi ◽  
Sergio Bellizzi ◽  
Bruno Collard ◽  
Bruno Cochelin
Keyword(s):  
Fluid Flow ◽  
Fuel Assembly ◽  
Transverse Direction ◽  
Fluid Velocity ◽  
Axial Flow ◽  
Experimental Results ◽  
Structure Interaction ◽  
Fluid Forces ◽  
Fuel Assemblies ◽  
Reduced Scale

We present experimental results on 9 reduced-scale fuel assemblies arranged in a network of 3 by 3, subjected to an axial flow. The objective is to analyse the fluid force induced by the motion of the central fuel assembly on the others fuel assemblies. The displacement of the central fuel assembly is imposed, while the others are fixed. Fluid forces acting on fuel assemblies are measured with force sensors. We observed that the coupling between fuel assemblies increases with the fluid velocity, and that the coupling in the transverse direction is not negligible compared to the coupling in the direction of excitation. We also observe that the fluid flow induces a stiffening of the central fuel assembly.

SPH-Based Numerical Modeling of Fluid Flow Interaction with Various Shapes of Breakwater

2019 ◽  
Author(s):  
Rezaldy Naufal Saleh ◽  
Dede Tarwidi ◽  
Jondri
Keyword(s):  
Numerical Modeling ◽  
Fluid Flow ◽  
Coastal Erosion ◽  
Fluid Velocity ◽  
Fluid Motion ◽  
Three Dimensional ◽  
Maximum Velocity ◽  
Sph Method ◽  
Flow Interaction ◽  
Scale Down

Various efforts have been made to prevent coastal erosion. One of the efforts to prevent coastal erosion is to build breakwaters. This paper presents numerical modeling of fluid flow interaction with various shapes of breakwater. Fluid flow impact on different shapes of breakwater, i.e. trapezoidal prism, cylinder, and sphere has been investigated. The three-dimensional numerical modeling is purposed to decisive which breakwaters shape that can reduce the fluid velocity rapidly, compared to other tested breakwaters shapes. In this study, fluid motion is generated by dam break scheme. The fluid motion is governed by momentum and continuity equation. The equations of fluid motion are resolved by smoothed particle hydrodynamics (SPH) method. DualSPHysics, an open-source code based on SPH method, is applied to simulate fluid motion and the interaction with the blocks of breakwater. According to numerical results, the trapezoidal prism shape of breakwater can scale down the fluid velocity faster than the cylinder and sphere shape of breakwater with maximum velocity is about 2.20 m/s. Further, the cylinder shape yields the highest fluid velocity around the breakwater. The trapezoidal prism shape can be used as an effective breakwater.

scholarly journals Evaluation of equivalent hydraulic aperture (EHA) for rough rock fractures

2019 ◽  
Vol 56 (10) ◽  
pp. 1486-1501 ◽  
Author(s):  
Fei Xiao ◽  
Zhiye Zhao
Keyword(s):  
Fluid Flow ◽  
Rock Fracture ◽  
Fluid Velocity ◽  
Surrogate Models ◽  
Rock Fractures ◽  
Parallel Plates ◽  
Characteristic Parameters ◽  
Fracture Roughness ◽  
Hydraulic Aperture ◽  
The Impact

Most existing models for fluid transportation within a single rock fracture tend to use a channel with two smooth parallel plates, whereas real fracture surfaces are usually rough and tortuous, which can produce a flow field significantly different from the smooth plate model. For fluid flow in a rough fracture, there are surface concave areas (SCA), where the fluid velocity is extremely low, contributing little to the fluid transportation. It is of great significance to quantitatively evaluate the impact of rough surfaces on fluid flow. Therefore, a numerical model for simulating Newtonian fluid through rough fractures is proposed, where synthetic surfaces are generated according to statistical analysis of natural rock fractures and can be quantified by several characteristic parameters. Equivalent hydraulic aperture (EHA) is proposed as one quantitative indicator for evaluating the impact of fracture roughness. Systematic studies were conducted for evaluating EHAs of rough fractures, which, combined with characteristic parameters of fractures, are used to build surrogate models for EHA prediction. It is found that the EHA is directly correlated with the fracture roughness, the mean mechanical aperture, and the standard deviation of aperture distribution. The developed surrogate models were verified to have a high accuracy for EHA prediction.

scholarly journals Nanoscale structural characterization of plasmon-driven reactions

Nanophotonics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Zhandong Li ◽  
Dmitry Kurouski
Keyword(s):  
Raman Scattering ◽  
Single Molecule ◽  
Physical Phenomenon ◽  
Localized Surface Plasmon ◽  
Metal Nanostructures ◽  
Chemical Transformations ◽  
Analytical Technique ◽  
Tip Enhanced Raman Spectroscopy ◽  
The Impact

Abstract Illumination of noble metal nanostructures by electromagnetic radiation induces coherent oscillations of conductive electrons on their surfaces. These coherent oscillations of electrons, also known as localized surface plasmon resonances (LSPR), are the underlying physical cause of the electromagnetic enhancement of Raman scattering from analytes located in a close proximity to the metal surface. This physical phenomenon is broadly known as surface-enhanced Raman scattering (SERS). LSPR can decay via direct interband, phonon-assisted intraband, and geometry-assisted transitions forming hot carriers, highly energetic species that are responsible for a large variety of chemical transformations. This review critically discusses the most recent progress in mechanistic elucidation of hot carrier-driven chemistry and catalytic processes at the nanoscale. The review provides a brief description of tip-enhanced Raman spectroscopy (TERS), modern analytical technique that possesses single-molecule sensitivity and angstrom spatial resolution, showing the advantage of this technique for spatiotemporal characterization of plasmon-driven reactions. The review also discusses experimental and theoretical findings that reported novel plasmon-driven reactivity which can be used to catalyze redox, coupling, elimination and scissoring reactions. Lastly, the review discusses the impact of the most recently reported findings on both plasmonic catalysis and TERS imaging.

scholarly journals MHD Casson non-Newtonian nanofluid over a nonlinear penetrable elongated sheet with thermal radiation and chemical reaction

2021 ◽  
Vol 58 (1) ◽  
pp. 1776-1786
Author(s):  
Seethamahalakshmi VYAKARANAM, Venkata Ramana Reddy GURRAMPATI, Y Hari Krishna
Keyword(s):  
Chemical Reaction ◽  
Rheological Model ◽  
Flow Model ◽  
Fluid Velocity ◽  
Newtonian Liquid ◽  
Two Dimensional ◽  
Flow Equations ◽  
Flow Parameters ◽  
Total Differential ◽  
The Impact

Consider a steady flow in two-dimensional of a viscous, incompressible Casson nano liquid over a nonlinear penetrable elongated sheet with radiation and chemical reaction. The Casson liquid rheological model is used to explain the non-Newtonian liquid attributes. Similarity variables are utilized to evaluate the governing flow model into set of nonlinear total differential equations. The outcomes of the flow equations were gotten by using Runge-Kutta alongside the shooting techniques. In other to explain the physics of the problem, impact of flow parameters are presented in graphs while computations on engineering curiosity are presented in table. Ahike in the Casson liquid term is observed to degenerate the fluid velocity alongside the momentum layer thickness. The impact of the imposed magnetic is felt by decreasing the velocity owning to the Lorentz force.  

scholarly journals The Solutions of Non-Integer Order Burgers’ Fluid Flowing through a Round Channel with Semi Analytical Technique

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 962 ◽  
Author(s):  
M. Imran ◽  
D.L.C. Ching ◽  
Rabia Safdar ◽  
Ilyas Khan ◽  
M. Imran ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Fluid Flow ◽  
Laplace Transformation ◽  
Inverse Laplace Transform ◽  
Rotational Flow ◽  
Analytical Technique ◽  
Burgers Fluid ◽  
Stehfest’S Algorithm ◽  
The Impact ◽  
Round Channel

The solutions for velocity and stress are derived by using the methods of Laplace transformation and Modified Bessel’s equation for the rotational flow of Burgers’ fluid flowing through an unbounded round channel. Initially, supposed that the fluid is not moving with t = 0 and afterward fluid flow is because of the circular motion of the around channel with velocity Ω R t p with time positively grater than zero. At the point of complicated expressions of results, the inverse Laplace transform is alternately calculated by “Stehfest’s algorithm” and “MATHCAD” numerically. The numerically obtained solutions in the terms of the Modified Bessel’s equations of first and second kind, are satisfying all the imposed conditions of given mathematical model. The impact of the various physical and fractional parameters are also indeed and so presented by graphical demonstrations.

scholarly journals Semi-analytical technique for the solution of fractional Maxwell fluid

2017 ◽  
Vol 95 (5) ◽  
pp. 472-478 ◽  
Author(s):  
M. Abdullah ◽  
Asma Rashid Butt ◽  
Nauman Raza ◽  
Ehsan Ul Haque
Keyword(s):  
Circular Cylinder ◽  
Fractional Derivatives ◽  
Bessel Functions ◽  
Maxwell Fluid ◽  
Inverse Transformation ◽  
Physical Parameters ◽  
Time Dynamic ◽  
Analytical Technique ◽  
In Series ◽  
The Impact

In this work, the flow of a fractional Maxwell fluid is discussed. The velocity function and time-dependent shear stress of a Maxwell fluid with fractional derivatives are calculated. It is considered that the fluid in the infinitely long circular cylinder is moving with a velocity ft. The fluid in the infinitely long circular cylinder of radius R is initially at rest and at t = 0+, because of shear, it instantly starts to move longitudinally. To obtain the solutions, we have employed Laplace transformation and modified Bessel equation. The solutions are in series form, which are expressed in terms of modified Bessel functions [Formula: see text] and [Formula: see text], and satisfy all given conditions. In this paper, Laplace inverse transformation has been calculated numerically by using MATLAB. The behavior of the following physical parameters on the flow are investigated: relaxation time, dynamic viscosity, kinematics viscosity, similarity parameters of fractional derivatives and radius of the circular cylinder. Finally, the impact of the fractional parameter and material elements is shown by graphical demonstration.

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