On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium

In this paper, we are concerned with the existence of the maximum and minimum iterative solutions for a tempered fractional turbulent flow model in a porous medium with nonlocal boundary conditions. By introducing a new growth condition and developing an iterative technique, we establish new results on the existence of the maximum and minimum solutions for the considered equation; at the same time, the iterative sequences for approximating the extremal solutions are performed, and the asymptotic estimates of solutions are also derived.

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Algebraic Solution of the Horton-Izzard Turbulent Overland Flow Model of the Rising Hydrograph

Hydrology Research ◽

10.2166/nh.1977.0019 ◽

1977 ◽

Vol 8 (4) ◽

pp. 249-256 ◽

Cited By ~ 2

Author(s):

Mohammad Akram Gill

Keyword(s):

Differential Equation ◽

Turbulent Flow ◽

Flow Model ◽

Overland Flow ◽

Flow Equation ◽

Algebraic Solution ◽

Mixed Flow ◽

Overland Flow Model

In the differential equation of the overland turbulent flow which was first postulated by Horton, Eq.(6), the value of c equals 5/3. For this value of c, the flow equation could not be integrated algebraically. Horton solved the equation for c = 2 and believed that his solution was valid for mixed flow. The flow equation with c = 5/3 is solved algebraically herein. It is shown elsewhere (Gill 1976) that the flow equation can indeed be integrated for any rational value of c.

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Forced Convection in a Channel Filled With Porous Medium, Including the Effects of Flow Inertia, Variable Porosity, and Brinkman Friction

Journal of Heat Transfer ◽

10.1115/1.3248198 ◽

1987 ◽

Vol 109 (4) ◽

pp. 880-888 ◽

Cited By ~ 121

Author(s):

D. Poulikakos ◽

K. Renken

Keyword(s):

Porous Medium ◽

Forced Convection ◽

Flow Model ◽

Saturated Porous Medium ◽

Porous Matrix ◽

Parallel Plates ◽

Entry Length ◽

Variable Porosity ◽

Flow Inertia ◽

Temperature And Flow Fields

This paper presents a series of numerical simulations which aim to document the problem of forced convection in a channel filled with a fluid-saturated porous medium. In modeling the flow in the channel, the effects of flow inertia, variable porosity and Brinkman friction are taken into account. Two channel configurations are investigated: parallel plates and circular pipe. In both cases, the channel wall is maintained at constant temperature. It is found that the general flow model predicts an overall enhancement in heat transfer between the fluid/porous matrix composite and the walls, compared to the predictions of the widely used Darcy flow model. This enhancement is reflected in the increase of the value of the Nusselt number. Important results documenting the dependence of the temperature and flow fields in the channel as well as the dependence of the thermal entry length on the problem parameters are also reported in the course of the study.

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Intrapleural fluid movements described by a porous flow model

Journal of Applied Physiology ◽

10.1152/jappl.1992.73.6.2511 ◽

1992 ◽

Vol 73 (6) ◽

pp. 2511-2516 ◽

Cited By ~ 11

Author(s):

G. Miserocchi ◽

D. Venturoli ◽

D. Negrini ◽

M. C. Gilardi ◽

R. Bellina

Keyword(s):

Porous Medium ◽

Gamma Camera ◽

Flow Model ◽

Pleural Space ◽

Interstitial Tissue ◽

Hydraulic Pressure ◽

Pressure Gradients ◽

Hydraulic Radius ◽

Porous Flow ◽

Anesthetized Dogs

We injected technetium-labeled albumin (at a concentration similar to that of the pleural fluid) in the costal region of anesthetized dogs (n = 13) either breathing spontaneously or apneic. The decay rate of labeled activity at the injection site was studied with a gamma camera placed either in the anteroposterior (AP) or laterolateral (LL) projection. In breathing animals (respiratory frequency approximately 10 cycles/min), 10 min after the injection the activity decreased by approximately 50% on AP and approximately 20% on LL imaging; in apneic animals the corresponding decrease in activity was reduced to approximately 15 and approximately 3%, respectively. We considered label translocation from AP and LL imaging as a result of bulk flows of liquid along the costomediastinal and gravity-dependent direction, respectively. We related intrapleural flows to the hydraulic pressure gradients existing along these two directions and to the geometry of the pleural space. The pleural space was considered as a porous medium partially occupied by the mesh of microvilli protruding from mesothelial cells. Solution of the Kozeny-Carman equation for the observed flow velocities and pressure gradients yielded a mean hydraulic radius of the pathways followed by the liquid ranging from 2 to 4 microns. The hydraulic resistivity of the pleural space was estimated at approximately 8.5 x 10(5) dyn.s.cm-4, five orders of magnitude lower than that of interstitial tissue.

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INTERACTION OF PULSATILE FLOW ON THE PERISTALTIC MOTION OF A MAGNETO-MICROPOLAR FLUID THROUGH POROUS MEDIUM IN A FLEXIBLE CHANNEL: BLOOD FLOW MODEL

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v94i3.3 ◽

2014 ◽

Vol 94 (3) ◽

Cited By ~ 1

Author(s):

Kh.S. Mekheimer ◽

M.S. Mohamed

Keyword(s):

Porous Medium ◽

Blood Flow ◽

Pulsatile Flow ◽

Micropolar Fluid ◽

Flow Model ◽

Peristaltic Motion ◽

Blood Flow Model

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Research of Flow Field and Temperature Field in 2D Annular Space of Air-Gap

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.214.76 ◽

2012 ◽

Vol 214 ◽

pp. 76-81

Author(s):

Lu Tang ◽

Yi Ping Lu ◽

Hai Yan Deng ◽

Zuo Min Wang

Keyword(s):

Temperature Field ◽

Boundary Conditions ◽

Turbulent Flow ◽

Flow Model ◽

Radiation Heat Transfer ◽

Air Gap ◽

Rotating Flow ◽

Annular Space ◽

Concentric Cylinder ◽

Turbo Generator

The flow in air-gap of turbo-generator was simplified to the rotating flow model in the 2D concentric cylinder annular space. According to the CFD principle, the rotating flow model equations of the laminar flow and the turbulent flow were solved with Finite Volume Method. After being compared with the analytical solution of the 2D concentric cylinder Couette shear flow, the 2D air-gap model, the boundary conditions and the calculation results were proved to be accurate. On the basis of the study of the velocity field, the energy equation and the radiation equation were added to study the temperature field in the annular space. The convection and the radiation heat transfer were considered under the first boundary conditions. The turbulent flow and temperature distribution of the annular space under the steady-state were analyzed

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One-Dimensional Fully Developed Turbulent Flow through Coarse Porous Medium

Journal of Hydrologic Engineering ◽

10.1061/(asce)he.1943-5584.0000937 ◽

2014 ◽

Vol 19 (7) ◽

pp. 1491-1496 ◽

Cited By ~ 5

Author(s):

Mohammad Sedghi-Asl ◽

Hassan Rahimi ◽

Javad Farhoudi ◽

Abdolhossein Hoorfar ◽

Sven Hartmann

Keyword(s):

Porous Medium ◽

Turbulent Flow ◽

One Dimensional ◽

Fully Developed Turbulent Flow ◽

Flow Through

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A Semi-Analytical Model for Predicting Horizontal Well Performances in Fractured Gas Reservoirs With Bottom-Water and Different Fracture Intensities

Journal of Energy Resources Technology ◽

10.1115/1.4040201 ◽

2018 ◽

Vol 140 (10) ◽

Cited By ~ 15

Author(s):

Yongsheng Tan ◽

Haitao Li ◽

Xiang Zhou ◽

Beibei Jiang ◽

Yongqing Wang ◽

...

Keyword(s):

Porous Medium ◽

Horizontal Well ◽

Bottom Water ◽

Flow Model ◽

Numerical Solutions ◽

Gas Reservoirs ◽

Gas Reservoir ◽

New Model ◽

Well Completion ◽

Wellbore Pressure

Numerical simulation and prediction studies on horizontal well performances in gas reservoir are foundation for optimizing horizontal well completion process. To gain more understanding on this theory, a steady-state reservoir model coupling with wellbore is developed in the fractured gas reservoirs with bottom-water and different fracture intensities to predict the horizontal well performances. Based on the equivalent flow assumption, the fractured porous medium is transformed into anisotropic porous medium so that the gas reservoir flow model can be developed as a new model that incorporates formation permeability heterogeneity, reservoir anisotropy, and gas reservoir damage. The wellbore flow model which considers pressure drops in the tubing is applied. We compare this paper model solutions for inflow profile along the well to the numerical solutions obtained from a commercial simulator (ECLIPSE 2011), and the result shows a very good agreement. Moreover, sensitive analysis, in terms of various linear densities of fractures, matrix permeability, fracture width, and wellbore pressure drop, is implemented. The results show that the new model developed in this study can obtain a more practical representation to simulate the horizontal wells performance in fractured gas reservoir with different fracture intensities and bottom-water, thus can be used to optimize the parameters in horizontal well completion of fractured gas reservoirs with different fracture intensities and bottom-water.

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