scholarly journals Seepage Characteristics Study on Power-Law Fluid in Fractal Porous Media

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Meijuan Yun
Keyword(s):  
Porous Media ◽  
Power Law ◽  
Quantitative Description ◽  
Flow In Porous Media ◽  
Power Law Fluid ◽  
Related Data ◽  
Fractal Models ◽  
Fractal Properties ◽  
Seepage Characteristics ◽  
Analytical Expressions

We present fractal models for the flow rate, velocity, effective viscosity, apparent viscosity, and effective permeability for power-law fluid based on the fractal properties of porous media. The proposed expressions realize the quantitative description to the relation between the properties of the power-law fluid and the parameters of the microstructure of the porous media. The model predictions are compared with related data and good agreement between them is found. The analytical expressions will contribute to the revealing of physical principles for the power-law fluid flow in porous media.

Stability of natural convection of power-law fluid and non-Darcy flow in porous media

2001 ◽  
Vol 10 (1) ◽  
pp. 74-78 ◽  
Author(s):  
Xiangyan Kong ◽  
Guoquan Chen ◽  
Jianbing Wu ◽  
Peichao Li ◽  
Detang Lu ◽  
...  
Keyword(s):  
Porous Media ◽  
Natural Convection ◽  
Power Law ◽  
Darcy Flow ◽  
Flow In Porous Media ◽  
Power Law Fluid

Analysis of transient flow and starting pressure gradient of power-law fluid in fractal porous media

2015 ◽  
Vol 26 (04) ◽  
pp. 1550045 ◽  
Author(s):  
Xiao-Hua Tan ◽  
Xiao-Ping Li ◽  
Lie-Hui Zhang ◽  
Jian-Yi Liu ◽  
Jianchao Cai
Keyword(s):  
Porous Media ◽  
Fractal Dimension ◽  
Pressure Gradient ◽  
Power Law ◽  
Transient Flow ◽  
Power Law Fluid ◽  
Fractal Properties ◽  
Pressure Changes ◽  
Power Law Index ◽  
Starting Pressure Gradient

A transient flow model for power-law fluid in fractal porous media is derived by combining transient flow theory with the fractal properties of tortuous capillaries. Pressure changes of transient flow for power-law fluid in fractal porous media are related to pore fractal dimension, tortuosity fractal dimension and the power-law index. Additionally, the starting pressure gradient model of power-law fluid in fractal porous media is established. Good agreement between the predictions of the present model and that of the traditional empirical model is obtained, the sensitive parameters that influence the starting pressure gradient are specified and their effects on the starting pressure gradient are discussed.

FRACTAL ANALYSIS OF HYDRAULICS IN POROUS MEDIA WITH WALL EFFECTS

Fractals ◽  
2014 ◽  
Vol 22 (03) ◽  
pp. 1440001 ◽  
Author(s):  
MINGCHAO LIANG ◽  
BOMING YU ◽  
SHANSHAN YANG ◽  
MINGQING ZOU ◽  
LONG YAO
Keyword(s):  
Porous Media ◽  
Power Law ◽  
Fractal Theory ◽  
Analytical Models ◽  
Wall Effects ◽  
Average Mass ◽  
Fractal Models ◽  
Power Law Fluids ◽  
Power Law Index ◽  
Analytical Expressions

The analytical expressions for the normalized average mass flux and pressure drop for power law fluids for wall effects in porous media are presented by using the fractal theory and technique for porous media. The proposed models are expressed as functions of power law index and structure parameters. These model predictions show that the proposed models can provide a good agreement with the experimental and other analytical results. This indicates that the fractal models may be helpful to much better understand the mechanisms of flow than other analytical models for porous media.

Internal Heat Transfer to Power-Law Fluid Flows Through Porous Media

2000 ◽  
Author(s):  
B. K. Rao ◽  
J. P. McDevitt ◽  
D. L. Vetter
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Power Law ◽  
Polymer Concentration ◽  
Internal Heat ◽  
Fluid Flows ◽  
Vertical Tube ◽  
Uniform Heat Flux ◽  
Power Law Fluid ◽  
Power Law Fluids

Abstract Heat transfer and pressure drop were measured for flow of aqueous solutions of Carbopol 934 through a vertical tube filled with porous media. The heated stainless steel test section has an inside diameter of 2.25 cm, and is 200 diameters long. The porosity was varied from 0.32 to 0.68 by using uniform spherical glass beads. Uniform heat flux thermal boundary condition was imposed bypassing direct electric current through the tube wall. Over a range of the parameters: 45 < Rea < 7,000, 21 < Pra < 58, 0.62<n (power-law exponent)<0.80, 0.22 < d/D < 0.6, and the polymer concentration from 250 to 500 parts per million, the friction factor data for power-law fluids agreed with the Newtonian predictions. Heat transfer to power-law fluids increases with increasing Rea and Prw and decreasing porosity. A new correlation was proposed for predicting heat transfer to power-law fluid flows through confined porous media.

A model for transient flow in porous media embedded with randomly distributed tree-shaped fractal networks

2015 ◽  
Vol 29 (19) ◽  
pp. 1550135 ◽  
Author(s):  
Xiao-Hua Tan ◽  
Xiao-Ping Li ◽  
Jian-Yi Liu ◽  
Lie-Hui Zhang ◽  
Jianchao Cai
Keyword(s):  
Porous Media ◽  
Transient Flow ◽  
Heterogeneous Porous Media ◽  
Flow In Porous Media ◽  
Inversion Method ◽  
Type Curves ◽  
Fractal Properties ◽  
Proposed Model ◽  
The Laplace Transform ◽  
Fractal Characteristics

A model for transient flow in porous media embedded with randomly distributed tree-shaped fractal networks was presented based on the fractal properties of tree-shaped capillaries and generalized Darcy's law. The dimensionless expression of flowing pressure was developed using the Laplace transform and Stehfest numerical inversion method. The bilogarithmic type curves were illustrated and the influences of different fractal factors on dimensionless flowing pressure were also discussed. The presented study indicated that the fractal characteristics for the tree-shaped fractal networks should be considered in analysis of transient flow in the heterogeneous porous media. The proposed model may be conducible to a better understanding of the mechanism for transient flow in the multi-porosity porous media.

scholarly journals A Pressure Transient Model for Power-Law Fluids in Porous Media Embedded with a Tree-Shaped Fractal Network

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Xiao-Hua Tan ◽  
Jian-Yi Liu ◽  
Jia-Hui Zhao ◽  
Xiao-Ping Li ◽  
Guang-Dong Zhang ◽  
...  
Keyword(s):  
Porous Media ◽  
Power Law ◽  
Inversion Method ◽  
Transient Model ◽  
Pressure Transient ◽  
Type Curves ◽  
Fractal Properties ◽  
Power Law Fluids ◽  
The Laplace Transform ◽  
Fractal Network

This work studies the pressure transient of power-law fluids in porous media embedded with a tree-shaped fractal network. A pressure transient model was created based on the fractal properties of tree-shaped capillaries, generalized Darcy’s law and constitutive equation for power-law fluids. The dimensionless pressure model was developed using the Laplace transform and Stehfest numerical inversion method. According to the model’s solution, the bi-logarithmic type curves of power-law fluids in porous media embedded with a tree-shaped fractal network are illustrated. The influences of different fractal factors and Power-law fluids parameters on pressure transient responses are discussed.

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