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152767

Non-Newtonian Drag Reducing Fluid Flow in a Circular Pipe Filled with Porous Medium in the Non-Darcian Effects.

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Last updated: 04 Jan 2025

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Tags

Mechanical Power Engineering

Abstract

This work presents an analysis of a non-Newtonian drag reducing fluid (dilute polymer solutions) in a circular pipe filled with porous media. The flow   is developed by modifying the momentum equation for the flow in porous media to account for the elougational viscosity of drag reducing fluids. The modified Darcy-Forschheimer-Brinkman's equation is solved using the finite difference method. The results are obtained for flow Reynolds number up to 105, a non-Newtonian drag parameter range of 0≤ up < /strong>≤5000, and nondimensional pressure gradient B up to 1010. The results show that the non-Newtonian effect of drag reducing fluids have a significant influence on the velocity and signifies relative increase in the maguitude of the velocity in the region adjacent to the wall which in turns signifies the channeling effect. This phenomena is reflected in the great influence on the fluid flow characteristics such as the boundary frictional drag, the elongational viscous drag, and in turns in the total drag. Important results documenting and analyzing the behavior of the velocity and the fluid flow characteristics and its dependence on the non-Newtonian drag parameter are also reported in the course of the study. An experimental investigation was carried out for the flow of water and a dilute polymer solutions with concentrations C = 1, 5, 20, 50 and 100 wppm of the polyacryiamide in a circular rube of 20mm diameter filled with 3.2 mm diameter stainless-steel spheres. Comparison of the numerical results with the experimental results show good agreement of the presented results and prove the validity of the model.

DOI

10.21608/bfemu.2021.152767

Authors

First Name

M.

Last Name

El-Kady

MiddleName

S.

Affiliation

Mechanical Power Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

mselkady@mum.mans.eun.eg

City

Mansoura

Orcid

-

First Name

M.

Last Name

Tolba

MiddleName

A.

Affiliation

Mechanical Power Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

First Name

L.

Last Name

Rabie

MiddleName

H.

Affiliation

Mechanical Power Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

Volume

21

Article Issue

3

Related Issue

22286

Issue Date

1996-09-01

Receive Date

1996-05-10

Publish Date

2021-09-01

Page Start

23

Page End

41

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 21_Issue 3_Pages 23-41.pdf

PDF . 2.9MB

Link

https://bfemu.journals.ekb.eg/article_152767.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=152767

Order

4

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Non-Newtonian Drag Reducing Fluid Flow in a Circular Pipe Filled with Porous Medium in the Non-Darcian Effects.

Details

Type

Article

Created At

22 Jan 2023