A note on the Darcy-Forchheimer-Brinkman equation for fully developed flowthrough a porous channel bounded by flat plates

A. R. Ansari, Abdul M. Siddiqui

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider the fully developed flow through straight porous channels, where the flow entry profiles are Poiseulle- Couette combinations. In particular, we use the Darcy-Forchheimer-Brinkman equation as the model governing the plane parallel flow through the porous medium. In the past, this particular model has been solved using numerical methods due to its nonlinear nature. We present an analytical solution of the problem employing an emerging perturbation technique, which has been proven to be successful in tackling nonlinear problems. We offer various verifications of the solution by comparing to existing, documented results and also mathematically, through reduction to simpler problems.

Original languageEnglish (US)
Pages (from-to)1111-1117
Number of pages7
JournalJournal of Porous Media
Volume13
Issue number12
DOIs
StatePublished - Dec 1 2010

Fingerprint

Brinkman Equation
Darcy Equation
Flat Plate
flat plates
parallel flow
Parallel flow
Perturbation techniques
entry
Porous materials
emerging
Numerical methods
Perturbation Technique
perturbation
Straight
Porous Media
Nonlinear Problem
Analytical Solution
profiles
Numerical Methods
Model

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Biomedical Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{e76818dc4d174ffbab972ef9246f7ab6,
title = "A note on the Darcy-Forchheimer-Brinkman equation for fully developed flowthrough a porous channel bounded by flat plates",
abstract = "We consider the fully developed flow through straight porous channels, where the flow entry profiles are Poiseulle- Couette combinations. In particular, we use the Darcy-Forchheimer-Brinkman equation as the model governing the plane parallel flow through the porous medium. In the past, this particular model has been solved using numerical methods due to its nonlinear nature. We present an analytical solution of the problem employing an emerging perturbation technique, which has been proven to be successful in tackling nonlinear problems. We offer various verifications of the solution by comparing to existing, documented results and also mathematically, through reduction to simpler problems.",
author = "Ansari, {A. R.} and Siddiqui, {Abdul M.}",
year = "2010",
month = "12",
day = "1",
doi = "10.1615/JPorMedia.v13.i12.60",
language = "English (US)",
volume = "13",
pages = "1111--1117",
journal = "Journal of Porous Media",
issn = "1091-028X",
publisher = "Begell House Inc.",
number = "12",

}

A note on the Darcy-Forchheimer-Brinkman equation for fully developed flowthrough a porous channel bounded by flat plates. / Ansari, A. R.; Siddiqui, Abdul M.

In: Journal of Porous Media, Vol. 13, No. 12, 01.12.2010, p. 1111-1117.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A note on the Darcy-Forchheimer-Brinkman equation for fully developed flowthrough a porous channel bounded by flat plates

AU - Ansari, A. R.

AU - Siddiqui, Abdul M.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - We consider the fully developed flow through straight porous channels, where the flow entry profiles are Poiseulle- Couette combinations. In particular, we use the Darcy-Forchheimer-Brinkman equation as the model governing the plane parallel flow through the porous medium. In the past, this particular model has been solved using numerical methods due to its nonlinear nature. We present an analytical solution of the problem employing an emerging perturbation technique, which has been proven to be successful in tackling nonlinear problems. We offer various verifications of the solution by comparing to existing, documented results and also mathematically, through reduction to simpler problems.

AB - We consider the fully developed flow through straight porous channels, where the flow entry profiles are Poiseulle- Couette combinations. In particular, we use the Darcy-Forchheimer-Brinkman equation as the model governing the plane parallel flow through the porous medium. In the past, this particular model has been solved using numerical methods due to its nonlinear nature. We present an analytical solution of the problem employing an emerging perturbation technique, which has been proven to be successful in tackling nonlinear problems. We offer various verifications of the solution by comparing to existing, documented results and also mathematically, through reduction to simpler problems.

UR - http://www.scopus.com/inward/record.url?scp=78650647954&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650647954&partnerID=8YFLogxK

U2 - 10.1615/JPorMedia.v13.i12.60

DO - 10.1615/JPorMedia.v13.i12.60

M3 - Article

AN - SCOPUS:78650647954

VL - 13

SP - 1111

EP - 1117

JO - Journal of Porous Media

JF - Journal of Porous Media

SN - 1091-028X

IS - 12

ER -