# Opposing flow in square porous annulus: Influence of Dufour effect

## Abstract

Heat and mass transfer in porous medium is very important area of research which is also termed as double diffusive convection or thermo-solutal convection. The buoyancy ratio which is the ratio of thermal to concentration buoyancy can have negative values thus leading to opposing flow. This article is aimed to study the influence of Dufour effect on the opposing flow in a square porous annulus. The partial differential equations that govern the heat and mass transfer behavior inside porous medium are solved using finite element method. A three node triangular element is used to divide the porous domain into smaller elements. Results are presented with respect to geometric and physical parameters such as duct diameter ratio, Rayleigh number, radiation parameter etc. It is found that the heat transfer increase with increase in Rayleigh number and radiation parameter. It is observed that Dufour coefficient has more influence on velocity profile.

- Authors:

- Dept. of Mechanical Engineering, Anjuman Institute of Technology & Management, Bhatkal (India)
- Dept. of Automotive and Marine Engineering Technology, College of Technological Studies, The Public Authority for Applied Education and Training (Kuwait)
- Dept of Mechanical Engineering, Faculty of Engineering, Islamic University, Madinah Munawwarra (Saudi Arabia)

- Publication Date:

- OSTI Identifier:
- 22609139

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1751; Journal Issue: 1; Conference: National seminar on advances in mathematical sciences 2015, Assam (India), 22 Dec 2015; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CONCENTRATION RATIO; CONVECTION; FINITE ELEMENT METHOD; HEAT; HEAT TRANSFER; MASS TRANSFER; PARTIAL DIFFERENTIAL EQUATIONS; POROUS MATERIALS; RAYLEIGH NUMBER; VELOCITY

### Citation Formats

```
Athani, Abdulgaphur, E-mail: abbu.bec@gmail.com, Al-Rashed, Abdullah A. A. A., E-mail: aa.alrashed@paaet.edu.kw, and Khaleed, H. M. T., E-mail: khalid-tan@yahoo.com.
```*Opposing flow in square porous annulus: Influence of Dufour effect*. United States: N. p., 2016.
Web. doi:10.1063/1.4954867.

```
Athani, Abdulgaphur, E-mail: abbu.bec@gmail.com, Al-Rashed, Abdullah A. A. A., E-mail: aa.alrashed@paaet.edu.kw, & Khaleed, H. M. T., E-mail: khalid-tan@yahoo.com.
```*Opposing flow in square porous annulus: Influence of Dufour effect*. United States. doi:10.1063/1.4954867.

```
Athani, Abdulgaphur, E-mail: abbu.bec@gmail.com, Al-Rashed, Abdullah A. A. A., E-mail: aa.alrashed@paaet.edu.kw, and Khaleed, H. M. T., E-mail: khalid-tan@yahoo.com. Tue .
"Opposing flow in square porous annulus: Influence of Dufour effect". United States.
doi:10.1063/1.4954867.
```

```
@article{osti_22609139,
```

title = {Opposing flow in square porous annulus: Influence of Dufour effect},

author = {Athani, Abdulgaphur, E-mail: abbu.bec@gmail.com and Al-Rashed, Abdullah A. A. A., E-mail: aa.alrashed@paaet.edu.kw and Khaleed, H. M. T., E-mail: khalid-tan@yahoo.com},

abstractNote = {Heat and mass transfer in porous medium is very important area of research which is also termed as double diffusive convection or thermo-solutal convection. The buoyancy ratio which is the ratio of thermal to concentration buoyancy can have negative values thus leading to opposing flow. This article is aimed to study the influence of Dufour effect on the opposing flow in a square porous annulus. The partial differential equations that govern the heat and mass transfer behavior inside porous medium are solved using finite element method. A three node triangular element is used to divide the porous domain into smaller elements. Results are presented with respect to geometric and physical parameters such as duct diameter ratio, Rayleigh number, radiation parameter etc. It is found that the heat transfer increase with increase in Rayleigh number and radiation parameter. It is observed that Dufour coefficient has more influence on velocity profile.},

doi = {10.1063/1.4954867},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1751,

place = {United States},

year = {Tue Jun 21 00:00:00 EDT 2016},

month = {Tue Jun 21 00:00:00 EDT 2016}

}