# Passive heat transfer augmentation in a cylindrical annulus utilizing a porous perturbation

## Abstract

From a practical point of view, there is an interest in determining the buoyancy-induced fluid flow and heat transfer are analyzed in a horizontal cylindrical annulus in the presence of a porous geometric perturbation. The flow in the porous region is modeled using the Brinkman-Forchheimer-Darcy model. The numerical scheme used in the present study is based on a Galerkin method of the finite element formulation. The nature of the three-dimensional flow field has been analyzed in detail, and the local and average Nusselt numbers have been obtained for a range of Rayleigh numbers of practical interest. In order to evaluate the effect of a porous perturbation, the flow and heat transfer characteristics were compared with those for a regular annulus without a perturbation and one with a solid perturbation. This study reports on the dependence of the flow and heat transfer characteristics on the governing parameters such as the ratio of the conductivity of the porous material to that of the fluid and the permeability. A correlation has been obtained that captures the variations of the overall heat transfer as a function of the Rayleigh number, the permeability, and the conductivity ratio. The results of this study show that bothmore »

- Authors:

- Ohio State Univ., Columbus, OH (United States). Dept. of Mechanical Engineering

- Publication Date:

- OSTI Identifier:
- 687450

- Resource Type:
- Journal Article

- Journal Name:
- Numerical Heat Transfer. Part A, Applications

- Additional Journal Information:
- Journal Volume: 36; Journal Issue: 2; Other Information: PBD: 13 Aug 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; ANNULAR SPACE; POROUS MATERIALS; NATURAL CONVECTION; FLOW MODELS; THREE-DIMENSIONAL CALCULATIONS; CORRELATIONS; AUGMENTATION; CYLINDRICAL CONFIGURATION

### Citation Formats

```
Iyer, S.V., and Vafai, K.
```*Passive heat transfer augmentation in a cylindrical annulus utilizing a porous perturbation*. United States: N. p., 1999.
Web.

```
Iyer, S.V., & Vafai, K.
```*Passive heat transfer augmentation in a cylindrical annulus utilizing a porous perturbation*. United States.

```
Iyer, S.V., and Vafai, K. Fri .
"Passive heat transfer augmentation in a cylindrical annulus utilizing a porous perturbation". United States.
```

```
@article{osti_687450,
```

title = {Passive heat transfer augmentation in a cylindrical annulus utilizing a porous perturbation},

author = {Iyer, S.V. and Vafai, K.},

abstractNote = {From a practical point of view, there is an interest in determining the buoyancy-induced fluid flow and heat transfer are analyzed in a horizontal cylindrical annulus in the presence of a porous geometric perturbation. The flow in the porous region is modeled using the Brinkman-Forchheimer-Darcy model. The numerical scheme used in the present study is based on a Galerkin method of the finite element formulation. The nature of the three-dimensional flow field has been analyzed in detail, and the local and average Nusselt numbers have been obtained for a range of Rayleigh numbers of practical interest. In order to evaluate the effect of a porous perturbation, the flow and heat transfer characteristics were compared with those for a regular annulus without a perturbation and one with a solid perturbation. This study reports on the dependence of the flow and heat transfer characteristics on the governing parameters such as the ratio of the conductivity of the porous material to that of the fluid and the permeability. A correlation has been obtained that captures the variations of the overall heat transfer as a function of the Rayleigh number, the permeability, and the conductivity ratio. The results of this study show that both heat transfer retardation and enhancement can be achieved with the introduction of a porous perturbation.},

doi = {},

journal = {Numerical Heat Transfer. Part A, Applications},

number = 2,

volume = 36,

place = {United States},

year = {1999},

month = {8}

}