# An accurate method for the simulation of three-dimensional incompressible heated pipe flow

## Abstract

A numerical scheme using Fourier expansions in the streamwise and azimuthal directions and Jacobi polynomials in the radial direction for the direct numerical simulation of three-dimensional incompressible pipe flow with heating is presented. The proposed basis and test functions for the thermal field in conjunction with those for the velocity field set forth by Leonard and Wary offer an accurate representation of flow variables in transitional flow. A simple test to a linear stability problem demonstrates that this method yields very accurate results with relatively few radial modes and is well suited for the simulation of nonisothermal pipe flow transition.

- Authors:

- Publication Date:

- Research Org.:
- Washington State Univ., Pullman, WA (US)

- OSTI Identifier:
- 20067734

- Alternate Identifier(s):
- OSTI ID: 20067734

- Resource Type:
- Journal Article

- Journal Name:
- Numerical Heat Transfer. Part B, Fundamentals

- Additional Journal Information:
- Journal Volume: 37; Journal Issue: 3; Other Information: PBD: Apr-May 2000; Journal ID: ISSN 1040-7790

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; NUMERICAL SOLUTION; THREE-DIMENSIONAL CALCULATIONS; INCOMPRESSIBLE FLOW; PIPES; HEATING; TRANSITION FLOW

### Citation Formats

```
Su, Y.C., Wang, C.S., Chung, J.N., and Lee, S.T.
```*An accurate method for the simulation of three-dimensional incompressible heated pipe flow*. United States: N. p., 2000.
Web.

```
Su, Y.C., Wang, C.S., Chung, J.N., & Lee, S.T.
```*An accurate method for the simulation of three-dimensional incompressible heated pipe flow*. United States.

```
Su, Y.C., Wang, C.S., Chung, J.N., and Lee, S.T. Mon .
"An accurate method for the simulation of three-dimensional incompressible heated pipe flow". United States.
```

```
@article{osti_20067734,
```

title = {An accurate method for the simulation of three-dimensional incompressible heated pipe flow},

author = {Su, Y.C. and Wang, C.S. and Chung, J.N. and Lee, S.T.},

abstractNote = {A numerical scheme using Fourier expansions in the streamwise and azimuthal directions and Jacobi polynomials in the radial direction for the direct numerical simulation of three-dimensional incompressible pipe flow with heating is presented. The proposed basis and test functions for the thermal field in conjunction with those for the velocity field set forth by Leonard and Wary offer an accurate representation of flow variables in transitional flow. A simple test to a linear stability problem demonstrates that this method yields very accurate results with relatively few radial modes and is well suited for the simulation of nonisothermal pipe flow transition.},

doi = {},

journal = {Numerical Heat Transfer. Part B, Fundamentals},

issn = {1040-7790},

number = 3,

volume = 37,

place = {United States},

year = {2000},

month = {5}

}

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