### Abstract

The problem of analyzing complex flows in infinite domains by replacing the infinite region by a bounded region is examined. The formulation of appropriate boundary conditions at inflow and outflow planes is discussed, and methods of verifying that the solution to the finite problem represents a valid approximation to the solution of the infinite problem are evaluated. A model problem for the creeping flow of a Newtonian fluid is solved, and it is shown that utilization of a finite domain leads to some inaccuracies in the evaluation of pressure gradients and pressure drops. It is further shown for the model problem that it is possible to obtain seemingly acceptable solutions for the finite flow field which are, in reality, poor approximations to the solution of the infinite problem.

Original language | English (US) |
---|---|

Pages (from-to) | 1-13 |

Number of pages | 13 |

Journal | Journal of Non-Newtonian Fluid Mechanics |

Volume | 19 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1985 |

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### All Science Journal Classification (ASJC) codes

- Chemical Engineering(all)
- Materials Science(all)
- Condensed Matter Physics
- Mechanical Engineering
- Applied Mathematics

### Cite this

*Journal of Non-Newtonian Fluid Mechanics*,

*19*(1), 1-13. https://doi.org/10.1016/0377-0257(85)87009-9

}

*Journal of Non-Newtonian Fluid Mechanics*, vol. 19, no. 1, pp. 1-13. https://doi.org/10.1016/0377-0257(85)87009-9

**Boundary conditions at inflow and outflow planes.** / Vrentas, J. S.; Vrentas, Christine Mary; Ling, H. C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Boundary conditions at inflow and outflow planes

AU - Vrentas, J. S.

AU - Vrentas, Christine Mary

AU - Ling, H. C.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - The problem of analyzing complex flows in infinite domains by replacing the infinite region by a bounded region is examined. The formulation of appropriate boundary conditions at inflow and outflow planes is discussed, and methods of verifying that the solution to the finite problem represents a valid approximation to the solution of the infinite problem are evaluated. A model problem for the creeping flow of a Newtonian fluid is solved, and it is shown that utilization of a finite domain leads to some inaccuracies in the evaluation of pressure gradients and pressure drops. It is further shown for the model problem that it is possible to obtain seemingly acceptable solutions for the finite flow field which are, in reality, poor approximations to the solution of the infinite problem.

AB - The problem of analyzing complex flows in infinite domains by replacing the infinite region by a bounded region is examined. The formulation of appropriate boundary conditions at inflow and outflow planes is discussed, and methods of verifying that the solution to the finite problem represents a valid approximation to the solution of the infinite problem are evaluated. A model problem for the creeping flow of a Newtonian fluid is solved, and it is shown that utilization of a finite domain leads to some inaccuracies in the evaluation of pressure gradients and pressure drops. It is further shown for the model problem that it is possible to obtain seemingly acceptable solutions for the finite flow field which are, in reality, poor approximations to the solution of the infinite problem.

UR - http://www.scopus.com/inward/record.url?scp=0022144448&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022144448&partnerID=8YFLogxK

U2 - 10.1016/0377-0257(85)87009-9

DO - 10.1016/0377-0257(85)87009-9

M3 - Article

AN - SCOPUS:0022144448

VL - 19

SP - 1

EP - 13

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 1

ER -