A reynolds-uniform numerical method for Prandtl's boundary layer problem for flow past a plate with mass transfer

J. S. Butler; J. J.H. Miller; G. I. Shishkin

doi:10.1142/S1465876304002459

A reynolds-uniform numerical method for Prandtl's boundary layer problem for flow past a plate with mass transfer

J. S. Butler, J. J.H. Miller, G. I. Shishkin

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

The Prandtl's layer equations was considered for laminar flow past a plate with suction/blowing of the flow rate density v₀(x) = ∓v _i2^∓1/2RE^1/2x ^∓1/2. It was found that Reynolds number was large the solution of the problem had a parabolic boundary layer at the surface of the plate excluding its leading edge. A direct numerical method for computing approximations to the solution of this problem using a piecewise uniform fitted mesh technique was also constructed. It was also shown by extensiv.

Original language	English
Pages (from-to)	387-402
Number of pages	16
Journal	International Journal of Computational Engineering Science
Volume	5
Issue number	2
DOIs	https://doi.org/10.1142/S1465876304002459
Publication status	Published - Jun 2004

Keywords

Boundary layer equations
Finite difference
Prandtl's problem with mass transfer
Reynolds uniform direct numerical method

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10.1142/S1465876304002459

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abstract = "The Prandtl's layer equations was considered for laminar flow past a plate with suction/blowing of the flow rate density v0(x) = ∓v i2∓1/2RE1/2x ∓1/2. It was found that Reynolds number was large the solution of the problem had a parabolic boundary layer at the surface of the plate excluding its leading edge. A direct numerical method for computing approximations to the solution of this problem using a piecewise uniform fitted mesh technique was also constructed. It was also shown by extensiv.",

keywords = "Boundary layer equations, Finite difference, Prandtl's problem with mass transfer, Reynolds uniform direct numerical method",

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AU - Butler, J. S.

AU - Miller, J. J.H.

AU - Shishkin, G. I.

PY - 2004/6

Y1 - 2004/6

N2 - The Prandtl's layer equations was considered for laminar flow past a plate with suction/blowing of the flow rate density v0(x) = ∓v i2∓1/2RE1/2x ∓1/2. It was found that Reynolds number was large the solution of the problem had a parabolic boundary layer at the surface of the plate excluding its leading edge. A direct numerical method for computing approximations to the solution of this problem using a piecewise uniform fitted mesh technique was also constructed. It was also shown by extensiv.

AB - The Prandtl's layer equations was considered for laminar flow past a plate with suction/blowing of the flow rate density v0(x) = ∓v i2∓1/2RE1/2x ∓1/2. It was found that Reynolds number was large the solution of the problem had a parabolic boundary layer at the surface of the plate excluding its leading edge. A direct numerical method for computing approximations to the solution of this problem using a piecewise uniform fitted mesh technique was also constructed. It was also shown by extensiv.

KW - Boundary layer equations

KW - Finite difference

KW - Prandtl's problem with mass transfer

KW - Reynolds uniform direct numerical method

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ER -

A reynolds-uniform numerical method for Prandtl's boundary layer problem for flow past a plate with mass transfer

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