### Abstract

The effects of homogeneous-heterogeneous reactions on the steady boundary layer flow near the stagnation point on a stretching surface is studied. The possible steady-states of this system are analyzed in the case when the diffusion coefficients of both reactant and auto catalyst are equal. The strength of this effect is represented by the dimensionless parameter K and K_{s}. It is shown that for a fluid of small kinematic viscosity, a boundary layer is formed when the stretching velocity is less than the free stream velocity and an inverted boundary layer is formed when the stretching velocity exceeds the free stream velocity. The uniqueness of this problem lies on the fact that the solutions are possible for all values of λ>0 (stretching surface), while for λ<0 (shrinking surface), solutions are possible only for its limited range.

Original language | English |
---|---|

Pages (from-to) | 4296-4302 |

Number of pages | 7 |

Journal | Communications in Nonlinear Science and Numerical Simulation |

Volume | 16 |

Issue number | 11 |

DOIs | |

Publication status | Published - Nov 2011 |

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### Keywords

- Homogeneous-heterogeneous reactions
- Stagnation-point flow
- Stretching sheet

### ASJC Scopus subject areas

- Modelling and Simulation
- Numerical Analysis
- Applied Mathematics

### Cite this

**On the stagnation-point flow towards a stretching sheet with homogeneous-heterogeneous reactions effects.** / Bachok, Norfifah; Mohd Ishak, Anuar; Pop, Ioan.

Research output: Contribution to journal › Article

*Communications in Nonlinear Science and Numerical Simulation*, vol. 16, no. 11, pp. 4296-4302. https://doi.org/10.1016/j.cnsns.2011.01.008

}

TY - JOUR

T1 - On the stagnation-point flow towards a stretching sheet with homogeneous-heterogeneous reactions effects

AU - Bachok, Norfifah

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2011/11

Y1 - 2011/11

N2 - The effects of homogeneous-heterogeneous reactions on the steady boundary layer flow near the stagnation point on a stretching surface is studied. The possible steady-states of this system are analyzed in the case when the diffusion coefficients of both reactant and auto catalyst are equal. The strength of this effect is represented by the dimensionless parameter K and Ks. It is shown that for a fluid of small kinematic viscosity, a boundary layer is formed when the stretching velocity is less than the free stream velocity and an inverted boundary layer is formed when the stretching velocity exceeds the free stream velocity. The uniqueness of this problem lies on the fact that the solutions are possible for all values of λ>0 (stretching surface), while for λ<0 (shrinking surface), solutions are possible only for its limited range.

AB - The effects of homogeneous-heterogeneous reactions on the steady boundary layer flow near the stagnation point on a stretching surface is studied. The possible steady-states of this system are analyzed in the case when the diffusion coefficients of both reactant and auto catalyst are equal. The strength of this effect is represented by the dimensionless parameter K and Ks. It is shown that for a fluid of small kinematic viscosity, a boundary layer is formed when the stretching velocity is less than the free stream velocity and an inverted boundary layer is formed when the stretching velocity exceeds the free stream velocity. The uniqueness of this problem lies on the fact that the solutions are possible for all values of λ>0 (stretching surface), while for λ<0 (shrinking surface), solutions are possible only for its limited range.

KW - Homogeneous-heterogeneous reactions

KW - Stagnation-point flow

KW - Stretching sheet

UR - http://www.scopus.com/inward/record.url?scp=79957916315&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957916315&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2011.01.008

DO - 10.1016/j.cnsns.2011.01.008

M3 - Article

AN - SCOPUS:79957916315

VL - 16

SP - 4296

EP - 4302

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

IS - 11

ER -