##
**Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species.**
*(English)*
Zbl 1210.76205

Summary: An analysis has been carried out to obtain the flow and mass transfer characteristics of a viscous electrically conducting fluid on a continuously stretching surface with non-zero slot velocity. The motion is caused solely by the stretching surface which introduces non-similarity in the velocity and concentration fields. The partial differential equations governing the boundary layer flow and mass transfer are solved by using an implicit finite-difference scheme. The magnetic field significantly increases the surface skin friction, but slightly reduces the surface mass transfer. The surface mass transfer strongly depends on the Schmidt number and the reaction rate and it increases with their increasing values. The surface mass transfer for the first-order reaction is more than that for the second- or-third-order reaction.

### MSC:

76V05 | Reaction effects in flows |

76M20 | Finite difference methods applied to problems in fluid mechanics |

80A20 | Heat and mass transfer, heat flow (MSC2010) |

PDFBibTeX
XMLCite

\textit{H. S. Takhar} et al., Int. J. Eng. Sci. 38, No. 12, 1303--1314 (2000; Zbl 1210.76205)

Full Text:
DOI

### References:

[1] | Griffith, R. M., Velocity temperature and concentration distributions during fibre spinning, Ind. Eng. Chem. Fundam., 3, 245-250 (1964) |

[2] | Erickson, L. E.; Fan, L. T.; Fox, V. G., Heat and mass transfer on a moving continuous flat plate with suction or injection, Ind. Eng. Chem. Fundam., 5, 19-25 (1966) |

[3] | Chin, D. T., Mass transfer to a continuous moving sheet electrode, J. Electrochem. Soc., 122, 643-646 (1975) |

[4] | Gorla, R. S.R., Unsteady mass transfer in the boundary layer on a continuous moving sheet electrode, J. Elecrochem. Soc., 125, 865-869 (1978) |

[5] | Crane, L. J., Flow past a stretching plate, Z. Angew Math. Phys., 21, 645-647 (1970) |

[6] | Vleggaar, J., Laminar boundary layer behaviour on continuous accelarating surfaces, Chem. Eng. Sci., 32, 1517-1525 (1977) |

[7] | Gupta, P. S.; Gupta, A. S., Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55, 744-746 (1977) |

[8] | Chakrabarti, A.; Gupta, A. S., Hydromagnetic flow heat and mass transfer over a stretching sheet, Quart. Appl. Math., 33, 73-78 (1979) · Zbl 0402.76012 |

[9] | Carragher, P.; Crane, L. J., Heat transfer on continous stretching sheet, Z. Angew. Math. Mech., 62, 564-565 (1982) |

[10] | Grubka, L. J.; Bobba, K. M., Heat transfer characteristics of a continuous stretching surface with variable temperature, J. Heat Transfer, 107, 248-250 (1985) |

[11] | Chen, C. K.; Char, M. J., Heat transfer of a continuous stretching surface with suction or blowing, J. Math. Anal. Appl., 135, 568-580 (1988) · Zbl 0652.76062 |

[12] | Dutta, B. K., Heat transfer from a stretching sheet with uniform suction or blowing, Acta Mechanica, 78, 255-262 (1989) · Zbl 0687.76097 |

[13] | Andersson, H. I., An exact solution of the Navier-Stokes equations for MHD flow, Acta Mechanica, 113, 241-244 (1995) · Zbl 0863.76089 |

[14] | Jeng, D. R.; Chang, T. C.A.; De Witt, K. J., Momentum and heat transfer on a continuous moving surface, ASME J. Heat Transfer, 108, 532-539 (1986) |

[15] | Andersson, H. I.; Hansen, O. R.; Holmedal, B., Diffusion of a chemically reactive species from a stretching sheet, Int. J. Heat Mass Transfer, 37, 659-664 (1994) · Zbl 0900.76609 |

[16] | A.C. Eringen, G.A. Maugin, Electrodynamics of Continua II, Springer, Berlin, 1990; A.C. Eringen, G.A. Maugin, Electrodynamics of Continua II, Springer, Berlin, 1990 |

[17] | F.G. Blottner, Finite-difference methods of solution of the boundary layer equations, AIAA. J. 8 (1970) 193-205; F.G. Blottner, Finite-difference methods of solution of the boundary layer equations, AIAA. J. 8 (1970) 193-205 · Zbl 0223.76026 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.