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**Magnetohydrodynamic viscoelastic boundary layer flow past a stretching plate and heat transfer.**
*(English)*
Zbl 1134.76742

Summary: The heat transfer from a non-isothermal stretching sheet in the presence of a transverse magnetic field is analyzed using the theory of viscoelastic fluid formulated by K. Walters [Second Order Effects in Elasticity, Plasticity and Fluid Dynamics, Pergamon (1964)] and D. W. Beard and K. Walters [Proc. Camb. Philos. Soc. 60, 667–674 (1964; Zbl 0123.41601)]. By means of the successive approximation, method the governing equations for momentum and energy have been solved. The effects of the coefficient of elastic velocity of fluid \(K_0\), surface mass transfer \(f_\omega 0\), Alfven velocity \(\alpha\), Prandtl number \(P\), and relaxation time parameter \(\tau_0\) on the velocity, and temperature have discussed. Numerical results are given and illustrated graphically for the problem considered.

### MSC:

76W05 | Magnetohydrodynamics and electrohydrodynamics |

76A10 | Viscoelastic fluids |

76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |

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

### Citations:

Zbl 0123.41601
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\textit{M. Zakaria}, Appl. Math. Comput. 155, No. 1, 165--177 (2004; Zbl 1134.76742)

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### References:

[1] | Walters, K, Second order effects in elasticity, plasticity and fluid dynamics, (1964), Pergamon |

[2] | Beard, D; Walters, K, Elastic-viscous boundary layer flows. part I. two dimensional flow near a stagnation point, Proc. Cambridge philol. soc., 60, (1964) · Zbl 0123.41601 |

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[13] | Gupta, P.S; Gupta, A.S, Heat and mass transfer on a stretching sheet with suction and blowing, Can. J. chem. eng., 55, (1977) |

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[15] | Zakaria, M, Solution of the boundary layer equation for a magnetohydrodynamic flow of a perfectly conducting fluid, J. ksiam, 6, 2, (2002) |

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