##
**Unsteady MHD Couette flow in a rotating system.**
*(English)*
Zbl 1185.76915

Summary: The unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system has been considered. An exact solution of the governing equations has been obtained by using a Laplace transform. Solutions for the velocity distributions as well as shear stresses have been obtained for small times as well as for large times. It is found that for large times the primary velocity decreases with increase in the rotation parameter \(K^{2}\) while it increases with increase in the magnetic parameter \(M^{2}\). It is also found that with increase in \(K^{2}\), the secondary velocity \(v_{1}\) decreases near the stationary plate while it increases near the moving plate. On the other hand, the secondary velocity decreases with increase in the magnetic parameter.

### MSC:

76W05 | Magnetohydrodynamics and electrohydrodynamics |

PDF
BibTeX
XML
Cite

\textit{S. Das} et al., Math. Comput. Modelling 50, No. 7--8, 1211--1217 (2009; Zbl 1185.76915)

Full Text:
DOI

### References:

[1] | Jana, R.N.; Datta, N., Couette flow and heat transfer in a rotating system, Acta mech., 26, 301, (1977) · Zbl 0364.76089 |

[2] | Jana, R.N.; Datta, N.; Mazumder, B.S., Magnetohydrodynamic Couette flow and heat transfer in a rotating system, J. phys. soc. Japan, 42, 1034-1039, (1977) |

[3] | R.S. Nanda, G.S. Seth, R.N. Jana, M.K. Maity, Technical Report, No. 4, Grant no. 103, Department of Space, Government of India |

[4] | Jana, R.N.; Datta, N., Hall effects on MHD Couette flow in a rotating system, Czech J. phys., 330, 659, (1980) |

[5] | Seth, G.S.; Jana, R.N.; Maity, M.K., Unsteady hydromagnetic Couette flow in a rotating system, Int. J. eng. sci., 20, 989-999, (1982) · Zbl 0599.76135 |

[6] | Mazumder, B.S., An exact solution of an oscillatory Couette flow in a rotating system, Trans. ASME J. appl. mech., 58, 1104-1107, (1991) · Zbl 0825.76879 |

[7] | Singh, K.D.; Gorla, G.; Rajhans, A periodic solution of oscillatory Couette flow through porous medium in a rotating system, Indian J. pure appl. math., 36, 3, 151-159, (2005) · Zbl 1137.76315 |

[8] | Guria, M.; Jana, R.N.; Ghosh, S.K., Unsteady Couette flow in a rotating system, Int. J. non-linear mech., 41, 838-843, (2006) |

[9] | Carslaw, H.S.; Jaeger, J.C., Conduction of heat in solids, (1959), Oxford University Press Oxford, p. 297 · Zbl 0029.37801 |

[10] | Batchelor, G.K., An introduction to fluid dynamics, (1967), Cambridge Univ. Press Cambridge · Zbl 0152.44402 |

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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.