HYDROMAGNETIC STABILITY OF A STREAMINGCOMPRESSIBLE GAS CYLINDER IN A LIQUID FOR( m=0)MODE | ||||
| The International Conference on Mathematics and Engineering Physics | ||||
| Article 5, Volume 3, International Conference on Engineering Mathematics and Physics (ICMEP-3), May 2006, Page 1-20 PDF (493.85 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/icmep.2006.29908 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Ahmed E. Radwan1; Hussain E. Hussain2 | ||||
| 1Professor, Mathematics Department, Faculty of Science, Ain Shams University, Cairo,Egypt. | ||||
| 2Engineer, Engineering Physics and Mathematics Department, Faculty of Engineering, Ain Shams University , Cairo, Egypt. | ||||
| Abstract | ||||
| ABSTRACT The hydromagnetic instability of compressible hollow jet involved with surface tension is discussed in the axisymmetric mode for all short and long wavelengths. The dispersion relation is derived and discussed analytically and numerically. The axial magnetic fields inside the gas and liquid regions have stabilizing effects for all short and long wavelengths. This is physically interpreted that the axial field exerts a strong effect which causes the bending and twisting of the magnetic lines of force. The compressibility effects need careful treating. Here the incompressible fluid result is obtained as a tends to ∞ ( a is the sound speed in the fluid). For finite value of a (i.e. compressible fluid), the temporal amplification is larger than that in the incompressible case. So the compressibility has a strong destabilizing tendency and increase the unstable domains. The streaming is destabilizing for all short and long wavelengths. The capillary force is destabilizing for small wave numbers while it is stabilizing for all the rest wavelengths. Whatever the stabilizing effect of the electromagnetic force is strong enough, the capillary, streaming and compressible instability could not be suppressed and the model will be always unstabl | ||||
| Keywords | ||||
| Compressible; Gas Cylinder; Hydromagnetic and Streaming | ||||
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