Selvarajan, S and Narayanan, V S (1992) *Numerical Techniques For Solution Of Rayleigh-Benard Thermal Stability Problem Using Chebyshev Collocation Method.* Technical Report. NAL, Bangalore.

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## Abstract

Most Of The Stability Problems In Fluid Mechanics May Be Reduced To Algebraic Eigenvalue Problems By Certain Simplifying Assumptions. The Problem Still Poses A Difficu'lity In Solving, Due To The Non-Linearity Of The Eigenvalue Appearing In The Equation . An Algorithm To Solve This Type Of Problem Is Presented And Applied To A Specific Problem, Namely The Rayleigh- Benard Thermal Stability Problem.The Differential Equations Governing The Phenomenon Are Reduced To Algebraic Form Using The Chebyshev-Gauss-Lobatto Collocation Method. On Applying Boundary Conditions (Free-Free),An Over-Determined System Of Equations Is Obtained .With Suitable Matrix Manipulation, This May Be Reduced To A General Eigenvalue Problem . The Resulting Algebraic Form Of The Generalised Eigenvalue Problem Is Solved Using The QZ Algorithm

Item Type: | Proj.Doc/Technical Report (Technical Report) |
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Uncontrolled Keywords: | Rayleigh-Bernard Thermal Stability Problem ;Chebyshev Collocation Method |

Subjects: | ASTRONAUTICS > Astronautics (General) |

Division/Department: | Experimental Aerodynamics Division, Experimental Aerodynamics Division |

Depositing User: | M/S ICAST NAL |

Date Deposited: | 08 Aug 2012 15:30 |

Last Modified: | 08 Aug 2012 15:30 |

URI: | http://nal-ir.nal.res.in/id/eprint/10768 |

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