Ankur dynamo theorem - not . If we assume that v is...

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ANKUR AHMED ROLL NO : 08532009 Dynamo Theory
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The dynamo theory proposed a mechanism by which a celestial body such as earth generates a magnetic field. *d
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File history File links
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ooInner coreoo inner core
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Maxwell equation Name Differential form Integral form Gauss's law : Gauss's law for magnetism : Maxwell-Faraday equation ( Faraday's law of induction ): Ampère's circuital law (with Maxwell's correction):
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Magnetohydrodynamic equation
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The left hand side gives the rate of change of magnetic flux in the core. It is determined by two terms on the right side. The first is inversely dependent on the electrical conductivity, and determines the decay of the field in the absence of a driving potential. The second, dynamo term depend on the Lorentz electric field, which is determined by the velocity field of the fluid motions in the core. Kinematic dynamo theorem::
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It can be use to test whether a velocity field is capable of generating magnetic field or
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Unformatted text preview: not . If we assume that v is unaffected by the presence of magnetic field then the above equation is essentially a linear eigenvalue equation for the magnetic field B . Corresponding to this eigenvalues we will get eigen vector and this eigenvector will represent the field. 888888 If magnetic field become strong enough to affect the fluid motions then kinematic dynamo theorem invalid. In that case the velocity field becomes affected by the Lorentz force and so the induction is no longer linear in the magnetic field. numerical models are used to simulate fully nonlinear dynamo. Non linear Dynamo theorem The four basic equations  Maxwell equation  Boussinesq law  Navier –stoke equ  Heat equation Name of equations Mathematical form *********************************  Rayleigh number  Ekman number  Pandtl number  Magnetic Pandtl number Numbers Mathematical form Thank you...
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This note was uploaded on 05/09/2010 for the course EARTH SCIE APPLIED GE taught by Professor Es during the Spring '09 term at IIT Bombay.

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Ankur dynamo theorem - not . If we assume that v is...

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