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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.
 Spring '09
 ES

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