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From Sunspots to solar
   dynamo model
       A. Bayadroun
Characteristics
              Core : nuclear fusion extend
               from center to ~ 0.2R
              Radiative zone : from 0.2R to
               0.7R, heat transfert is only
               thermal radiation.
              Convective zone : from 0.7R to
               the sun ‘s surface du soleil, heat
               ltransfert is only thermal
               convection
              Photosphere : is the visible surface
               of the sun ~ 400 km width ,
              Solar atmosphere includes : the
               chromosphere , the coronna and
               the heliosphere
The solar atmosphere
   Chromosphere : low T from
    4000 K to100000 T , width
    ~ 2000 km

   Coronna : High T 1 billion
     K , chaotic mouvement , can
    be seen as halo during a total
    solar eclipse

   Heliosphere : is the region
    from 20R to above..
General view
Solar magnetic field : key element to
        understand the sun
   Magnetism, or magnetic field, is produced on the Sun by the
    flow of electrically charged ions and electrons

Events are :

   Sunspots are places where very intense magnetic lines of force
    break through the Sun's surface.
    The sunspot cycle results from the recycling of magnetic fields
    by the flow of material in the interior.
   The prominences seen floating above the surface of the Sun are
    supported, and threaded through, with magnetic fields. The
    streamers and loops seen in the corona are shaped by magnetic
    fields
Sunspots history
   Early observations have been recorded by Asian
    astronomers (-28 BC) and in Europe in the ‘moyen
    Age’ then in 1611 in details par Christoph Scheiner
    and Galileo in 1612 with his astronomic telescope.
   The astonomic Observatory of Zurich continue to
    observe and records these sunspots.
   The sunspot itself can be divided into two parts:
    The central umbra, which is the darkest part, where
    the magnetic field is approximately vertical (normal to
    the sun's surface).
    The surrounding penumbra, which is lighter, where
    the magnetic field lines are more inclined.
The sunspot cycle                     Dalton
                                                                Minimun
   In 1843 the astronomer Heinrich Schwabe after he
    records these sunspots remarks a cycle of about 11
    years
    In 1849 the Swiss astronomer Johan Rudolf Wolf
    establish a formula to calculate the solar activity since
    year 1761

    The sunspot number = number of spot’s group x
    number of each group

   Also the Royal Greenwich Observatory records these
    sunspots which contains not only the number but also
    size and position. In the beginning of the cycle
    thesesunspots appears at high altitude in the 2
    hemispheres (~ at 40 ).During the cycle the sunspots
    will then move near the equator until the next cycle .
    This gives us the the butterfly diagram ---->
   From these datas the astromers finds that the velocity
    rotation at the equator is higher than in the poles.
Relation between sunspots and
               magnetic field
   Hale in 1908 was the first who tougth
    that a high magnetic fields is located in
    the sunspots ( until 4kG) .these are flux
    tube coming to or from.They are
    organised by doublet aligned
    East/West direction.
   Hale-Nicholson Law:
    1/the polarity of these doublet are
    always opposite (bipolar)
    2/the order of the polarity is inversed
    from one hemisphere to the other
    3/the polarity of the bipolar are
    inversed from one cycle of 11 years to
    the other ---> the cycle of the
    magnetic field is de 22 years.
The solar dynamo
   The fact that the Sun's magnetic field changes dramatically over the course of
    just a few years, and the fact that it changes in a cyclical manner indicates that
    the magnetic field continues to be generated within the Sun ---->dynamo

   A successful model for the solar dynamo must explain several observations:
    1) the 11-year period of the sunspot cycle,
    2) the equator-ward drift of the active latitude as seen in the butterfly diagram,
    3) Hale's polarity law and the 22-year magnetic cycle,
    4) Joy's law for the observed tilt of sunspot groups and,
    5) the reversal of the polar magnetic fields near the time of cycle maximum as
    seen in the magnetic butterfly diagram
The dynamo disk
   In the years of 1831–1832, Michael Faraday
    discovered the operating principle of
    electromagnetic generators
    Faraday disk, the first electric generator
    When the disk was turns , this induced a
    radial electric current. The current flows out
    through the contacts , through the external
    circuit, and come back into the center of the
    disk through the axis.
   But is it possible that the current generated
    by this process generates also the magnetic
    field that the system need ? This is the
    mecanism proposed by Larmor in 1919 to
    explain the solar magnetic field and this can
    be illustrated by the Bullard dynamo (1949)
The Bullard dynamo disc (1949)

A conducting disk rotates around its
axis at the angular velocity Omega A
small magnetic field is applied in the
vertical direction which induces a
current in the disk from the axis
towards the edge of the conducting
disk.
Then this current flows in a conducting
loop which if orientated in an
appropriate way, induced a magnetic
field orientated in the same direction as
the initial one.
Thus an infinitesimal magnetic field
can be amplified by this mechanism,
leading to a dynamo
The 2 effects
   Magnetic fields are produced by electric currents.
    These currents are generated within the Sun by
    the flow of the Sun's hot, ionized gases. We
    observe a variety of flows on the Sun's surface
    and within its interior . All of these flows may
    contribute in one way or another to the
    production of the Sun's magnetic field.
   Magnetic fields are a little like rubber bands.
    They consist of continuous loops of lines of
    force that have both tension and pressure. Like
    rubber bands, magnetic fields can be
    strengthened by stretching them, twisting them,
    and folding them back on themselves. This
    stretching, twisting, and folding is done by the
    fluid flows within the Sun.

   2 effects ( Alpha and Omega ) have been
    identified for the solar dynamo :

   What is these 2 effects ?

.
The Omega Effect

   Magnetic fields within the
    Sun are stretched out and
    wound around the Sun by
    differential rotation - the
    change in rotation rate as a
    function of latitude and
    radius within the Sun. This is
    called the omega-effect after
    the Greek letter used to
    represent rotation.
The Alpha Effect
   Twisting of the magnetic field lines
    is caused by the effects of the Sun's
    rotation. This is called the alpha-
    effect after the Greek letter that
    looks like a twisted loop. length.
The Alpha Omega dynamo scheme
Combining the 2 effects lead to the Alpha Omega Dynamo


                                   Omega effect



                                                         Bpoloidal
     Btoroidal



                                      Alpha effect
Conclusion
   The study of the sunspots
    has began long time ago but
    we still have some questions
    about predictions of the
    magnitude of the sunspots ,
    the depth and how the
    energy is transported to the
    surface of the sun .
   A lot of models have been
    proposed but none of them
    is accepted by all
    astronomers .
   These small sunspots have
    still long story ...
Questions ?
   Thank you for your
    attention
Bibliographies & web link
   http://www.iki.rssi.ru/mirrors/stern/earthmag/dynam
    os_fr.html
   http://mpimichelet.free.fr/faraday.html
   http://solarscience.msfc.nasa.gov/dynamo.shtml
   http://www.ikonet.com
   http://enslyon.free.fr/rapports/physique/Pierre_Augie
    r_2.pdf
   http://www.emse.fr/~bouchardon
   http://baudolino.free.fr
   http://www.asc-csa.gc.ca
   http://en.wikipedia.org/wiki/Sun

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Solar dynamo1

  • 1. From Sunspots to solar dynamo model A. Bayadroun
  • 2. Characteristics  Core : nuclear fusion extend from center to ~ 0.2R  Radiative zone : from 0.2R to 0.7R, heat transfert is only thermal radiation.  Convective zone : from 0.7R to the sun ‘s surface du soleil, heat ltransfert is only thermal convection  Photosphere : is the visible surface of the sun ~ 400 km width ,  Solar atmosphere includes : the chromosphere , the coronna and the heliosphere
  • 3. The solar atmosphere  Chromosphere : low T from 4000 K to100000 T , width ~ 2000 km  Coronna : High T 1 billion K , chaotic mouvement , can be seen as halo during a total solar eclipse  Heliosphere : is the region from 20R to above..
  • 5. Solar magnetic field : key element to understand the sun  Magnetism, or magnetic field, is produced on the Sun by the flow of electrically charged ions and electrons Events are :  Sunspots are places where very intense magnetic lines of force break through the Sun's surface. The sunspot cycle results from the recycling of magnetic fields by the flow of material in the interior.  The prominences seen floating above the surface of the Sun are supported, and threaded through, with magnetic fields. The streamers and loops seen in the corona are shaped by magnetic fields
  • 6. Sunspots history  Early observations have been recorded by Asian astronomers (-28 BC) and in Europe in the ‘moyen Age’ then in 1611 in details par Christoph Scheiner and Galileo in 1612 with his astronomic telescope.  The astonomic Observatory of Zurich continue to observe and records these sunspots.  The sunspot itself can be divided into two parts: The central umbra, which is the darkest part, where the magnetic field is approximately vertical (normal to the sun's surface). The surrounding penumbra, which is lighter, where the magnetic field lines are more inclined.
  • 7. The sunspot cycle Dalton Minimun  In 1843 the astronomer Heinrich Schwabe after he records these sunspots remarks a cycle of about 11 years In 1849 the Swiss astronomer Johan Rudolf Wolf establish a formula to calculate the solar activity since year 1761 The sunspot number = number of spot’s group x number of each group  Also the Royal Greenwich Observatory records these sunspots which contains not only the number but also size and position. In the beginning of the cycle thesesunspots appears at high altitude in the 2 hemispheres (~ at 40 ).During the cycle the sunspots will then move near the equator until the next cycle . This gives us the the butterfly diagram ---->  From these datas the astromers finds that the velocity rotation at the equator is higher than in the poles.
  • 8. Relation between sunspots and magnetic field  Hale in 1908 was the first who tougth that a high magnetic fields is located in the sunspots ( until 4kG) .these are flux tube coming to or from.They are organised by doublet aligned East/West direction.  Hale-Nicholson Law: 1/the polarity of these doublet are always opposite (bipolar) 2/the order of the polarity is inversed from one hemisphere to the other 3/the polarity of the bipolar are inversed from one cycle of 11 years to the other ---> the cycle of the magnetic field is de 22 years.
  • 9. The solar dynamo  The fact that the Sun's magnetic field changes dramatically over the course of just a few years, and the fact that it changes in a cyclical manner indicates that the magnetic field continues to be generated within the Sun ---->dynamo  A successful model for the solar dynamo must explain several observations: 1) the 11-year period of the sunspot cycle, 2) the equator-ward drift of the active latitude as seen in the butterfly diagram, 3) Hale's polarity law and the 22-year magnetic cycle, 4) Joy's law for the observed tilt of sunspot groups and, 5) the reversal of the polar magnetic fields near the time of cycle maximum as seen in the magnetic butterfly diagram
  • 10. The dynamo disk  In the years of 1831–1832, Michael Faraday discovered the operating principle of electromagnetic generators Faraday disk, the first electric generator When the disk was turns , this induced a radial electric current. The current flows out through the contacts , through the external circuit, and come back into the center of the disk through the axis.  But is it possible that the current generated by this process generates also the magnetic field that the system need ? This is the mecanism proposed by Larmor in 1919 to explain the solar magnetic field and this can be illustrated by the Bullard dynamo (1949)
  • 11. The Bullard dynamo disc (1949) A conducting disk rotates around its axis at the angular velocity Omega A small magnetic field is applied in the vertical direction which induces a current in the disk from the axis towards the edge of the conducting disk. Then this current flows in a conducting loop which if orientated in an appropriate way, induced a magnetic field orientated in the same direction as the initial one. Thus an infinitesimal magnetic field can be amplified by this mechanism, leading to a dynamo
  • 12. The 2 effects  Magnetic fields are produced by electric currents. These currents are generated within the Sun by the flow of the Sun's hot, ionized gases. We observe a variety of flows on the Sun's surface and within its interior . All of these flows may contribute in one way or another to the production of the Sun's magnetic field.  Magnetic fields are a little like rubber bands. They consist of continuous loops of lines of force that have both tension and pressure. Like rubber bands, magnetic fields can be strengthened by stretching them, twisting them, and folding them back on themselves. This stretching, twisting, and folding is done by the fluid flows within the Sun.  2 effects ( Alpha and Omega ) have been identified for the solar dynamo :  What is these 2 effects ? .
  • 13. The Omega Effect  Magnetic fields within the Sun are stretched out and wound around the Sun by differential rotation - the change in rotation rate as a function of latitude and radius within the Sun. This is called the omega-effect after the Greek letter used to represent rotation.
  • 14. The Alpha Effect  Twisting of the magnetic field lines is caused by the effects of the Sun's rotation. This is called the alpha- effect after the Greek letter that looks like a twisted loop. length.
  • 15. The Alpha Omega dynamo scheme Combining the 2 effects lead to the Alpha Omega Dynamo Omega effect Bpoloidal Btoroidal Alpha effect
  • 16. Conclusion  The study of the sunspots has began long time ago but we still have some questions about predictions of the magnitude of the sunspots , the depth and how the energy is transported to the surface of the sun .  A lot of models have been proposed but none of them is accepted by all astronomers .  These small sunspots have still long story ...
  • 17. Questions ?  Thank you for your attention
  • 18. Bibliographies & web link  http://www.iki.rssi.ru/mirrors/stern/earthmag/dynam os_fr.html  http://mpimichelet.free.fr/faraday.html  http://solarscience.msfc.nasa.gov/dynamo.shtml  http://www.ikonet.com  http://enslyon.free.fr/rapports/physique/Pierre_Augie r_2.pdf  http://www.emse.fr/~bouchardon  http://baudolino.free.fr  http://www.asc-csa.gc.ca  http://en.wikipedia.org/wiki/Sun