The document discusses the history and development of dynamo theory, which proposes that celestial bodies like Earth and stars generate magnetic fields through convection currents in their electrically conductive fluids. It describes how early scientists like William Gilbert and Joseph Larmor contributed to establishing dynamo theory. Key aspects of the theory are explained, including how convection in Earth's liquid outer core maintains its magnetic field against decay. Numerical modeling continues to refine understanding of the geodynamo and solar dynamo.
PHY 1301, Physics I 1 Course Learning Outcomes forajoy21
PHY 1301, Physics I 1
Course Learning Outcomes for Unit VII
Upon completion of this unit, students should be able to:
7. Describe fundamental thermodynamic concepts.
7.1 Explain the various heat transfer mechanisms with practical examples.
7.2 Recognize the ideal gas law and apply it to daily life.
7.3 Describe the relationship between kinetic energy and the Kelvin temperature.
Course/Unit
Learning Outcomes
Learning Activity
7.1
Unit Lesson
Chapter 13
Chapter 14
Unit VII PowerPoint Presentation
7.2
Unit Lesson
Chapter 13
Chapter 14
Unit VII PowerPoint Presentation
7.3
Unit Lesson
Chapter 13
Chapter 14
Unit VII PowerPoint Presentation
Required Unit Resources
Chapter 13: The Transfer of Heat, pp. 360–379
Chapter 14: The Ideal Gas Law and Kinetic Theory, pp. 380–400
Unit Lesson
UNIT VII STUDY GUIDE
Heat Mechanism and Kinetic Theory
PHY 1301, Physics I 2
UNIT x STUDY GUIDE
Title
The Three Methods to Transfer Heat
The above image illustrates the three heat transfer methods. The sun heats the Earth by radiation, the
surface of the Earth heats the air by conduction, and the warm air rises by convection.
What is heat? Heat is energy that moves from a high-temperature object to a low-temperature object. Its unit
is the Joule (J), but sometimes it is measured with the kilocalorie (kcal). The conversion factor between the
two units is 1 kcal = 4186 J. The transfer of heat is processed by the following mechanisms.
Conduction is the process in which heat is transferred through a material. The atoms or molecules in a hotter
part of the material have greater energy than those in a colder part of the material, and thus the energy is
transferred from the hotter place to the colder place. Notice that the bulk motion of the material has nothing to
do with this process. You can easily find examples of conduction. A radiator in your house is one of them. If
you put an object on the radiator, the object will become warmer. Another example is when you pour the
brewed hot coffee into a cold cup; the heat from the hot coffee makes the cup itself hot.
The heat Q conducted during a time t through a bar of length L and cross-sectional area A is expressed as
Q = kA (dT) t / L. Here, k is thermal conductivity, and it depends on the substance; dT is the temperature
difference between the higher temperature and the lower temperature of the bar.
Convection is the process in which heat is transferred by the bulk motion of a fluid. According to the ideal gas
law for constant pressure, the volume (V) is proportional to the temperature (T). V increases as T increases,
and the density decreases within the constant mass. Warm air rises and cooler air goes down; this circulation
makes the energy transported. The generated energy from the center of the sun is transported by convection
near the photosphere. Cool gas sinks while bubbles of hot gas rise. There is a patchwork patte ...
This is an introduction to modern quantum mechanics – albeit for those already familiar with vector calculus and modern physics – based on my personal understanding of the subject that emphasizes the concepts from first principles. Nothing of this is new or even developed first hand but the content (or maybe its clarity) is original in the fact that it displays an abridged yet concise and straightforward mathematical development that provides for a solid foundation in the tools and techniques to better understand and have a good appreciation for the physics involved in quantum theory and in an atom!
GIS,Electron,Electromagnetic energy,radiation,Orbit,Types of OrbitThomas Ayalew
hI what can I prefer is to share my knowledge with who are positive person of the knowledge as well in return I have learn new knowledge from them to help my poor community so please let us work together!
Magma oceans and enhanced volcanism on TRAPPIST-1 planets due to induction he...Sérgio Sacani
Low-mass M stars are plentiful in the Universe and often host small, rocky planets detectable with current instrumentation.
These stars host magnetic fields, some of which have been observed to exceed a few hundred gauss. Recently, seven small
planets have been discovered orbiting the ultra-cool M dwarf TRAPPIST-1, which has an observed magnetic field of 600 G. We
suggest electromagnetic induction heating as an energy source inside these planets. If the stellar rotation and magnetic dipole
axes are inclined with respect to each other, induction heating can melt the upper mantle and enormously increase volcanic
activity, sometimes producing a magma ocean below the planetary surface. We show that induction heating leads the four
innermost TRAPPIST-1 planets, one of which is in the habitable zone, either to evolve towards a molten mantle planet, or to
experience increased outgassing and volcanic activity, while the three outermost planets remain mostly unaffected.
PHY 1301, Physics I 1 Course Learning Outcomes forajoy21
PHY 1301, Physics I 1
Course Learning Outcomes for Unit VII
Upon completion of this unit, students should be able to:
7. Describe fundamental thermodynamic concepts.
7.1 Explain the various heat transfer mechanisms with practical examples.
7.2 Recognize the ideal gas law and apply it to daily life.
7.3 Describe the relationship between kinetic energy and the Kelvin temperature.
Course/Unit
Learning Outcomes
Learning Activity
7.1
Unit Lesson
Chapter 13
Chapter 14
Unit VII PowerPoint Presentation
7.2
Unit Lesson
Chapter 13
Chapter 14
Unit VII PowerPoint Presentation
7.3
Unit Lesson
Chapter 13
Chapter 14
Unit VII PowerPoint Presentation
Required Unit Resources
Chapter 13: The Transfer of Heat, pp. 360–379
Chapter 14: The Ideal Gas Law and Kinetic Theory, pp. 380–400
Unit Lesson
UNIT VII STUDY GUIDE
Heat Mechanism and Kinetic Theory
PHY 1301, Physics I 2
UNIT x STUDY GUIDE
Title
The Three Methods to Transfer Heat
The above image illustrates the three heat transfer methods. The sun heats the Earth by radiation, the
surface of the Earth heats the air by conduction, and the warm air rises by convection.
What is heat? Heat is energy that moves from a high-temperature object to a low-temperature object. Its unit
is the Joule (J), but sometimes it is measured with the kilocalorie (kcal). The conversion factor between the
two units is 1 kcal = 4186 J. The transfer of heat is processed by the following mechanisms.
Conduction is the process in which heat is transferred through a material. The atoms or molecules in a hotter
part of the material have greater energy than those in a colder part of the material, and thus the energy is
transferred from the hotter place to the colder place. Notice that the bulk motion of the material has nothing to
do with this process. You can easily find examples of conduction. A radiator in your house is one of them. If
you put an object on the radiator, the object will become warmer. Another example is when you pour the
brewed hot coffee into a cold cup; the heat from the hot coffee makes the cup itself hot.
The heat Q conducted during a time t through a bar of length L and cross-sectional area A is expressed as
Q = kA (dT) t / L. Here, k is thermal conductivity, and it depends on the substance; dT is the temperature
difference between the higher temperature and the lower temperature of the bar.
Convection is the process in which heat is transferred by the bulk motion of a fluid. According to the ideal gas
law for constant pressure, the volume (V) is proportional to the temperature (T). V increases as T increases,
and the density decreases within the constant mass. Warm air rises and cooler air goes down; this circulation
makes the energy transported. The generated energy from the center of the sun is transported by convection
near the photosphere. Cool gas sinks while bubbles of hot gas rise. There is a patchwork patte ...
This is an introduction to modern quantum mechanics – albeit for those already familiar with vector calculus and modern physics – based on my personal understanding of the subject that emphasizes the concepts from first principles. Nothing of this is new or even developed first hand but the content (or maybe its clarity) is original in the fact that it displays an abridged yet concise and straightforward mathematical development that provides for a solid foundation in the tools and techniques to better understand and have a good appreciation for the physics involved in quantum theory and in an atom!
GIS,Electron,Electromagnetic energy,radiation,Orbit,Types of OrbitThomas Ayalew
hI what can I prefer is to share my knowledge with who are positive person of the knowledge as well in return I have learn new knowledge from them to help my poor community so please let us work together!
Magma oceans and enhanced volcanism on TRAPPIST-1 planets due to induction he...Sérgio Sacani
Low-mass M stars are plentiful in the Universe and often host small, rocky planets detectable with current instrumentation.
These stars host magnetic fields, some of which have been observed to exceed a few hundred gauss. Recently, seven small
planets have been discovered orbiting the ultra-cool M dwarf TRAPPIST-1, which has an observed magnetic field of 600 G. We
suggest electromagnetic induction heating as an energy source inside these planets. If the stellar rotation and magnetic dipole
axes are inclined with respect to each other, induction heating can melt the upper mantle and enormously increase volcanic
activity, sometimes producing a magma ocean below the planetary surface. We show that induction heating leads the four
innermost TRAPPIST-1 planets, one of which is in the habitable zone, either to evolve towards a molten mantle planet, or to
experience increased outgassing and volcanic activity, while the three outermost planets remain mostly unaffected.
What Does the PARKTRONIC Inoperative, See Owner's Manual Message Mean for You...Autohaus Service and Sales
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𝘼𝙣𝙩𝙞𝙦𝙪𝙚 𝙋𝙡𝙖𝙨𝙩𝙞𝙘 𝙏𝙧𝙖𝙙𝙚𝙧𝙨 𝙞𝙨 𝙫𝙚𝙧𝙮 𝙛𝙖𝙢𝙤𝙪𝙨 𝙛𝙤𝙧 𝙢𝙖𝙣𝙪𝙛𝙖𝙘𝙩𝙪𝙧𝙞𝙣𝙜 𝙩𝙝𝙚𝙞𝙧 𝙥𝙧𝙤𝙙𝙪𝙘𝙩𝙨. 𝙒𝙚 𝙝𝙖𝙫𝙚 𝙖𝙡𝙡 𝙩𝙝𝙚 𝙥𝙡𝙖𝙨𝙩𝙞𝙘 𝙜𝙧𝙖𝙣𝙪𝙡𝙚𝙨 𝙪𝙨𝙚𝙙 𝙞𝙣 𝙖𝙪𝙩𝙤𝙢𝙤𝙩𝙞𝙫𝙚 𝙖𝙣𝙙 𝙖𝙪𝙩𝙤 𝙥𝙖𝙧𝙩𝙨 𝙖𝙣𝙙 𝙖𝙡𝙡 𝙩𝙝𝙚 𝙛𝙖𝙢𝙤𝙪𝙨 𝙘𝙤𝙢𝙥𝙖𝙣𝙞𝙚𝙨 𝙗𝙪𝙮 𝙩𝙝𝙚 𝙜𝙧𝙖𝙣𝙪𝙡𝙚𝙨 𝙛𝙧𝙤𝙢 𝙪𝙨.
Over the 10 years, we have gained a strong foothold in the market due to our range's high quality, competitive prices, and time-lined delivery schedules.
Symptoms like intermittent starting and key recognition errors signal potential problems with your Mercedes’ EIS. Use diagnostic steps like error code checks and spare key tests. Professional diagnosis and solutions like EIS replacement ensure safe driving. Consult a qualified technician for accurate diagnosis and repair.
Fleet management these days is next to impossible without connected vehicle solutions. Why? Well, fleet trackers and accompanying connected vehicle management solutions tend to offer quite a few hard-to-ignore benefits to fleet managers and businesses alike. Let’s check them out!
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1. Dynamo theory 1
Dynamo theory
In geophysics, dynamo theory proposes a mechanism by which a celestial body such as the Earth or a star generates
a magnetic field. The theory describes the process through which a rotating, convecting, and electrically conducting
fluid can maintain a magnetic field over astronomical time scales.
History of theory
When William Gilbert published de Magnete in 1600, he concluded that the Earth is magnetic and proposed the first
theory for the origin of this magnetism: permanent magnetism such as that found in lodestone. In 1919, Joseph
Larmor proposed that a dynamo might be generating the field.
[1] [2]
However, even after he advanced his theory,
some prominent scientists advanced alternate theories. Einstein, believed that there might be an asymmetry between
the charges of the electron and proton so that the Earth's magnetic field would be produced by the entire Earth. The
Nobel Prize winner Patrick Blackett did a series of experiments looking for a fundamental relation between angular
momentum and magnetic moment, but found none.
[3] [4]
Walter M. Elsasser, considered a "father" of the presently accepted dynamo theory as an explanation of the Earth's
magnetism, proposed that this magnetic field resulted from electric currents induced in the fluid outer core of the
Earth. He revealed the history of the Earth's magnetic field through pioneering the study of the magnetic orientation
of minerals in rocks.
In order to maintain the magnetic field against ohmic decay (which would occur for the dipole field in 20,000 years)
the outer core must be convecting. The convection is likely some combination of thermal and compositional
convection. The mantle controls the rate at which heat is extracted from the core. Heat sources include gravitational
energy released by the compression of the core, gravitational energy released by the rejection of light elements
(probably sulfur, oxygen, or silicon) at the inner core boundary as it grows, latent heat of crystallization at the inner
core boundary, and radioactivity of potassium, uranium and thorium.
[5]
At the dawn of the 21st century, numerical modeling of the Earth's magnetic field has not been successfully
demonstrated, but appears to be in reach. Initial models are focused on field generation by convection in the planet's
fluid outer core. It was possible to show the generation of a strong, Earth-like field when the model assumed a
uniform core-surface temperature and exceptionally high viscosities for the core fluid. Computations which
incorporated more realistic parameter values yielded magnetic fields that were less Earth-like, but also point the way
to model refinements which may ultimately lead to an accurate analytic model. Slight variations in the core-surface
temperature, in the range of a few millikelvins, result in significant increases in convective flow and produce more
realistic magnetic fields.
[6] [7]
Formal definition
Dynamo theory describes the process through which a rotating, convecting, and electrically conducting fluid acts to
maintain a magnetic field. This theory is used to explain the presence of anomalously long-lived magnetic fields in
astrophysical bodies. The conductive fluid in the geodynamo is liquid iron in the outer core, and in the solar dynamo
is ionized gas at the tachocline. Dynamo theory of astrophysical bodies uses magnetohydrodynamic equations to
investigate how the fluid can continuously regenerate the magnetic field.
It was actually once believed that the dipole, which comprises much of the Earth's magnetic field and is misaligned
along the rotation axis by 11.3 degrees, was caused by permanent magnetization of the materials in the earth. This
means that dynamo theory was originally used to explain the Sun's magnetic field in its relationship with that of the
Earth. However, this theory, which was initially proposed by Joseph Larmor in 1919, has been modified due to
extensive studies of magnetic secular variation, paleomagnetism (including polarity reversals), seismology, and the
solar system's abundance of elements. Also, the application of the theories of Carl Friedrich Gauss to magnetic
2. Dynamo theory 2
observations showed that Earth's magnetic field had an internal, rather than external, origin.
There are three requisites for a dynamo to operate:
• An electrically conductive fluid medium
• Kinetic energy provided by planetary rotation
• An internal energy source to drive convective motions within the fluid.
[8]
In the case of the Earth, the magnetic field is induced and constantly maintained by the convection of liquid iron in
the outer core. A requirement for the induction of field is a rotating fluid. Rotation in the outer core is supplied by
the Coriolis effect caused by the rotation of the Earth. The coriolis force tends to organize fluid motions and electric
currents into columns (also see Taylor columns) aligned with the rotation axis. Induction or creation of magnetic
field is described by the induction equation:
where u is velocity, B is magnetic field, t is time, and is the magnetic diffusivity with electrical
conductivity and permeability. The ratio of the second term on the right hand side to the first term gives the
Magnetic Reynolds number, a dimensionless ratio of advection of magnetic field to diffusion.
Kinematic dynamo theory
In kinematic dynamo theory the velocity field is prescribed, instead of being a dynamic variable. This method cannot
provide the time variable behavior of a fully nonlinear chaotic dynamo but is useful in studying how magnetic field
strength varies with the flow structure and speed.
Using Maxwell's equations simultaneously with the curl of Ohm's Law, one can derive what is basically the linear
eigenvalue equation for magnetic fields (B) which can be done when assuming that the magnetic field is independent
from the velocity field. One arrives at a critical magnetic Reynolds number above which the flow strength is
sufficient to amplify the imposed magnetic field, and below which it decays.
The most functional feature of kinematic dynamo theory is that it can be used to test whether a velocity field is or is
not capable of dynamo action. By applying a certain velocity field to a small magnetic field, it can be determined
through observation whether the magnetic field tends to grow or not in reaction to the applied flow. If the magnetic
field does grow, then the system is either capable of dynamo action or is a dynamo, but if the magnetic field does not
grow, then it is simply referred to as non-dynamo.
The membrane paradigm is a way of looking at black holes that allows for the material near their surfaces to be
expressed in the language of dynamo theory.
Nonlinear dynamo theory
The kinematic approximation becomes invalid when the magnetic field becomes strong enough to affect the fluid
motions. In that case the velocity field becomes affected by the Lorentz force, and so the induction equation is no
longer linear in the magnetic field. In most cases this leads to a quenching of the amplitude of the dynamo. Such
dynamos are sometimes also referred to as hydromagnetic dynamos
[9]
. Virtually all dynamos in astrophysics and
geophysics are hydromagnetic dynamos.
Numerical models are used to simulate fully nonlinear dynamos. A minimum of 5 equations are needed. They are as
follows. The induction equation, see above. Maxwell's equation:
The (sometimes) Boussinesq conservation of mass:
The (sometimes) Boussinesq conservation of momentum, also known as the Navier-Stokes equation:
3. Dynamo theory 3
where is the kinematic viscosity, is the density perturbation that provides buoyancy (for thermal convection
, is the rotation rate of the Earth, and is the electrical current density.
Finally, a transport equation, usually of heat (sometimes of light element concentration):
where T is temperature, is the thermal diffusivity with k thermal conductivity, heat capacity, and
density, and is an optional heat source. Often the pressure is the dynamic pressure, with the hydrostatic pressure
and centripetal potential removed. These equations are then non-dimensionalized, introducing the non-dimensional
parameters,
where Ra is the Rayleigh number, E the Ekman number, Pr and Pm the Prandtl and magnetic Prandtl number.
Magnetic field scaling is often in Elsasser number units .
References
[1] Larmor, J. (1919). "How could a rotating body such as the Sun become a magnet?". Reports of the British Association 87: 159–160.
[2] Larmor, J. (1919). "Possible rotational origin of magnetic fields of sun and earth". Electrical Review 85: 412ff. Reprinted in Engineering, vol.
108, pages 461ff (3 October 1919).
[3] Nye, Mary Jo (1 March 1999). "Temptations of theory, strategies of evidence: P. M. S. Blackett and the earth's magnetism, 1947–52". The
British Journal for the History of Science 32 (1): 69–92. doi:10.1017/S0007087498003495.
[4] Merrill, McElhinny & McFadden 1996, page 17 claim that in 1905, shortly after composing his special relativity paper, Albert Einstein
described the origin of the Earth's magnetic field as being one of the great unsolved problems facing modern physicists. However, they do not
provide details on where he made this statement.
[5] Sanders, Robert (2003-12-10). "Radioactive potassium may be major heat source in Earth's core" (http://www.berkeley.edu/news/media/
releases/2003/12/10_heat.shtml). UC Berkeley News. . Retrieved 2007-02-28.
[6] Sakuraba, Ataru; Paul H. Roberts (4 October 2009). "Generation of a strong magnetic field using uniform heat flux at the surface of the core".
Nature Geoscience (Nature Publishing Group) 2 (11): 802–805. Bibcode 2009NatGe...2..802S. doi:10.1038/ngeo643.
[7] Buffett, Bruce (2009). "Geodynamo: A matter of boundaries". Nature Geoscience (Nature Publishing Group) 2 (2): 741–742.
Bibcode 2009NatGe...2..741B. doi:10.1038/ngeo673.
[8] E. Pallé (2010). The Earth as a Distant Planet: A Rosetta Stone for the Search of Earth-Like Worlds (Astronomy and Astrophysics Library)
(http://books.google.com/books?id=qLuVCJtRTV0C&pg=PA316&dq=the+dynamo+theory+holds+that#v=onepage&q=the dynamo
theory holds that&f=false). Berlin: Springer. pp. 316–317. ISBN 1-4419-1683-0. . Retrieved 17 july 2010.
[9] http://www.scholarpedia.org/article/Hydromagnetic_Dynamo_Theory
• Demorest, Paul (21 May 2001). "Dynamo Theory and Earth's magnetic Field (term paper)" (http://setiathome.
berkeley.edu/~pauld/etc/210BPaper.pdf) (pdf). Retrieved 14 October 2011.
• Fitzpatrick, Richard (18 May 2002). "MHD Dynamo Theory" (http://farside.ph.utexas.edu/teaching/plasma/
lectures/node70.html). Plasma Physics. University of Texas at Austin. Retrieved 14 October 2011.
• Merrill, Ronald T.; McElhinny, Michael W.; McFadden, Phillip L. (1996). The magnetic field of the earth:
Paleomagnetism, the core, and the deep mantle. Academic Press. ISBN 978-0124912465.
• Stern, David P.. "Chapter 12: The dynamo process" (http://www.phy6.org/earthmag/dynamos.htm). The
Great Magnet, the Earth. Retrieved 14 October 2011.
• Stern, David P.. "Chapter 13: Dynamo in the Earth's Core" (http://www.phy6.org/earthmag/dynamos2.htm).
The Great Magnet, the Earth. Retrieved 14 October 2011.
4. Article Sources and Contributors 4
Article Sources and Contributors
Dynamo theory Source: http://en.wikipedia.org/w/index.php?oldid=463857997 Contributors: AdjustShift, Art Carlson, AxelBrandenburg, Brianwelsch, Bucephalus, Can't sleep, clown will eat
me, Capricorn42, Chetvorno, Cogiati, Cophus, Coppertwig, Craigheinke, Cwkmail, D.H, DAEdgerley Ph.D., David Gerard, Davidjonsson, Dekker451, Dirac1933, DonaldET3, Drenaline,
Duncan.france, Dvavasour, Everyking, Exit2DOS2000, Fox53, Gene Nygaard, Geollama, GregorB, Hurricane111, IVAN3MAN, Icep, JHMM13, James McBride, Jar mes, Jbmendelson, Joriki,
Julia431, KnightRider, Magioladitis, Mandarax, Marshallsumter, Marvin Herndon, Michael Hardy, Midnightcomm, Miken32, Netheril96, Niteowlneils, Omnipaedista, Onco p53, Onorem, Paisa,
Pederony, Physicistjedi, Pinethicket, Pizza Puzzle, QuantumCyclops, Quoth, Ray Van De Walker, Razimantv, Reddi, Remuel, Richerman, Rjwilmsi, Roadrunner, Robinh, RockMagnetist, SPUI,
Samoojas, Satori Son, Sjakkalle, Skysmith, Spoon!, Steve Quinn, Stevenj, Thutch, Tiles, Tim Starling, Twas Now, Underpants, UnitedStatesian, Veqz, Vsmith, Westsider, Williamborg, Wrs1864,
Xanzzibar, Zaheen, 111 anonymous edits
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