Abstract
I have proposed that the precessional torques acting on the earth can sustain a turbulent hydromagnetic flow in the molten core. A gross balance of the Coriolis force, the Lorentz force, and the precessional force in the core fluid provided estimates of the fluid velocity and the interior magnetic field characteristic of such flow. Then these numbers and a balance of the processes responsible for the decay and regeneration of the magnetic field provided an estimate of the magnetic field external to the core. This external field is in keeping with the observations, but its value is dependent upon the speculative value for the electrical conductivity of core material. The proposal that turbulent flow due to precession can occur in the core was tested in a study of nonmagnetic laboratory flows induced by the steady precession of fluid-filled rotating spheroids. It was found that these flows exhibit both small wavelike instabilities and violent finite-amplitude instability to turbulent motion above critical values of the precession rate. The observed critical parameters indicate that a laminar flow in the core, due to the earth's precession, would have weak hydrodynamic instabilities at most, but that finite-amplitude hydromagnetic instability could lead to fully turbulent flow.
References
26
Referenced
375
-
BACKUS, G.E., A CLASS OF SELF-SUSTAINING DISSIPATIVE SPHERICAL DYNAMOS, ANNALS OF PHYSICS 4: 372 (1958).
(
10.1016/0003-4916(58)90054-X
) / ANNALS OF PHYSICS (1958) -
BONDI, H, PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 49: 498 (1953).
(
10.1017/S030500410002867X
) / PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY (1953) - Bullard, E., The Earth as a Planet: CH3 (1954). / The Earth as a Planet (1954)
- Bullard, E. C., Monthly Notices of the Royal Astronomical Society 5: 248 (1948). / Monthly Notices of the Royal Astronomical Society (1948)
- Busse, F. H., Journal of Fluid Mechanics 46: 149 (1967). / Journal of Fluid Mechanics (1967)
-
COWLING, T. G., MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 94: 39 (1933).
(
10.1093/mnras/94.1.39
) / MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (1933) -
ELSASSER, W.M., On the origin of the earth's magnetic field, PHYSICAL REVIEW 55: 489 (1939).
(
10.1103/PhysRev.55.489
) / PHYSICAL REVIEW (1939) -
ELSASSER, W.M., THE EARTHS INTERIOR AND GEOMAGNETISM, REVIEWS OF MODERN PHYSICS 22: 1 (1950).
(
10.1103/RevModPhys.22.1
) / REVIEWS OF MODERN PHYSICS (1950) -
GREENSPAN, H.P., ON GENERAL THEORY OF CONTAINED ROTATING FLUID MOTIONS, JOURNAL OF FLUID MECHANICS 22: 449 (1965).
(
10.1017/S0022112065000897
) / JOURNAL OF FLUID MECHANICS (1965) - HERZENBERG, A, GEOMAGNETIC DYNAMOS, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES 250: 543 (1958). / PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES (1958)
- HIDE, R, FREE HYDROMAGNETIC OSCILLATIONS OF EARTHS CORE AND THEORY OF GEOMAGNETIC SECULAR VARIATION, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES 259: 615 (1966). / PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES (1966)
- Hide, R., Physics and Chemistry of the Earth: CH4 (1961). / Physics and Chemistry of the Earth (1961)
10.1126/science.157.3784.55
-
HOUGH, S.S., PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON 186: 469 (1895).
(
10.1098/rsta.1895.0012
) / PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON (1895) - Jones, H. S., The Earth as a Planet: CH1 (1954). / The Earth as a Planet (1954)
- MacDonald, G. J. F., Advances in Earth Science: CH4 (1966). / Advances in Earth Science (1966)
-
MALKUS, WVR, MAGNETOCONVECTION IN A VISCOUS FLUID OF INFINITE ELECTRICAL CONDUCTIVITY, ASTROPHYSICAL JOURNAL 130: 259 (1959).
(
10.1086/146714
) / ASTROPHYSICAL JOURNAL (1959) -
MALKUS, WVR, HYDROMAGNETIC PLANETARY WAVES, JOURNAL OF FLUID MECHANICS 28: 793 (1967).
(
10.1017/S0022112067002447
) / JOURNAL OF FLUID MECHANICS (1967) -
MALKUS, W. V. R., JOURNAL OF GEOPHYSICAL RESEARCH 68: 2871 (1963).
(
10.1029/JZ068i010p02871
) / JOURNAL OF GEOPHYSICAL RESEARCH (1963) - MALKUS, WVR, PROCEEDINGS OF SYMPOSIA IN APPLIED MATHEMATICS 18: 63 (1967). / PROCEEDINGS OF SYMPOSIA IN APPLIED MATHEMATICS (1967)
-
POINCARE H BULLETIN ASTRONOMIQUE 1 27 : 321 (1910).
(
10.3406/bastr.1910.12831
) -
ROBERTS, P.H., ON STABILITY OF A MACLAURIN SPHEROID OF SMALL VISCOSITY, ASTROPHYSICAL JOURNAL 137: 777 (1963).
(
10.1086/147555
) / ASTROPHYSICAL JOURNAL (1963) -
STEWARTSON, K, ON THE MOTION OF A LIQUID IN A SPHEROIDAL CAVITY OF A PRECESSING RIGID BODY, JOURNAL OF FLUID MECHANICS 17: 1 (1963).
(
10.1017/S0022112063001063
) / JOURNAL OF FLUID MECHANICS (1963) -
VERHOOGEN, J, HEAT BALANCE OF THE EARTHS CORE, GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY 4: 276 (1961).
(
10.1111/j.1365-246X.1961.tb06819.x
) / GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY (1961) -
VERONIS, G, CELLULAR CONVECTION WITH FINITE AMPLITUDE IN A ROTATING FLUID, JOURNAL OF FLUID MECHANICS 5: 401 (1959).
(
10.1017/S0022112059000283
) / JOURNAL OF FLUID MECHANICS (1959) -
Vestine, E. H., Journal of Geophysical Research 72: 4927 (1967).
(
10.1029/JZ072i019p04927
) / Journal of Geophysical Research (1967)
Dates
Type | When |
---|---|
Created | 18 years, 10 months ago (Oct. 5, 2006, 7:50 a.m.) |
Deposited | 1 year, 7 months ago (Jan. 11, 2024, 3:48 a.m.) |
Indexed | 6 days, 13 hours ago (Aug. 26, 2025, 3:13 a.m.) |
Issued | 57 years, 4 months ago (April 19, 1968) |
Published | 57 years, 4 months ago (April 19, 1968) |
Published Print | 57 years, 4 months ago (April 19, 1968) |
@article{Malkus_1968, title={Precession of the Earth as the Cause of Geomagnetism: Experiments lend support to the proposal that precessional torques drive the earth’s dynamo}, volume={160}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.160.3825.259}, DOI={10.1126/science.160.3825.259}, number={3825}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Malkus, W. V. R.}, year={1968}, month=apr, pages={259–264} }