|
|
|
||
Heat sources in the Earth. Basic equations of thermal convection. Thermal convection as a nonlinear dynamic
system. Thermal models of the Earth. Radioactivity of the rocks, radiometric dating.
Last update: T_KG (09.05.2013)
|
|
||
Understanding general principles of heat transport in continuum and application on thermal models of the Earth. Students will learn basic equations describing mantle flow and methods of their solution. Last update: Čížková Hana, doc. RNDr., Ph.D. (20.11.2013)
|
|
||
Zápočet bude udělen na základě předložení písemné zprávy o výsledcích zadaných počítačových cvičení. Last update: Čížková Hana, doc. RNDr., Ph.D. (06.10.2017)
|
|
||
Last update: T_KG (09.05.2013)
|
|
||
Lecture + exercises Last update: T_KG (09.05.2013)
|
|
||
Zkouška je ústní, požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce. Last update: Čížková Hana, doc. RNDr., Ph.D. (06.10.2017)
|
|
||
Heat transport in continuum
Basic equations - mass, momentum and energy conservation, rheology, state equation, boundary conditions. Individual terms of heat equation (temperature changes, heat conduction and advection, adiabatic heating/cooling, viscous dissipation, heat sources). Thermal convection in the Earth mantle Boussinesq approximation of basic equations. Dimensionless equations; Prandtl, Rayleigh and dissipation numbers. Boundary conditions. Static solution. Two-dimensional problem - stream function. Basic characteristics of thermal convection Linearised theory - onset of convection. Style of convection as a function of Rayleigh number. Effects of internal heating, rheology, phase transitions and compressibility. Chaos. Parameters of heat equation Thermal capacity and diffusivity, density, heat sources. Heat flux through the Earth surface. Temperature in the mantle and core Adiabatic gradient, estimates of mantle temperature. Iron melting temperature and inner-core boundary temperature. Temperature jump across the D“. Hotspots Distribution, origin. Interaction with the lithospheric plates. Reference system. Thermal models of oceanic lithosphere Half-space model. Analytical solution, surface heat flux, ocean depth. Heat released in subduction zones. Earth radiactivity and geochronology Alfa-, beta- and k-decay; P, Rb, Ar-methods; radiocarbon dating; age of the Earth. Cooling of the Earth Parameterised convection, scaling relations. Solution of the heat equation with decaying radiogenic heat sources. Last update: T_KG (09.05.2013)
|