Maximum mechanical work from the steady energy circulation on a finite body

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Entropy, Fluid Dynamics, Kinetic Energy, Planetary Atmospheres, Radiative Heat Transfer, Statistical Mechanics, Boundary Conditions, Boundary Value Problems, Heat Balance, Nonlinear Equations, Solar Heating, Solar Radiation, Steady Flow, Work

Scientific paper

Fluid dynamic energy and entropy equations are analyzed in order to determine the maximum mechanical work extractable from a system where field velocity, temperature and density occupy a finite domain, as exemplified by a planetary body. The concept of the maximum mechanical work that can be extracted from a unit volume belonging to a fluid-dynamic system is formulated in terms of Fourier-Carnot and Newton-Carnot powers, and applied to the system represented by a planet powered by solar radiation. Such a system is described by the energy equation with radiative boundary conditions in cylindrical and spherical geometry, with a homogeneous conductivity distribution and with the presence of liquid and gas taken into account. The entropy balances for various types of physical systems are also examined.

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