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Time Dependent Climate Energy Transfer: The Forgotten Legacy of Joseph Fourier

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Abstract

Joseph Fourier discussed the temperature of the earth in two similar memoires (reviews) in 1824 and 1827. An important and long neglected part of this work is his description of the time dependence of the surface energy transfer. In particular, he was able to explain the seasonal time delays or phase shifts between the peak solar flux and the subsurface temperature response using his theory of heat published in 1822. This is clear evidence for a non-equilibrium thermal response to the solar flux. Diurnal and seasonal phase shifts occur in both the ocean and land temperature records. These phase shifts provide important additional information about the time dependent energy transfer processes that determine the surface temperature. Unfortunately, starting with the work of Pouillet in 1836, this time dependence was neglected and replaced by an equilibrium average climate. It was assumed, incorrectly that the surface temperature could be determined using average values for just the solar and IR flux terms. This approach created CO2 induced global warming as a mathematical artifact in simplistic equilibrium air column model used by Arrhenius in 1896. Physical reality was abandoned in favor of mathematical simplicity. The equilibrium assumption is still the foundation of the fraudulent climate models in use today. The earth is a rotating water planet with an atmosphere that has an IR radiation field. At the surface, the downward LWIR flux from the lower troposphere interacts with the upward LWIR flux from the surface to establish an exchange energy. This limits the net LWIR cooling flux to the emission into the atmospheric LWIR transmission window. In order to dissipate the absorbed solar heat, the surface must warm up so that the excess heat is removed by moist convection (evapotranspiration). The phase shifts occur because it takes time for the heat to flow into and out of the surface layers and change the surface temperature. Over land, the surface heating is localized and almost all of the absorbed solar heat is dissipated within the same diurnal cycle. As the surface cools later in the day, there is a convection transition temperature at which the surface and surface air temperatures equalize. Convection stops and the surface continues to cool more slowly overnight by net LWIR emission. The convection transition temperature is reset each day by the local weather system passing through. Over the oceans, the bulk temperature increases until the excess absorbed solar heat is dissipated by wind driven evaporation (latent heat flux). The upper limit to the ocean surface temperature found in the equatorial warm pools is near 30 °C. In many parts of the world, the prevailing weather systems form over the oceans and then move over land. This couples the ocean surface temperatures to the weather station record through the changes to the convection transition temperature. Both the seasonal phase shift and longer term ocean oscillations are coupled through this process. The dominant term in the global mean temperature record is the Atlantic Multi-decadal Oscillation (AMO). The 1940 AMO peak has long been ignored in the ‘attribution’ of the observed climate warming to CO2. In order to move beyond the pseudoscience of radiative forcings, feedbacks and climate sensitivity to CO2 it is necessary to follow Fourier and restore the time dependence to the surface energy transfer. A change in flux produces a change in the rate of cooling of a thermal reservoir, not a change in temperature.
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