Title: Climate change, in the framework of the Constructal Law
Authors: M. Clausse; F. Meunier; A.H. Reis; A. Bejan
Addresses: Laboratoire de Génie des Procédés pour l'Environnement, l'Energie et la Santé (LGP2ES - EA 21), CNAM, ICENER, case 2D3P20, 292 rue St. Martin, 75141 Paris Cedex 03, France; ESIEE Paris, 2 boulevard Blaise Pascal Cité DESCARTES, BP 99 93162, Noisy le Grand CEDEX, France ' Laboratoire de Génie des Procédés pour l'Environnement, l'Energie et la Santé (LGP2ES - EA 21), CNAM, ICENER, case 2D3P20, 292 rue St. Martin, 75141 Paris Cedex 03, France ' Department of Physics and Evora Geophysics Centre, University of Évora, Ramalho, 59, 7000-67 1 Evora, Portugal ' Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708-0300, USA
Abstract: Here we present a simple and transparent alternative to the complex models of earth's thermal behaviour under time-changing conditions. We show the one-to-one relationship between changes in atmospheric properties and time-dependent changes in temperature and its distribution on earth. The model accounts for convection and radiation, thermal inertia and changes in albedo (ρ) and greenhouse factor (γ). The constructal law is used as the principle that governs the evolution of flow configuration on earth. The model showed that for two time-dependent scenarios, (δρ = 0.002; δγ = 0.011) and (δρ = 0.002; δγ = 0.005) the predicted equatorial and polar temperature increases and the time scales are (ΔTH = 1.16K; ΔTL = 1.11K; 104 years) and (0.41K;0.41K; 57 years), respectively. A continuous model of temperature variation was used to predict the thermal response of the Earth's surface to changes bounded by δρ = δγ and δρ = -δγ. The poleward heat current reaches its maximum in the vicinity of 35° latitude, accounting for the position of the Ferrel cell between the Hadley and Polar Cells.
Keywords: climate change; constructal law; temperature change; modelling; convection; radiation; thermal inertia; albedo; greenhouse factor; temperature variation; flow configuration.
International Journal of Global Warming, 2012 Vol.4 No.3/4, pp.242 - 260
Received: 21 Apr 2012
Accepted: 26 Jun 2012
Published online: 13 Dec 2014 *