The ( p - q) Coupled Fluid-Energy Systems

Luisa Consiglieri ()
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Luisa Consiglieri: University of Lisbon, Department of Mathematics and CMAF, Sciences Faculty

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 177-190 from Springer

Abstract: Abstract We investigate the nonlinear coupled system of elliptic partial differential equations which describes the fluid motion and the energy transfer what we call the ( p - q) coupled fluid-energy system due to p and q coercivity parameters correlated to the motion and heat fluxes, respectively. Due to the simultaneous action of the convective-radiation effects on a part of the boundary, such system leads to a boundary value problem. We present existence results of weak solutions under different constitutive laws for the Cauchy stress tensor with p > 3n/(n + 2), in a n-dimensional space. If the Joule effect is neglected in the energy equation, the existence result is stated for a broader class of fluids such that p > 2n/(n + 1), and related q-coercivity parameter to the heat flux.

Keywords: Non-Newtonian fluids; Cahn-Hilliard equation; Convective-radiative heat transfer; Joule effect; Weak solution; Convex analysis (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04068-9_11

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DOI: 10.1007/978-3-642-04068-9_11

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