Pursuing our work in [18], [17], [20], [5], we consider in this article the two-dimensional thermohydraulics equations. We discretize these equations in time using the implicit Euler scheme and we prove that the global attractors generated by the numerical scheme converge to the global attractor of the continuous system as the time-step approaches zero.

The Boussinesq equation is a mathematics model of thermohydraulics, which consists of equations of fluid and temperature in the Boussinesq approximation.The deterministic case has been studied systematically by many authors (e.g., see [1– 3]). However, in many practical circumstances, small irregularity has to be taken into account.Thus, it is necessary to add to the equation a random force, wh...

The theory of anti-selfdual (ASD) Lagrangians developed in [8] allows a variational resolution for equations of the form Λu+Au+∂φ(u)+f = 0 where φ is a convex lower-semi-continuous function on a reflexive Banach space X, f ∈ X∗, A : D(A) ⊂ X → X∗ is a positive linear operator and where Λ : D(Λ) ⊂ X → X∗ is a non-linear operator that satisfies suitable continuity and anti-symmetry properties. AS...

Abstract This study numerically investigates heat convection and entropy generation in a hybrid nanofluid (Al2O3–Cu–water) flowing around cylinder embedded porous media. An artificial neural network is used for predictive analysis, which numerical data are generated to train an intelligence algorithm optimize the prediction errors. Results show that transfer of system increases when Reynolds nu...

A new composite heat transfer fluid consisting of tetralin and fullerene has been proposed for photovoltaic thermal hybrid solar harvesting. It features a unique absorption spectrum that is capable sharply cutting off energy irradiated in the range wavelength from 300 to 650 nm, making it perfect candidate simultaneous harvesting both components energy. The revealed outstanding stability facile...