Theoretical analysis of conjugated heat transfer with a single domain formulation and integral transforms

Mass transfer simulation of biodiesel synthesis in microreactors

“…The GITT has been successfully applied to various classes of nonlinear convection-diffusion problems and is fully documented in different sources (Cotta, 1990;Serfaty and Cotta, 1990;Cotta, 1993;Cotta, 1994;Cotta and Mikhailov, 2006;Ribeiro et al, 2002;Knupp et al, 2012;Knupp et al, 2014).…”

“…This approach combines analytical eigenfunction expansions with the numerical solution of the ordinary differential equations for the integral transformed potentials. It has been previously employed in the analysis of transport phenomena in reactive flows (Ribeiro et al, 2002), as well as in the analysis of heat transfer within microfluidic devices (Knupp et al, 2012;Knupp et al, 2014).…”

Direct and inverse analysis of diffusive logistic population evolution with time delay and impulsive culling via integral transforms and hybrid optimization

“…This procedure is presented in details in Refs. [34,35]. The integral transformation of the original problem is achieved operating on Eq.…”

Heat Transfer in Microchannels with Upstream–Downstream Regions Coupling and Wall Conjugation Effects

“…Recently, the reformulation of conjugated conduction-convection problems as a single-region model has been proposed, accounting for the local heat transfer at both the fluid flow and the channel wall regions [14]. By making use of coefficients represented as space-variable functions, with abrupt transitions occurring at the fluid-wall interfaces, the mathematical model incorporates the information concerning the two original domains of the problem.…”