Extended Graetz problem accompanied by Dufour and Soret effects

Numerical study of magneto-convective heat and mass transfer from inclined surface with Soret diffusion and heat generation effects: A model for ocean magnetic energy generator fluid dynamics

“…Many other studies have been communicated evaluating the influence of cross-diffusion on double-diffusive boundary layer flows. These include Coelho and Telles [33] who considered the Graetz problem and Bég et al [34] who studied the magnetohydrodynamic Sakiadis flow in a porous medium. Bég et al [35] further investigated the micromorphic transport in a porous medium with cross-diffusion using a variational finite element method.…”

Advanced models of fuel droplet heating and evaporation

“…The two effects occur simultaneously. Both effects are believed to be small in most cases although sometimes their contribution may be significant (see [48][49][50][51][52]). …”

Significance of Rarefaction, Streamwise Conduction, and Viscous Dissipation on the Extended Graetz–Nusselt Problem: The Case of Finite-Length Microchannels with Prescribed Wall Heat Flux

“…Originally proposed for a sudden step change of the wall temperature at some positions along the duct and no axial diffusion, the Graetz-Nusselt problem is valid for both heat and mass transfer. It has been solved in transient and steady-state [11], for Dirichlet and Neumann boundary conditions [12], for different wall shape and curvature [9,13,14], for non-Newtonian fluids [15], and for counterflow streams [16], in the presence of high viscous dissipation [17], axial diffusion [18,19], and simultaneous heat and mass transfer [20,21].…”