Thermally Developing Flow of Power-Law Non-Newtonian Fluids in Double-Sine Ducts

Analytical Heat and Fluid Flow in Microchannels and Microsystems

“…2.44 Temperature distribution for the aspect ratio case of 2.5 along (a) transversal coordinate Y, at X ¼ 0; and (b) along transversal coordinate X, at Y ¼ 0 transform solution of heat and fluid flow in irregular channels has been dealt with before for laminar flows (Aparecido and Cotta 1987, 1990Barbuto and Cotta 1997;Quaresma et al 2006;Monteiro et al 2010), through direct integral transformation over the irregular domain, based on eigenvalue problems written for the same irregular region. 2.5, that deals with irregular boundaries along the channel length, and Sect.…”

Laminar flow and convective heat transfer of non-Newtonian fluids in doubly connected ducts

“…Within a wider framework, a hybrid analytical-numerical approach has been progressively advanced for the solution of convection-diffusion-type problems defined within irregular domains [21], and applied to the analysis of fully developed laminar flow within ducts of various shapes, such as trapezoidal, triangular, and hexagonal ducts [21][22][23][24], by extending the ideas on the Generalized Integral Transform Technique (GITT), as reviewed by Cotta [24,25] and Cotta and Mikhailov [26]. Laminar flow and heat transfer of Newtonian and non-Newtonian fluids inside irregular ducts of different geometric configurations was also treated in [27][28][29][30][31][32][33], again through extension of the GITT approach, yielding accurate numerical results for quantities of practical interest such as the Fanning friction factor and Nusselt numbers, within a wide range of the governing parameters.…”