Heat and fluid flow characteristics of gases in micropipes

Comprehensive Analysis of Convective Heat Transfer in Parallel Plate Microchannel with Viscous Dissipation and Constant Heat Flux Boundary Conditions

“…(10)(11) and expressed as the function of Knudsen number (Kn), heat flux ratio (q 2 /q 1 ) and modified Brinkman number…”

“…The authors usually considered either a constant heat flux boundary condition or an isothermal condition to analyze the heat transfer characteristics of gaseous flows in various geometries such as: parallel plate microchannels and micropipe. In addition to the effect of rarefaction [10][11][12][13][14], various issues such as: viscous dissipation [15][16][17][18][19][20], axial conduction [21,22], thermal creep [23,24], compressibility [25][26][27][28], shear work [29][30][31], roughness [32,33], fluid property variation [34,35], and thermal boundary conditions affect the heat transfer characteristics of gaseous flows in microdevices. However, it is observed that viscous dissipation acts as an internal heat source in the fluid and significantly affects the temperature field and subsequently the Nusselt Number.…”

“…The combined effect of viscous dissipation and rarefaction on the heat transfer characteristics of gaseous flows through various microgeometries have been reported by employing analytical and numerical techniques. The effect of viscous heating is found to increase linearly with the increase in Brinkman number and decreases nonlinearly with the increase in Knudsen number [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The effect of axial conduction is usually defined by Peclet number and it is found to affect the convective heat transfer.…”

Heat Transfer at Microscale

“…Some theoretical studies has been undertaken to investigate viscous dissipation effects on the heat transfer features of the gas flow in microchannels of different cross section such as circular channel (Aydin and Avci, 2006), parallel plate and annular channel , and rectangular channel (Rij et al, 2009). …”

Slug flow heat transfer in a semi‐infinite microtube with temperature jump wall condition

“…The effects of rarefaction and surface accommodation coefficient on slip-flow heat transfer were studied by Chen [5] for a microchannel and by Larrode et al [9] for a microtube. Aydin and Avci obtained an analytical solution to laminar forced convection in a microchannel [6] and in a microtube [12,13] under constant wall temperature and constant wall heat flux boundary conditions, considering the viscous dissipation effect. Barron et al [7] extended the Graetz problem to slip-flow regime for constant wall temperature condition and solved the energy equation by power series method.…”