Hear Essay

613 words - 3 pages

Laminar flow and convective heat transfer of water/alumina nanofluid inside horizontal annuli with a streamwise moving inner cylinder are investigated theoretically. Employed model for alumina/water nanofluid is the modified two-component four-equation non-homogeneous equilibrium model that fully accounts for the effects of nanoparticles volume fraction distribution. Aiming to consider the effects of thermal boundary conditions on nanoparticles migration, two cases including constant heat flux at the outer wall and insulated inner wall (Case A) and constant heat flux at the inner wall with insulated outer wall (Case B) have been considered. The numerical results obtained indicated that the thermal boundary conditions at the pipe walls are significantly affecting the nanoparticle volume fraction distribution particularly in the cases where the ratio of Brownian motion to thermophoretic diffusivities is small. Moreover, increasing the velocity of the moving inner cylinder reduce the heat transfer rate for case A. In this case nanoparticles migration has negative effects on the performance of the heat transfer system as it decreases the heat transfer rate. In contrast, in case B, movement of the inner cylinder enhance the heat transfer rate and anomalous heat transfer enhancement take place when the thermophoretic force is dominant (larger nanoparticles).

Nanoparticles volume fraction distribution developed under the mutual effects of thermophoretic and Brownian motion forces. The direction of Brownian motion is towards reducing the concentration gradients while that of thermophoretic is towards increasing them, balancing each other. Once the nanoparticles concentration gradient is developed by the thermophoretic force, Brownian force tends to counterbalance the former effect. Since the nanofluid viscosity and its thermal conductivity are affected by the nanoparticle concentration, flow and thermal fields must be affected as well. Here, the nanoparticles migration for alumina/water nanofluid flow inside concentric annuli with a streamwise moving inner...

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