Abstract:
In this work, the combined influence of the power-law rheology and isothermal rotating cylinder has been
investigated numerically on the flow and heat transfer characteristics in a T-channel. The cylinder placed at the
T-junction imitates the functioning of a rotating valve which controls the flow rate and the enthalpy distribution
of the exiting streams in two branches. The range of parameters considered in this work is as: Reynolds number,
1 < Re ≤ 50, power-law index, 0.2 ≤ n ≤ 1, Prandtl number, 10 ≤ Pr ≤ 100 and non-dimensional circumferential
velocity of the cylinder, − 5 ≤ α ≤ 5. Results suggest that the rotating cylinder can be used as a technique to
create and/or reduce the formation of momentum and thermal boundary layers in the flow domain. The rotational velocity (α) and power-law flow index (n) are seen to have a strong effect on the critical Reynolds number
for both the main and side branches. The hydrodynamic forces acting over the cylinder surface exerted by the
fluid in the flow and perpendicular to the flow direction show a strong relationship with the cylinder rotation.
For a particular combination of the studied parameters, these forces are also seen to be negative. Further, it is
interesting to note that as the power-law index increases, the flow split ratio decreases while it shows an opposite
trend with the Reynolds number. It can also be varied by switching the rotation direction. The dimensionless
exiting temperature and enthalpy distribution are seen to have a strong relationship with the direction of
rotation, fluid power-law index, Reynolds and Prandtl numbers. The mean values of the Nusselt number are seen
to increase and/or decrease with the rotational velocity. For the anticlockwise rotation, the maximum suppression in the heat transfer is seen to be 79% while 62% for the clockwise rotation for the Newtonian fluid
behaviour at low Prandtl number and high Reynolds numbers.
