Klettner, CA; (2024) Forced convection past a circular cylinder in a planar Poiseuille flow. International Journal of Heat and Fluid Flow , 105 , Article 109262. 10.1016/j.ijheatfluidflow.2023.109262.

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Abstract

In this work the transfer of a passive scalar (temperature) from a circular cylinder (radius R) in a planar Poiseuille flow (height 2h) is investigated with numerical simulations. The study varies the channel half-height to cylinder radius ϵ = h/R, the inertial parameter Λ = (UcR/ν)(h/R) 2 and the Peclet number ´ Pe = UcR/α, where Uc is the midplane velocity, ν is the kinematic viscosity and α is the thermal diffusivity. There has been significant amount of work for ϵ ≫ 1, therefore this work will focus on the range, 0.03 ≤ ϵ ≤ 1, which has been chosen to show the effect of geometry and inertia on the flow features and the subsequent transfer. As ϵ is decreased the Nusselt number increases and this behaviour is explained with velocity and temperature profiles. Particularly for ϵ = 0.03, the local Nusselt number has a significant vertical variation (in the z-direction) when Λ and Pe are increased past certain values. For Λ ≪ 1 and Pe > 103 this is due to the non-uniform incident flow present in the Hele-Shaw cell while for Λ = O(1), it is the secondary flow that is induced at the sides of the cylinder. For these latter flows the transfer in the midplane is reduced relative to near the side walls, due to the triple turning point radial velocity profile adjacent to the circular cylinder. For Λ ≤ 1, the Nusselt number is only a function of Pe. However, for Λ > 1, the secondary flow results in a slightly increased Nusselt number.

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