Turbulent Kinetic Energy and Temperature Variance Budgets in the Far Wake Generated by a Circular Cylinder

Measurements of velocity and the temperature fluctuations have been performed to determine the budget of q2 (mean turbulence kinetic energy) and θ2 (temperature variance) in the far wake of a cylinder. The two budgets show similar physical phenomena (advection and diffusion) as the source of large scale inhomogeneity on the flow centreline. It was noted that the estimates of the dissipation rates e and χ of q2 and θ2, respectively, obtained using a spectral chart method results in a better closure in both the q2 and θ2 budgets than their isotropic counterparts. Introduction The transport equations for both the turbulent kinetic energy, q2 [13] (≡ u2+v2+w2), and the temperature variance, θ2 [10], in plane wake can be approximated to 1 2 U1 ∂q2 ∂x +uv ∂U ∂y + ∂ ∂y (