Convective heat transfer in rotating isothermal ducts

Convective heat transfer in the hydrodynamically and thermally fully developed region of rotating radial rectangular ducts is studied theoretically. A pair or pairs of vortices superimposed on the main flow are introduced in the duct by the coriolis force. The fluid with a temperature T₀ is heated by the duct wall with an isothermal temperature T_w and the fluid bulk temperature may increase exponentially after a sufficiently long heating length. Consequently, the three-dimensional energy equation can be reduced to a two-dimensional eigenvalue problem and the axial conduction is also considered for a small Peclet number. The present study covers parameters Pr = 0.7 and 7.0, Pe = ∞, 5 and 1 and Re Re_ω = 0-2×10⁵ for rectangular channels with aspect ratios γ = 0.2, 0.5, 1, 2 and 5. f{hook} Re/(f{hook} Re)₀ and Nu/Nu₀, indicating the flow and heat transfer characteristics of the problem, are shown. The results are compared with the existing data in the literature.