Fully-developed heat transfer in annuli with viscous dissipation

摘要: Abstract For Newtonian concentric annular flows analytical solutions are obtained under imposed asymmetric constant wall heat fluxes as well temperatures, taking into account viscous dissipation and for fluid dynamic thermally fully-developed conditions. Results the special case of flux ratio identical temperatures critical Brinkman numbers marking changes sign in also derived. Equations presented Nusselt at inner outer walls, bulk temperature normalised distribution a function all relevant non-dimensional numbers. Given complexity derived equations, simpler exact expressions ease use, with their coefficients given tables radius ratio.