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An exact solution of the problem of fully developed forced convection through semi-elliptic ducts is obtained under constant axial heat flux and peripherally uniform temperature. The solution is validated by comparing the local and average Nusselt numbers with the published approximate and asymptotic values.
In this paper, an exact solution of Hagen-Poiseuille flow in channels of semi-circular cross-sections is obtained as no such available in the literature. The velocity profile across the cross section and the shear stress distribution along the wall of the channel are calculated.
The discrete counterpart of a class of Hopfield neural networks with periodic impulses and finite distributed delays is introduced. A sufficient condition for the existence and global exponential stability of a unique periodic solution of the discrete system considered is obtained.
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