Forced convection heat transfer for the fully-developed laminar flow of the cross fluid between parallel plates

This work analyzes the fully developed laminar flow of the Cross fluid between parallel plates under uniform heat flux. The formulation for the Nusselt number has been derived based on the analytically described velocity and flow rate. The velocity has been obtained analytically in terms of the shear rate. Then, the core flow rate has been introduced and it has been also analytically obtained. Using this core flow rate, the temperature profile and the Nusselt number have been achieved by the numerical integration. Especially for the cases without the truncation term, with the Nusselt numbers along with the shear rate obtained for various indexes, the correlation for 0.05 ≤ n ≤ 0.95 has been proposed. Then, the effects of the truncation term has been also investigated.