Dm. Brown et al., ANALYSIS OF STEADY FORCED-CONVECTION IN THERMALLY DEVELOPING TURBULENT DUCT FLOWS, INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 7(5-6), 1997, pp. 425
Presents a novel theoretical approach, based on extension of ideas ass
ociated with the generalized integral transform technique, for obtaini
ng accurate analytic solutions for fully developed steady forced conve
ction inside circular duels with turbulent flow and constant wall surf
ace temperature conditions. Within the temperature field, reports the
thermal response of the fluid in terms of hybrid solutions for bulk fl
uid temperature and Nusselt number distributions along the thermal ent
rance region of the duct. Further, in assessing the accuracy and valid
ity of the theoretical work, critically examines predicated analytical
solutions of thermally developed Nusselt numbers and compares them wi
th results from reliable empirical correlations of the open literature
. For the investigated cases, satisfactory agreement prevailed between
the theoretically and empirically derived heat transfer parameters, e
xhibiting a maximum difference of 9.58 per cent for the range of syste
m variables analysed.