The effect of wall conduction for the extended Graetz problem for laminar and turbulent channel flows

Transient conjugated heat transfer in thermally developing laminar flow in thick walled pipes and minipipes with time periodically varying wall temperature boundary condition

“…Conjugated heat transfer problems and fluid axial conduction are also faced in mini or microtubes, because of relatively thick walls, small diameters and therefore low Reynolds and Peclet numbers in flows. Brief literature surveys for laminar pipe or channel flows are given by Shah and London [11] and for conjugate problems by Dorfman [12], Weigand and Gassner [13] and Bilir [14,15].…”

Determination of the Effective Radial Thermal Diffusivity for Evaluating Enhanced Heat Transfer in Tubes Under Non-Newtonian Laminar Flow

“…The well known Graetz problem of laminar flow heat exchange in a straight tube has been extensively studied and various correlations for the Nusselt number, either theoretical or empirical, are available in the literature for Newtonian and non-Newtonian fluids (Lyche and Bird, 1956;Jones, 1971;Mahalingam et al, 1975;Richardson, 1979;Weigand and Gassner, 2007). In the case of coiled tubes or corrugated tubes under laminar flow, the development of secondary flows improves fluid mixing and, consequently, heat transfer.…”

Conjugated heat transfer in unsteady channel flows

“…Weigand and Gassner [12] studied the conjugate extended Graetz problem which takes into account the effects of the Peclet number. The same problem, but including a model of a ''simulated flame'' has been very recently analysed, again by analytical methods, by Veeraragavan and Cadou [13].…”