Mohamed Shaimi*
, Rabha Khatyr, Jaafar Khalid Naciri
Frontiers in Heat and Mass Transfer, Vol.20, pp. 1-14, 2023, DOI:10.5098/hmt.20.23
Abstract This paper presents an exact analytical solution to the extended Graetz problem in microchannels and microtubes, including axial heat conduction,
viscous dissipation, and rarefaction effects for an imposed constant wall temperature. The flow in the microchannel or microtube is assumed to be
hydrodynamically fully developed. At the same time, the first-order slip-velocity and temperature jump models represent the wall boundary conditions.
The energy equation is solved analytically, and the solution is obtained in terms of Kummer functions with expansion constants directly determined
from explicit expressions. The local and fully developed Nusselt numbers are calculated in terms of the Péclet number,… More >
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