Slip flow heat transfer in an infinite microtube with axial conduction

Thermally developing microtube gas flow with axial conduction and viscous dissipation

“…The secondorder slip model predicts slightly higher mean temperatures with those predicted by the first-order model. Satapathy [16] also noticed the same pattern as exhibited in Fig. 10 when he studied the effect of Kn on the mean temperature in plug flow with axial conduction but no viscous dissipation.…”

“…The paper by Cetin et al [21] does not delineate the effect of k on the mean temperature and consequently, our observations here cannot be verified against theirs. Similarly, it is not possible to compare the present results with that of Satapathy [16] because all of his results are for k ¼ 1.667. However, Cetin et al [21] do provide information about the effect of k on the local Nusselt number, which is discussed next.…”

“…x, the mean temperature increases as Pe increases. This conclusion was also reached by Cetin et al [21] who used a first-order slip model with axial conduction and viscous dissipation, and by Satapathy [16] who used a plug flow model with axial heat conduction only. However, as x increases, the curves for Pe ¼ 1 cross the curves for Pe ¼ 5 and Pe ¼ 10, and reach the asymptotic values farther down the tube.…”

“…Both works [14,15] neglected the effects of axial heat conduction and viscous dissipation. Satapathy [16] considered slug flow in an infinitely long microtube at a constant surface temperature and retained the axial heat conduction term in the energy equation. Using the first-order temperature jump model (i.e.…”

Heat transfer coefficient of gas flowing in a circular tube under rarefied condition

“…They [1,2] found a substantial reduction in Nusselt number (Nu) with an increase in Knudsen number (Kn). Larrode et al [3] [9] and Satyapathy [10] included the axial conduction term in the simplified energy equation given above with constant wall temperature in the slip and transition regimes. They found a decrease in Nusselt number with an increase in Knudsen number.…”