Instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces

Theoretical investigation of steady isothermal slip flow in a curved microchannel with a rectangular cross-section and constant radii of wall curvature

“…Such structures can also occur in the curved micro-channels (Kn>0), as it was shown in [8]. Therefore, it should be emphasized that the theoretical results presented above are valid for the cases where the vortex structures are absent.…”

“…The range of the flow parameters that restrict the flow without the Dean vortices can be estimated from the data documented in [8]. …”

“…The Boltzmann equation was solved in [7] while simulating the Taylor-Couette slip flow; here the main attention was paid to the effect on the Taylor-vortex flow engendered by the outer cylinder rotation. The perturbation method was employed in [8] to model the instability of a slip flow between two concentric cylinders.…”

Start-up slip flow in a microchannel with a rectangular cross section

“…The perturbation method was involved in Ref. [8] to model the instability of a slip flow between two concentric cylinders.…”

Ritz method for slip flow in curved micro-ducts and application to the elliptic duct

“…Previous literature for slip flow in a curved duct include the analytic series solution for the curved rectangular duct of Wang [2], who also gave the solution for a curved channel. The stability of the flow was determined by Avramenko and Kuznetsov [3]. The slip flow in a curved circular tube was studied by Wang [4] using a small perturbation from the straight tube solution.…”