No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Heat and mass transfer over slippery, superhydrophobic surfaces
3.W. Nusselt, “Die Abhängigkeit der Wärmeübergangszahl von der Rohrlänge,” Z. Verein. Deutsch. Ing. 54, 1154–1158 (1910).
4.R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, 2nd ed. (John Wiley & Sons, New York, 2007).
5.A. S. Haase, S. J. Chapman, P. A. Tsai, D. Lohse, and R. G. H. Lammertink, “The Graetz–Nusselt problem extended to continuum flows with finite slip,” J. Fluid Mech. 764, R3 (2015).
6.E. Lauga, M. P. Brenner, and H. A. Stone, “Microfluidics: The no-slip boundary condition,” in Springer Handbook of Experimental Fluid Mechanics, edited byC. Tropea, A. L. Yarin, and J. F. Foss (Springer, Berlin, 2007), pp. 1219–1240.
10.N. M. Juhasz and W. M. Deen, “Effect of local Peclet number on mass transfer to a heterogeneous surface,” Ind. Eng. Chem. Res. 30, 556–562 (1991).
13.M. A. Lévêque, “Les lois de la transmission de chaleur par convection,” Ann. Mines Mem. Ser. 13, 201–299 (1928);
13.M. A. Lévêque, Ann. Mines Mem. Ser. 13, 305–362 (1928);
13.M. A. Lévêque, Ann. Mines Mem. Ser. 13, 381–415 (1928).
18.C. Jia, K. Shing, and Y. C. Yortsos, “Advective mass transfer from stationary sources in porous media,” Water Resour. Res. 35, 3239–3251 (1999).
20.P. N. Shah and E. S. G. Shaqfeh, “Heat/mass transport in shear flow over a heterogeneous surface with first order surface reactive domains,” J. Fluid Mech. 782, 260–299 (2015).
21.A. S. Haase, E. Karatay, P. A. Tsai, and R. G. H. Lammertink, “Momentum and mass transport over a bubble mattress: The influence of interface geometry,” Soft Matter 9, 8949–8957 (2013).
22.D. Maynes, B. W. Webb, and J. Davies, “Thermal transport in a microchannel exhibiting ultrahydrophobic microribs maintained at constant temperature,” J. Heat Transfer 130, 022402 (2008).
23.D. Maynes, B. W. Webb, J. Crockett, and V. Solovjov, “Analysis of laminar slip-flow thermal transport in microchannels with transverse rib and cavity structured superhydrophobic walls at constant heat flux,” J. Heat Transfer 135, 021701 (2012).
25.R. Enright, M. Hodes, T. Salamon, and Y. Muzychka, “Isoflux Nusselt number and slip length formulae for superhydrophobic microchannels,” J. Heat Transfer 136, 012402 (2013).
26.D. Maynes and J. Crockett, “Apparent temperature jump and thermal transport in channels with streamwise rib and cavity featured superhydrophobic walls at constant heat flux,” J. Heat Transfer 136, 011701 (2014).
28.L. Steigerwalt Lam, C. Melnick, M. Hodes, G. Ziskind, and R. Enright, “Nusselt numbers for thermally developing couette flow with hydrodynamic and thermal slip,” J. Heat Transfer 136, 051703 (2014).
29.D. Moreira and P. R. Bandaru, “Thermal transport in laminar flow over superhydrophobic surfaces, utilizing an effective medium approach,” Phys. Fluids 27, 052001 (2015).
30.J. S. Wexler, A. Grosskopf, M. Chow, Y. Fan, I. Jacobi, and H. A. Stone, “Robust liquid-infused surfaces through patterned wettability,” Soft Matter 11, 5023–5029 (2015).
31.C. L. M. H. Navier, “Mémoire sur les lois du mouvement des fluids,” Mem. Acad. Sci. Int. Fr. 6, 389–432 (1823).
35.D. K. Hennecke, “Heat transfer by Hagen-Poiseuille flow in the thermal development region with axial conduction,” Wärme Stoffübertrag. 1, 177–184 (1968).
37.E. Karatay, A. S. Haase, C. W. Visser, C. Sun, D. Lohse, P. A. Tsai, and R. G. H. Lammertink, “Control of slippage with tunable bubble mattresses.,” Proc. Natl. Acad. Sci. U. S. A. 110, 8422–8426 (2013).
Article metrics loading...
The classical Graetz-Nusselt problem is extended to describe heat and mass transfer over heterogeneously slippery, superhydrophobic surfaces. The cylindrical wall consists of segments with a constant temperature/concentration and areas that are insulating/impermeable. Only in the case of mass transport do the locations of hydrodynamic slip and mass exchange coincide. This makes advection near the mass exchanging wall segments larger than near the heat exchanging regions. Also the direction of radial fluid flow is reversed for heat and mass transport, which has an influence on the location where the concentration or temperature boundary layer is compressed or extended. As a result, mass transport is more efficient than heat transfer. Also the influence of axial diffusion on the Nusselt and Sherwood numbers is investigated for various Péclet numbers Pe. When Pe < 102, which is characteristic for heat transfer over superhydrophobic surfaces, axial conduction should be taken into account. For Pe ≥ 102, which are typical numbers for mass transport in microfluidic systems, axial diffusion can be neglected.
Full text loading...
Most read this month