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Nanochannel can be defined as a channel with at least one cross section dimension in the nanometer range, i.e., of 1–100 nm, while its length considerably exceeds the value of this dimension. A nanometer (nm) is one billionth of a meter, or 1/1,000,000,000 m. If the length is smaller, then such channels are called nanopores. Nanotubes are called nanochannels with circular cross ection. The cross section of a nanochannel may be arbitrary and it may vary proportionally to its length. In particular, a cross section along its entire length may be constant. Flows in nanochannels can be caused by differences in the pressure applied at their respective ends, i.e., by the pressure gradient. Such flows are referred to as pressure driven or Poiseuille flows. Another way to induce a flow in nanochannel is to use electrokinetic effects and to apply an electric field. Nanochannels may carry mass, heat, or electrical charges (ions). Nanofluidics, which has become a new...
References
Allen M, Tildesley D (1989) Computer simulations of liquids. Clarendon, Oxford
Christenson HK, Gruen DWR, Horn RG, Israelachvili JN (1987) Structuring in liquid alkanes between solid surfaces: force measurements and mean-field theory. J Chem Phys 87(3):1834–1841
Cosserat E (1909) Theorie des Corps Deformables. A.Herman, Paris
Delhommelle J, Evans D (2002) Poiseille flow of micropolar fluid. Mol Phys 100(17):2857–2865
Eringen A (1966) Theory of micropolar fluids. J Math Mech 16(1):1–16
Helmholtz H (1853) Ueber einige Gesetze der Vertheilung elektrischer Ströme in körperlichen Leitern, mit Anwendung auf die thierisch-elektrischen Versuche. Annalen der Physik und Chemie 165(6):211–233
Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354(6348):56–58
Kucaba-Pietal A (2004a) Microchannels flow modelling with the micropolar fluid theory. Bull Pol Ac Tech 52(3):209–214
Kucaba-Pietal A (2004b) Modelowanie mikroprzeplywow na gruncie teorii plynow mikropolarnych. Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszow
Kucaba-Pietal A, Peradzynski Z, Walenta Z (2009) MD computer simulation of water flows in nanochannels. Bull Pol Ac Tech 57(1):1–7
Landau LD, Lifshitz EM (1959) Fluid mechanics (volume 6 of a course of theoretical physics). Pergamon Press, Oxford
Rapaport D (1994) Shear-induced order and rotation in pipe flow of short-chain molecules. EPL 26(6):401–406
Todd B, Evans D (1995) The heat flux vector for highly unhomogeneous non equilibrium fluids in very narrow pores. J Chem Phys 103:9804–9809
Travis K, Evans D (1997) Molecular spin in a fluid undergoing Poiseuille flow. Phys Rev E 55(2):1566–1572
Travis K, Todd B, Evans D (1997) Departure from Navier-Stokes hydrodynamics in confirned liquids. Phys Rev E 55(4):4288–4295
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Kucaba-Pietal, A. (2018). Flows in Nanochannels. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_168-1
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