Abstract
In the present paper, we propose new equations describing the fluid behavior in nanochannels with its molecular structure. We consider the Poiseuille flow and the flow throw the channel with vibrating walls. The obtained results show that it is possible to describe the structural transformations in thin layers by using the continuum mechanics methods. We introduce new degrees of freedom of the material by introducing the second continuum, which plays the role of the arising new phase of state. In the models considered here, the properties of the new phase are determined by the influence of rigid boundaries with a different structure.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Israelashvili, J.N., McGuiggan, P.M., Homola, A.M.: Dynamic properties of molecularly thin liquid films. Science 240, 189–191 (1988)
Israelashvili, J.N.: Intermolecular and surface forces, 2nd edn. Academic Press, New York (1992)
Vinogradova, O.I.: Slippage of water over hydrophobic surfaces. Int. J. Miner Process. 56, 31–40 (1999)
Thompson, P.A., Robbins, M.O.: Shear flow near solids: epitaxial order and flow boundary conditions. Phys. Rev. A. 41, 6830 (1990)
Deryagin, B.V., et al.: Properties of fluids in thin quartz capillaries. Surface Forces in Thin Films and Colloid Stability, pp. 90–94. Nauka, Moscow (1974)
Acknowledgements
The paper is written with the financial support of Russian Foundation of Basic Investigations, grants 08-01-00691-a and 10-01-00814-a.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag/Wien
About this chapter
Cite this chapter
Indeitsev, D.A., Abramyan, A.K., Semenov, B.N. (2012). Vibration Control of a Fluid in Micro- and Nanotubes. In: Irschik, H., Krommer, M., Belyaev, A. (eds) Advanced Dynamics and Model-Based Control of Structures and Machines. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0797-3_14
Download citation
DOI: https://doi.org/10.1007/978-3-7091-0797-3_14
Published:
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-0796-6
Online ISBN: 978-3-7091-0797-3
eBook Packages: EngineeringEngineering (R0)