Transversely Oscillating MEMS Viscometer: The “Spider”
Purchase on Springer.com
$39.95 / €34.95 / £29.95*
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.
The analysis of a new viscometer that takes the form of an oscillating plate, fabricated from silicon using the methods of micro-electro-mechanical-systems (MEMS) is considered. The instrument is designed principally for experimental use in the oil industry. The plate is 1.6 mm wide, 2.4 mm long, and 20μm thick. It is suspended from a 0.4 mm thick support by 48 square cross-section legs, each of length 0.5 mm width and depth of 20μm. The process of lithography is used to deposit layers atop the silicon. These layers can then be formed into resistors and metallic tracks. The tracks traverse the supporting legs to provide connections between the plate and external electronics. The oscillating plate is a mechanical element that can be set in motion by the force produced by the interaction between an electric current flowing in the plate and an externally applied magnetic field. The viscometer can be operated either in forced or transient mode and is intended for use in both Newtonian and non-Newtonian fluids. The motion of the viscometer is analyzed for incompressible fluids, using the Navier–Stokes equations to model the flow for both a Newtonian viscous fluid and a viscoelastic fluid where the stress is modeled by a reduced form of Maxwell’s equations.
- Mostert R., Van der Gulik P.S., Van den Berg H.R. (1989). Physica A 156:909 CrossRef
- H. Ockendon and J. R. Ockendon, Viscous Flow (Cambridge University Press, 1995), pp. 1–13.
- Besq A., Malfoy C., Pantet A., Monnet P., Righi D. (2003). Appl. Clay Sci. 23:275 CrossRef
- Spiering V.L., Bouwstra S., Spiering R.M.E.J. (1993) . Sensor Actuator A.39:149 CrossRef
- Petersen K.E. (1982) . Proc. IEEE 70:420 CrossRef
- Goodwin A.R.H., Donzier E.P., Vancauwenberghe O., Fitt A.D., Ronaldson K.A., Wakeham W.A., de Lara M.M., Marty F., Mercier B. (2006) . J. Chem. Eng. Data 51:190 CrossRef
- D. J. Acheson, Elementary Fluid Dynamics (Clarendon Press, 1990), pp. 33–38.
- L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, 1959), pp. 47–51, 94.
- K. Ronaldson, Mathematical Modelling of MEMS Viscometers and Densitometers (Thesis submitted September 2005, University of Southampton, UK).
- C.E. Gerald and G. Wheatley, Applied Numerical Analysis (Addison-Wesley, World Student Series, 1997), pp. 363–368.
- Gilat A. (2005) MATLAB, An Introduction With Applications. John Wiley, New York, 107–130
- Transversely Oscillating MEMS Viscometer: The “Spider”
International Journal of Thermophysics
Volume 27, Issue 6 , pp 1677-1695
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers-Plenum Publishers
- Additional Links
- non-Newtonian flow
- Industry Sectors
- Author Affiliations
- 1. School of Mathematics, University of Southampton, Southampton, SO17 1BJ, United Kingdom
- 2. Schlumberger Technology Corporation, 125 Industrial Blvd., Sugar Land, TX, 77478, U.S.A.
- 3. School of Engineering Sciences, University of Southampton, Southampton, SO17 1BJ, United Kingdom