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Technical Briefs

Microscale Falling Cylinder Viscometer With Slip Boundary

[+] Author and Article Information
Khaled M. Bataineh1

Department of Mechanical Engineering, Jordan University of Science and Technology, Irbid 22110, Jordank.bataineh@just.edu.jo

Moh’d A. Al-Nimr, Wafa Batayneh

Department of Mechanical Engineering, Jordan University of Science and Technology, Irbid 22110, Jordan

1

Corresponding author.

J. Fluids Eng 132(8), 084502 (Aug 18, 2010) (5 pages) doi:10.1115/1.4002168 History: Received March 21, 2010; Revised July 11, 2010; Published August 18, 2010; Online August 18, 2010

This paper theoretically investigates the hydrodynamic behavior of a falling microcylinder viscometer. The Navier slip conditions are applied to all fluid/solid interfacial boundary conditions of the device. Previous investigations focused on the behavior at the macroscale level and did not consider the slip conditions. The slip coefficients for typical devices and operating conditions are found to be major parameters that affect the behavior of the microscale viscometer. Formulas for determining the viscosity coefficients using a microscale viscometer without considering slip conditions give inaccurate results. The theoretical model has been verified by comparing its predictions with that of the macroviscometer after neglecting the slip conditions.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 2

Axial velocity distribution vz: k=0.5 and R=1

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Figure 3

Zoom-out of Fig. 2

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Figure 4

Shear stress distribution: R=1 and k=0.5

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Figure 1

Falling cylinder viscometer

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