caa a22 4500 465755496 CHVBK 20180323111846.0 cr unu---uuuuu 170327e19900501xx s 000 0 eng 10.1007/BF00500844 doi (NATIONALLICENCE)springer-10.1007/BF00500844 Nieuwoudt J. Department of Physics and Astronomy, University of Southern Mississippi, 39406, Hattiesburg, Mississippi, USA aut An extension of the theory of oscillating cup viscometers [Elektronische Daten] [J. Nieuwoudt] The theory of the fluid motion in the interior of an oscillating or rotating cup is reexamined. The quantity of interest in viscometry is the torque exerted by the fluis on the sides and rims of the cup. In this paper expressions for the torque are obtained for geometries for which the cup height approaches a fluid boundary layer thickness. Interest in such geometries is due to viscosity measurements made in mixtures in the critical region where cups of small height are used in order to minimize gravity effects. Plenum Publishing Corporation, 1990 Asyptotic boundary regions nationallicence drag forces nationallicence oscillating body viscometry nationallicence D(ζ) : Torque on the cup, Eq. (5) nationallicence E(ζ) : Truncation error term, Eq. (24) nationallicence h : Internal half-height of a filled cup or the height of the liquid in a partially filled cup nationallicence I : Moment of inertia of cup and suspension system nationallicence I′ : Moment of inertia of fluid inside cup nationallicence I n : Modified Bessel function of order n nationallicence J i, n : Defined in Eq. (13) nationallicence R : Radius of the cup nationallicence S n : Defined in Eq. (7) nationallicence S ′ n : Defined in Eq. (10) nationallicence x : Variable 2η 0/π nationallicence z : Variable 2η 0ζ1/2 nationallicence α(τ) : Angular displacement of the cup nationallicence δ : Boundary layer thickness nationallicence Δ : Logrithmic decrement nationallicence ζ : Laplace transform variable nationallicence η 0 : Dimensionless height h/δ nationallicence θ : Frequency ratio ω/ω 0 nationallicence ν : Kinematic viscosity nationallicence ξ 0 : Dimensionless radius R/δ nationallicence ρ : Density of liquid nationallicence τ : Dimensionless time ω 0 t nationallicence φ : Phase angle of oscillation nationallicence ω : Angular frequency of oscillation with liquid present in cup nationallicence ω 0 : Angular frequency of oscillation in a vacuum nationallicence International Journal of Thermophysics Kluwer Academic Publishers-Plenum Publishers 11/3(1990-05-01), 525-535 0195-928X 11:3<525 1990 11 10765 https://doi.org/10.1007/BF00500844 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00500844 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Nieuwoudt J. Department of Physics and Astronomy, University of Southern Mississippi, 39406, Hattiesburg, Mississippi, USA aut NATIONALLICENCE 773 0- International Journal of Thermophysics Kluwer Academic Publishers-Plenum Publishers 11/3(1990-05-01), 525-535 0195-928X 11:3<525 1990 11 10765 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer