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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 36 (1997), S. 686-693 
    ISSN: 1435-1528
    Keywords: Key words Lubricated squeezing flow ; elongational viscosity ; slip ; mayonnaise ; mustard
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract Commercial mayonnaise and mustard samples placed in a wide, shallow Teflon container were compressed by a wide Teflon plate to induce an ‘imperfect’ lubricated squeezing flow. A dominant squeezing flow regime could be clearly identified as a linear region in the log F(t) vs log H(t) relationship, F(t) and H(t) being the momentary force and specimen height respectively. The slope of the relationship enabled the estimation of the flow index, n, and the consistency coefficient K. The n values of the mayonnaise were on the order of 0.6–0.85 and those of the mustard about 0.7. The corresponding K values were on the order of 6–13 and 4–5kPasn respectively. Considering the crudeness of the array the measurements were highly reproducible and sensitive enough to detect differences (mayonnaise) or establish similarities (mustard) in products of different brands. The calculated flow index was practically independent of the plate‘s radius and of the consistency coefficient, which had a weak dependency on the latter. The calculated elongational viscosity vs biaxial strain rate relationship could also be used to compare the different products and brands. At 0.01s–1 the elongational viscosity of the maynonnaise was on the order of 150kPas, and of the mustard 60kPas.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 36 (1997), S. 686-693 
    ISSN: 1435-1528
    Keywords: Lubricated squeezing flow ; elongational viscosity ; slip ; mayonnaise ; mustard
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract Commercial mayonnaise and mustard samples placed in a wide, shallow Teflon container were compressed by a wide Teflon plate to induce an ‘imperfect’ lubricated squeezing flow. A dominant squeezing flow regime could be clearly identified as a linear region in the log F(t) vs log H(t) relationship, F(t) and H(t) being the momentary force and specimen height respectively. The slope of the relationship enabled the estimation of the flow index, n, and the consistency coefficient K. The n values of the mayonnaise were on the order of 0.6–0.85 and those of the mustard about 0.7. The corresponding K values were on the order of 6–13 and 4–5 kPasn respectively. Considering the crudeness of the array the measurements were highly reproducible and sensitive enough to detect differences (mayonnaise) or establish similarities (mustard) in products of different brands. The calculated flow index was practically independent of the plate's radius and of the consistency coefficient, which had a weak dependency on the latter. The calculated elongational viscosity vs biaxial strain rate relationship could also be used to compare the different products and brands. At 0.01 s−1 the elongational viscosity of the maynonnaise was on the order of 150 kPas, and of the mustard 60 kPas.
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 2015-12-07
    Print ISSN: 0266-5611
    Electronic ISSN: 1361-6420
    Topics: Mathematics , Physics
    Published by Institute of Physics
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  • 4
    Publication Date: 2018-07-10
    Description: The extraction of the magnetic signal induced by the oceanic M2 tide is typically based solely on the temporal periodicity of the signal. Here, we propose a system of tailored trial functions that additionally takes the spatial constraint into account that the sources of the signal are localized within the oceans. This construction requires knowledge of the underlying conductivity model but not of the inducing tidal current velocity. Approximations of existing tidal magnetic field models with these trial functions and comparisons with approximations based on other localized and non-localized trial functions are illustrated.
    Electronic ISSN: 2568-6402
    Topics: Geosciences , Physics
    Published by Copernicus on behalf of European Geosciences Union.
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  • 5
    Publication Date: 2018-10-18
    Description: The extraction of the magnetic signal induced by the oceanic M2 tide is typically based solely on the temporal periodicity of the signal. Here, we propose a system of tailored trial functions that additionally takes the spatial constraint into account that the sources of the signal are localized within the oceans. This construction requires knowledge of the underlying conductivity model but not of the inducing tidal current velocity. Approximations of existing tidal magnetic field models with these trial functions and comparisons with approximations based on other localized and nonlocalized trial functions are illustrated.
    Print ISSN: 0992-7689
    Electronic ISSN: 1432-0576
    Topics: Geosciences , Physics
    Published by Copernicus on behalf of European Geosciences Union.
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  • 6
    Publication Date: 2020-09-18
    Description: Any square-integrable vector field $$mathbf {f}$$ f over a sphere $$mathbb {S}$$ S can be decomposed into three unique contributions: one being the gradient of a function harmonic inside the sphere (denoted by $$mathbf {f}_+$$ f + ), one being the gradient of a function harmonic in the exterior of the sphere (denoted by $$mathbf {f}_-$$ f - ), and one being tangential and divergence-free (denoted by $$mathbf {f}_{df}$$ f df ). In geomagnetic applications this is of relevance because, if we consider $$mathbf {f}$$ f to be identified with a magnetization, only the contribution $$mathbf {f}_+$$ f + can generate a non-vanishing magnetic field in the exterior of the sphere. Thus, we call $$mathbf {f}_-$$ f - and $$mathbf {f}_{df}$$ f df “silent” and $$mathbf {f}_+$$ f + “nonsilent”. If $$mathbf {f}$$ f is known to be spatially localized in a subregion of the sphere, then $$mathbf {f}_+$$ f + and $$mathbf {f}_-$$ f - are coupled due to their potential field nature. In this short paper, we derive an approach that makes use of this coupling in order to compute the contribution $$mathbf {f}_-$$ f - from knowledge of the contribution $$mathbf {f}_+$$ f + .
    Print ISSN: 1869-2672
    Electronic ISSN: 1869-2680
    Topics: Geosciences , Mathematics
    Published by Springer
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