The Deborah Number is particularly useful in conceptualizing the time temperature superposition principle.
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The Deborah number, a dimensionless number used in rheology, is named after her.
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The Deborah Number was originally proposed by Markus Reiner, a professor at Judges 5 : 5 ).
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While Wi is similar to the Deborah number and is often confused with it in technical literature, they have different physical interpretations.
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Time-temperature superposition avoids the inefficiency of measuring a polymer s behavior over long periods of time at a specified temperature by utilizing the Deborah Number.
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A material at low temperature with a long experimental or relaxation time behaves like the same material at high temperature and short experimental or relaxation time if the Deborah number remains the same.
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In contrast, the Deborah number should be used to describe flows with a non-constant stretch history, and physically represents the rate at which elastic energy is stored or released.
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Formally, the Deborah number is defined as the ratio of the relaxation time characterizing the time it takes for a material to adjust to applied stresses or deformations, and the characteristic time scale of an experiment ( or a computer simulation ) probing the response of the material:
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