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Home  >  Volume 36 (no2)

The use of Fractional Derivatives to Generalize Hooke's and Newton's Laws by the Scott Blair's Model by Aku D. H, Useni P. F and Madaki A. A (pages 209-216)
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ABSTRACT

In this paper, some pioneering roles of the British scientist G.W. Scott Blair in the formation of the applications of fractional modeling in rheology are discussed. Further development of this branch of science and some other few aspects in which fractional calculus are applicable are also briefly investigated. We used two methods in the construction of the fractional model of a viscoelastic fluid via Maxwell model. The first method is a direct one while in the second method the fractional elements are determined by three parameters which lead to the constitutive equation of Maxwell model. 

KEYWORDS: Viscoelasticity, Rheology, Scott Blair’s model.

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