2017
DOI: 10.1177/1687814017699765
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Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot

Abstract: Based on the fractal derivative, a robust viscoelastic element-fractal dashpot-is proposed to characterize the rheological behaviors of non-Newtonian fluid. The mechanical responses of the fractal dashpot are investigated with different strains and stresses, which are compared with the existing dashpot models, including the Newton dashpot and the Abel dashpot. The results show that as the derivative order is between 0 and 1, the viscoelastic behavior of the fractal dashpot is similar to that of the Abel dashpo… Show more

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Cited by 25 publications
(5 citation statements)
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“…Moreover, the high viscosity of the polymer solution also suppresses the filling of the small cavities in the PDMS mold with polymer solution [ 26 ]. In addition, the apparent viscosity of all polymer solutions decreased when the shear rate increased, as shown in Figure 4 , so the centrifugation applied in this work facilitated the polymer solutions to be loaded into the MN molds [ 27 ].…”
Section: Resultsmentioning
confidence: 99%
“…Moreover, the high viscosity of the polymer solution also suppresses the filling of the small cavities in the PDMS mold with polymer solution [ 26 ]. In addition, the apparent viscosity of all polymer solutions decreased when the shear rate increased, as shown in Figure 4 , so the centrifugation applied in this work facilitated the polymer solutions to be loaded into the MN molds [ 27 ].…”
Section: Resultsmentioning
confidence: 99%
“…In recent years, fractional calculus has been widely used in the research of abnormal diffusion, viscoelastic model, and soft materials [21]. Compared with the integer calculus, fractional calculus can more concisely and accurately describe the physical process with historical memory and spatial correlation [26]. The germination of fractional calculus can be traced back to L' Hospital's letter to Leibniz in 1695.…”
Section: Introductionmentioning
confidence: 99%
“…Issues related to the practical application of selected rheological models have been the subject of many papers for a long time [5][6][7][8][9][10][11][12][13][14][15][16][17][18]. This is mainly due to the large variety of non-Newtonian fluids (emulsions [5][6][7][8], suspensions [8,9], solutions [10], polymer mixtures [11] etc.…”
Section: Introductionmentioning
confidence: 99%
“…This is mainly due to the large variety of non-Newtonian fluids (emulsions [5][6][7][8], suspensions [8,9], solutions [10], polymer mixtures [11] etc. ), their various properties [11][12][13][14] which often change with parameters of technological process, e.g. temperature [10,11,14,15], flow conditions [7,11,16], mixing intensity [17,18] etc.…”
Section: Introductionmentioning
confidence: 99%