Forced spreading and rheology of starch gel: Viscoelastic modeling with fractional calculus

Choudhury, Moutushi Dutta; Chandra, S.; Nag, Soma; Das, Shantanu; Tarafdar, Sujata

doi:10.1016/j.colsurfa.2012.05.008

Cited by 31 publications

(20 citation statements)

References 22 publications

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“…In the macromolecular suspensions of ACr and WC the serial dashpot of the mechanical model was relevant. This element may be consider a system where strain increases boundlessly with time under a constant load applied . These systems were more fluids ( η 0 ≤ 1.4 × 10 5 Pa · s), so it were observed a fast increase in the creep compliance and took a longer time to reach a steady state than ACa and NC.…”

Section: Resultsmentioning

confidence: 99%

Viscoelastic properties of amaranth starch gels and pastes. Creep compliance modeling with Maxwell model

Villarreal

Iturriaga

2016

Starch Stärke

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In this work, the morphological, thermal, and crystalline properties of starches isolated from two amaranth cultivars, Amaranthus cruentus (ACr) and Amaranthus caudatus (ACa); the viscoelastic properties of their pastes and gels, through oscillatory and creep‐recovery tests and the adjustment to the Maxwell mechanical model, were studied. Both starches presented type A crystalline patterns with high crystallinity degree (CD), 41.84% for ACr and 40.70% for ACa, associated to their low apparent amylose content (AAM) (1.06 g/100 g for ACr and 7.39 g/100 g for ACa). The ACr starch showed the highest values for temperature of gelatinization (Tg) (74.50°C) and ΔH (16.15 W/g). Amaranth gelatinized starches exhibited rheological behavior that corresponds to concentrated macromolecular solutions for ACr while ACa starches showed a gel‐type behavior. The ACa gels behaved as a viscoelastic solid with smaller values of instantaneous compliance (0.006 Pa−1 < J0 < 0.0002 Pa−1), retarded compliances (0.0005 Pa−1 < J1 < 0.000006 Pa−1; 0.0016 Pa−1 < J2 < 0.00008 Pa−1) and higher values of newtonian viscosities (33.4 × 105 Pa · s ≤ η0 ≤ 357.1 × 105Pa · s) than ACr, which facilitated their later structural recovery (75.8% ≤ final recovery ≤ 85.1%). The gels exhibited a small contribution of viscous flow's compliance (t/η0) brought about by the dashpot of the Maxwell's simple element, while in the ACr pastes, this element acquired importance. The Maxwell model of six‐parameters adjusted satisfactorily (R2 ≥ 0.986; RSS ≤ 3 × 10−4) the results of creep curves.

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Section: Resultsmentioning

confidence: 99%

Viscoelastic properties of amaranth starch gels and pastes. Creep compliance modeling with Maxwell model

Villarreal

Iturriaga

2016

Starch Stärke

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“…Fractional differential equations are regarded as alternative models to nonlinear differential equations. In recent years, fractional calculus has been present in numerous diverse fields of science and engineering [1][2][3][4][5]. Compared with the integer model, fractional model provide an superior instrument to describe the memory and hereditary properties of various materials and processes.…”

Section: Introductionmentioning

confidence: 99%

A novel stability theorem about fractional nonlinear systems with time-delay

Wang

Zhao

2015

The 27th Chinese Control and Decision Conference (2015 CCDC)

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“…Fractional dynamics is more evident in time domain representation of naturally occurring oscillatory systems (like viscoelasticity, fluid flow etc. [30], [31]) where the notion of damping is different with a decaying power-law envelope and Mittag-Leffler type oscillations [32], instead of sinusoidal oscillations within an exponentially decaying envelope.…”

Section: Introductionmentioning

confidence: 99%

Effect of random parameter switching on commensurate fractional order chaotic systems

Das

Pan

Das

2016

Chaos, Solitons & Fractals

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The paper explores the effect of random parameter switching in a fractional order (FO) unified chaotic system which captures the dynamics of three popular sub-classes of chaotic systems i.e. Lorenz, Lu and Chen's family of attractors. The disappearance of chaos in such systems which rapidly switch from one family to the other has been investigated here for the commensurate FO scenario. Our simulation study show that a noise-like random variation in the key parameter of the unified chaotic system along with a gradual decrease in the commensurate FO is capable of suppressing the chaotic fluctuations much earlier than that with the fixed parameter one. The chaotic time series produced by such random parameter switching in nonlinear dynamical systems have been characterized using the largest Lyapunov exponent (LLE) and Shannon entropy. The effect of choosing different simulation techniques for random parameter FO switched chaotic systems have also been explored through two frequency domain and three time domain methods. Such a noise-like random switching mechanism could be useful for stabilization and control of chaotic oscillation in many real-world applications.

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Forced spreading and rheology of starch gel: Viscoelastic modeling with fractional calculus

Cited by 31 publications

References 22 publications

Viscoelastic properties of amaranth starch gels and pastes. Creep compliance modeling with Maxwell model

Viscoelastic properties of amaranth starch gels and pastes. Creep compliance modeling with Maxwell model

A novel stability theorem about fractional nonlinear systems with time-delay

Effect of random parameter switching on commensurate fractional order chaotic systems

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