6 research outputs found
The goodness-of-fit indicators for rheological models presented in the work, for kuzu starch pastes when the temperature of pasting was 90°C.
<p>where: <i>t</i>–time of pasting; MPE—mean percentage error; MBE—mean bias error; RMSE—root mean square error; EF—modelling efficiency; χ<sup>2</sup>—chi-square test; CMM—the classical Maxwell model; FMM1—the fractional Maxwell model with one springpot; FMM2—the fractional Maxwell model with two springpots; MFMM2—the modified fractional Maxwell model with two springpots; CKVM—the classical Kelvin-Voigt model; FKVM1—the fractional Kelvin-Voigt model with one springpot, FKVM2—the fractional Kelvin-Voigt model with two springpots, MFKVM2—the modified fractional Kelvin-Voigt model with two springpots.</p><p>The goodness-of-fit indicators for rheological models presented in the work, for kuzu starch pastes when the temperature of pasting was 90°C.</p
The list of parameters of the proposed rheological models.
<p>where: <i>G</i><sup><i>0</i></sup><sub><i>N</i></sub>—the plateau modulus; <i>G</i><sub><i>e</i></sub>—the equilibrium modulus; <i>τ</i><sub><i>0</i></sub> —the shortest relaxation time; <i>τ</i><sub><i>m</i></sub>—the longest relaxation time; <i>α</i>, <i>β</i>–the fractional exponents; <i>η</i><sub><i>0</i></sub>—the Newtonian steady state shear viscosity; CMM—the classical Maxwell model; FMM1—the fractional Maxwell model with one springpot; FMM2—the fractional Maxwell model with two springpots; MFMM2—the modified fractional Maxwell model with two springpots; CKVM—the classical Kelvin-Voigt model; FKVM1—the fractional Kelvin-Voigt model with one springpot, FKVM2—the fractional Kelvin-Voigt model with two springpots, MFKVM2—the modified fractional Kelvin-Voigt model with two springpots; the sign of "+" means the presence of given parameter in the model.</p><p>The list of parameters of the proposed rheological models.</p
The experimental and model values of storage modulus <i>G’</i>, loss modulus <i>G”</i> and tangent of loss angle <i>δ</i> as a function of oscillation frequency <i>ω</i>, for kuzu starch pastes when temperature and time of pasting were 90°C and 30 min, respectively.
<p>(a) the classical Kelvin-Voigt model (CKVM), (b) the fractional Kelvin-Voigt model with one springpot (FKVM1), (c) the fractional Kelvin-Voigt model with two springpots (FKVM2).</p
Kelvin-Voigt-type models.
<p>(a) classical; (b) fractional with one springpot; (c) fractional with two springpots.</p
Sample of 3% (w/v) kuzu starch paste for oscillatory and creep tests.
<p>Sample of 3% (w/v) kuzu starch paste for oscillatory and creep tests.</p
The experimental and model values of storage modulus <i>G’</i>, loss modulus <i>G”</i> and tangent of loss angle <i>δ</i> as a function of oscillation frequency <i>ω</i>, for kuzu starch pastes when temperature and time of pasting were 90°C and 30 min, respectively.
<p>(a) the classical Kelvin-Voigt model (CKVM), (b) the fractional Kelvin-Voigt model with one springpot (FKVM1), (c) the fractional Kelvin-Voigt model with two springpots (FKVM2).</p