Mathematical Models for Prediction of Rheological Parameters of Pineapple Juice

2008 ◽  
Vol 4 (3) ◽  
Author(s):  
Manish Dak ◽  
Radha Charan Verma ◽  
Manoj Kumar Jain
Keyword(s):  
Mathematical Models ◽  
Absolute Temperature ◽  
Rheological Parameters ◽  
Arrhenius Model ◽  
Rotational Viscometer ◽  
Consistency Coefficient ◽  
Pineapple Juice ◽  
Flow Behaviour Index ◽  
Best Fit ◽  
Good Agreement

Rheological characteristics of pineapple juice have been investigated and rheological parameters were evaluated using rotational viscometer at temperatures 20, 30 and 40*C at concentration 26.77, 18.99 and 14 % total solids. The experimental results followed the power law model for the best fit and the values of flow behaviour index (n) was less than unity (0.08 to 0.87) at all temperatures and concentrations indicating the shear thinning (pseudoplasticity) nature of juice. An obvious correlation between consistency coefficient in the range of 0.1 - 37.16 Pa.sn and inverse absolute temperature has been exhibited by Arrhenius model. The Power equation indicated that the consistency coefficient increased non-linearly with an increase in concentration. Mathematical models were developed for prediction of the consistency coefficient as a function of temperature and concentration. A good agreement was observed between experimental and theoretical values of the consistency coefficient predicted by models. The magnitude of activation energy was found to be in the range of 3.67 to 4.62 kJ/mol.K.

Rheological Properties of Tomato Concentrate

2008 ◽  
Vol 4 (7) ◽  
Author(s):  
Manish Dak ◽  
Radha Charan Verma ◽  
S N A Jaaffrey
Keyword(s):  
Rheological Properties ◽  
Absolute Temperature ◽  
Power Law Model ◽  
Arrhenius Model ◽  
Rotational Viscometer ◽  
Consistency Coefficient ◽  
Flow Behaviour Index ◽  
Different Temperatures ◽  
Wide Gap ◽  
Good Agreement

Rheological properties of tomato concentrate were evaluated using a wide-gap rotational viscometer (Brookfield Engineering Laboratories: Model LVDV-II) at different temperatures of 20, 30, 40, 50, and 60oC, at concentration of 18, 12.18 and 8.04 % total solids, and at appropriate shear rate(1-100 RPM). The power law model was fitted to the experimental results. The values of flow behaviour index (n) were found less than unity (0.23 to 0.82) at all the temperature and the concentration indicating shear-thinning (pseudoplasticity) behaviour of the concentrate. The correlation between the observed consistency coefficient ranging from 0.09 to 65.87 Pa.sn and the inverse absolute temperature has been exhibited by Arrhenius model. Consistency coefficient increased exponentially with increase in the concentration. Statistical model was used for prediction of the consistency coefficient as a function of temperature and concentration which showed a good agreement (r2=0.99) between experimental and theoretical values. The magnitude of activation energy were found to be in the range of 8.6 to 14.08 kJ/mol.K.

scholarly journals Mathematical models for prediction of rheological parameters in vinasses derived from sugar cane

2016 ◽  
Vol 30 (2) ◽  
pp. 135-141
Author(s):  
Leidy M. Chacua ◽  
Germán Ayala ◽  
Hernán Rojas ◽  
Ana C. Agudelo
Keyword(s):  
Shear Stress ◽  
Sugar Cane ◽  
Rheological Behaviour ◽  
Soluble Solids ◽  
Soluble Solids Content ◽  
Arrhenius Model ◽  
Consistency Coefficient ◽  
Flow Behaviour Index ◽  
Solids Content ◽  
Behaviour Index

AbstractThe rheological behaviour of vinasses derived from sugar cane was studied as a function of time (0 and 600 s), soluble solids content (44 and 60 °Brix), temperature (10 and 50°C), and shear rate (0.33 and 1.0 s−1). The results indicated that vinasses were time-independent at 25°C, where shear stress values ranged between 0.01 and 0.08 Pa. Flow curves showed a shear-thinning rheological behaviour in vinasses with a flow behaviour index between 0.69 and 0.89, for temperature between 10 and 20°C. With increasing temperature, the flow behaviour index was modified, reaching values close to 1.0. The Arrhenius model described well the thermal activation of shear stress and the consistency coefficient as a function of temperature. Activation energy from the Arrhenius model ranged between 31 and 45 kJ mol−1. Finally, the consistency coefficient as a function of the soluble solids content and temperature was well fitted using an exponential model (R2= 0.951), showing that the soluble solids content and temperature have an opposite effect on consistency coefficient values.

scholarly journals Effect of Temperature and Used Ingredients on Rheological Parameters of Pancake Dough

2013 ◽  
Vol 16 (3) ◽  
pp. 63-66
Author(s):  
Peter Hlaváč ◽  
Monika Božiková
Keyword(s):  
Rheological Properties ◽  
Dynamic Viscosity ◽  
Kinematic Viscosity ◽  
Fat Content ◽  
Effect Of Temperature ◽  
Rheological Parameters ◽  
Rotational Viscometer ◽  
Two Samples ◽  
Dynamic And Kinematic Viscosity ◽  
Temperature Dynamic

Abstract This paper presents the selected rheological properties of pancake dough such as dynamic and kinematic viscosity and fluidity. The effect of used ingredients and temperature on rheological properties is investigated. Measurements were performed on three pancake dough samples. In two samples, there was used milk with a different fat content, and in the third sample, all ingredients were in a powder state. A digital rotational viscometer Anton Paar DV-3P was used for measuring the rheological properties. The principle of viscometer measurement is based on the dependence of sample resistance to probe rotation. Results of measurements are shown as graphical dependencies of rheological parameters on temperature. Exponential functions were used to express the dependencies of all rheological parameters on temperature. Dynamic and kinematic viscosity decreased, and fluidity increased with temperature. The highest values of dynamic viscosity were obtained for pancake dough from powder ingredients. A higher fat content of used milk caused higher values of dynamic viscosity.

Evaluation of some mathematical models of solar radiation received by a ground collector

2016 ◽  
Vol 13 (4) ◽  
pp. 376-380 ◽  
Author(s):  
Abdelouahab Zaatri ◽  
Norelhouda Azzizi
Keyword(s):  
Solar Radiation ◽  
Solar Energy ◽  
Mathematical Models ◽  
Design Methodology ◽  
Energy Systems ◽  
Ground Level ◽  
Content Type ◽  
Design And Optimization ◽  
Best Fit ◽  
Complex Influence

Purpose Using modeling approaches, this paper aims to propose different mathematical models for estimating the different components of the solar radiation as well as the received solar energy by a collector. Design/methodology/approach In this article, the authors consider three mathematical models to estimate the solar radiation captured at ground level by a solar collector. These models are Capderou model, Liu & Jordan model and R.sun model. In the context of the design of experiments, we performed measurements of solar radiation received by a collector using a pyranometer. The obtained measurements were compared with the three mathematical models. Findings The comparison enabled the subsequent evaluation to determine the most appropriate model that best fit for our region. As a result, the Capderou model reveals to be the most suitable for our region. Originality/value Estimation of solar radiation at ground level (received by a collector) is of paramount importance for the design and optimization of solar energy systems. Nevertheless, many factors influence the amount of energy received by a collector situated at a ground, such as the longitude of the location, latitude, altitude, tilt collector orientation, temperature and humidity of the environment, wind speed, etc. Because of the complex influence of these parameters, the received solar radiation by the collector is a dynamical and a random process.

Rheological Characteristics of Juniperus drupacea Fruit Juice (pekmez) Concentrated by Boiling

2008 ◽  
Vol 14 (4) ◽  
pp. 321-328 ◽  
Author(s):  
M. Akbulut ◽  
H. Çoklar ◽  
G. Özen
Keyword(s):  
Flow Characteristics ◽  
Shear Thickening ◽  
Solid Content ◽  
Soluble Solids ◽  
Effect Of Temperature ◽  
Coefficient Of Determination ◽  
Rheological Parameters ◽  
Soluble Solid Content ◽  
Rotational Viscometer ◽  
Soluble Solid

Rheological parameters of Juniperus drupacea fruit pekmez were evaluated using a rotational viscometer at 10, 20, 30, 40, and 50 °C and at concentrations of 62.8, 68.9, 72.0, and 75.2% total soluble solids. The flow characteristics of Juniperus drupacea fruit pekmez were described by the power law and Herschel—Bulkley models. The Herschel—Bulkley model was found to be the best to describe the rheological property with the coefficient of determination higher than 0.993. Juniperus drupacea pekmez exhibited a time-independent shear thickening behavior. The effect of temperature on viscosity can be described by means of an Arrhenius equation. Depending on the soluble solid contents, the activation energies for flow of diluted samples vary from 78.23 to 60.38 kJ/mol. The effect of soluble solids on viscosity can be described by an exponential equation. Experimental data were fitted to several models in order to describe the effect of temperature and soluble solid content. The combined effect of temperature and soluble solid content on viscosity was also formulated.

Shear Rate Corrections for Herschel-Bulkley Fluids in Couette Geometry

2008 ◽  
Vol 18 (3) ◽  
pp. 34482-1-34482-11 ◽  
Author(s):  
Vassilios C. Kelessidis ◽  
Roberto Maglione
Keyword(s):  
Flow Behavior ◽  
Flow Equation ◽  
Oil Field ◽  
Rheological Parameters ◽  
Concentric Cylinder ◽  
Flow Behavior Index ◽  
Shear Rates ◽  
Power Law Fluids ◽  
Good Agreement ◽  
Behavior Index

AbstractA methodology is presented to invert the flow equation of a Herschel-Bulkley fluid in Couette concentric cylinder geometry, thus enabling simultaneous computation of the true shear rates, γ̇HB, and of the three Herschel-Bulkley rheological parameters. The errors made when these rheological parameters are computed using Newtonian shear rates, γ̇N, as it is normal practice by research and industry personnel, can then be estimated. Quantification of these errors has been performed using narrow gap viscometer data from literature, with most of them taken with oil-field rheometers. The results indicate that significant differences exist between the yield stress and the flow behavior index computed using γ̇HB versus the parameters obtained using γ̇N and this is an outcome of the higher γ̇HB values. Predicted true shear rates and rheological parameters are in very good agreement with results reported by other investigators, who have followed different approaches to invert the flow equation, both for yield-pseudoplastic and power-law fluids.

Processing a Brookfield Rotational Viscometer Measurement Results in the MATLAB

2020 ◽  
Vol 834 ◽  
pp. 82-89
Author(s):  
Evgenii Igorevich Kurkin ◽  
Vladislava Olegovna Chertykovtseva ◽  
Yaroslav Vyacheslavovich Zakhvatkin
Keyword(s):  
Experimental Data ◽  
Carbon Fibers ◽  
Power Law Model ◽  
Rotational Viscometer ◽  
Measurement Results ◽  
Automatic Capture ◽  
Type Power ◽  
Short Carbon ◽  
Good Agreement

The Brookfield_to_MATLAB and ViscosityApproximation codes for processing of experiments results for determination of viscosity on a rotational Brookfield DV3T viscometer is developed in the MATLAB. The codes allow to carry out automatic capture data, to calculate the shear rate for standard spindles RV-1 ... RV-7, to sort the measurement results on temperatures, to combine the experimental data and to determine the coefficients of the Andrade type power-law model. Paper describes experiment results on determination of viscosity of the epoxy binder reinforced by short carbon fibers. The coefficients of the viscosity model are determined by the linear regression coefficients. The obtained determination coefficient shows a good agreement of the model with the experimental data. The results are used for study various contents of a mass fraction of fibers: 0%, 5%, 10%, and 15%.

Effective atomic number of Mn–Co–Fe2O3 ternary alloys using the Rayleigh to Compton scattering ratio

2017 ◽  
Vol 95 (4) ◽  
pp. 402-406 ◽  
Author(s):  
M. Büyükyıldız ◽  
M. Kurudirek
Keyword(s):  
Atomic Number ◽  
Effective Atomic Number ◽  
Ternary Alloys ◽  
Interpolation Procedure ◽  
Scattering Ratio ◽  
Relative Differences ◽  
The Given ◽  
Best Fit ◽  
Good Agreement ◽  
Versus Method

The objective of this work is to determine effective atomic number (Zeff) of Fe2O3(0.2)–Mnx–Coy (x + y = 0.8) ternary alloys using scattering of gamma photons and to compare available methods used to calculate Zeff. For this purpose, we have developed a fitting equation using the ratio of Rayleigh (R) to Compton (C) scattering intensity, R/C for the calculation of effective atomic number of ternary alloy (i.e., Mn–Co–Fe2O3). R and C scattering intensities for the given materials have been measured using a mono-energetic beam of 59.54 keV gamma rays and a scattering angle of 130° (x = 4.36 Å−1). The R/C ratios of elements with 20 ≤ Z ≤ 30 were used to constitute the best fit equation. R/C scattering ratios, when plotted as a function of atomic number, results in a fitted equation, which is then used for derivation of Zeff of the alloys. Also, experimental R/C values were used to determine effective atomic number of the alloys by using interpolation procedure. For comparison, Zeff of alloys were also calculated using different methods. Maximum relative differences between Zeff for experimental and theoretical results were found to be ≤8.04% (exp. 1 (fitting) versus method 6) and were found to be ≤8.99% (exp. 2 (interpolation) versus method 7) indicating a good agreement for the chosen alloys.

Oscillatory pipe flows of a yield-stress fluid

2010 ◽  
Vol 658 ◽  
pp. 211-228 ◽  
Author(s):  
YONG SUNG PARK ◽  
PHILIP L.-F. LIU
Keyword(s):  
Yield Stress ◽  
Numerical Solutions ◽  
Unsteady Flows ◽  
Rheological Parameters ◽  
Viscoplastic Model ◽  
Pipe Flows ◽  
Yield Stress Fluid ◽  
Piv Technique ◽  
Elastic Spring ◽  
Good Agreement

Oscillatory pipe flows of aqueous Carbopol solutions are investigated both experimentally and analytically. Using the PIV technique, the velocity profiles are measured and compared with the numerical solutions based on an elasto-viscoplastic rheological model, in which an elastic spring is serially connected to a regularized Bingham viscoplastic model. The rheological parameters, such as shear modulus of elasticity, yield stress and viscosity, are estimated from steady-shear measurements. Good agreement between the experiments and the model results is observed. It is apparent that the elasticity plays an important role in the unsteady flows of the soft yield-stress fluid studied herein.

The Effects of Fat and Non Fat Dry Matter Concentration and Storage Time on the Physical Properties and Acidity of Yoghurts Made with Probiotic Cultures

2006 ◽  
Vol 12 (6) ◽  
pp. 467-476 ◽  
Author(s):  
Ö. Gün ◽  
N. D. Işsikli
Keyword(s):  
Physical Properties ◽  
Apparent Viscosity ◽  
Dry Matter ◽  
Storage Time ◽  
Shear Thinning ◽  
Flow Behaviour ◽  
Consistency Coefficient ◽  
Flow Behaviour Index ◽  
And Storage ◽  
Behaviour Index

The effects of fat and non fat dry matter (NFDM) concentration and storage time on the physical properties and acidity of yoghurts made using commercial probiotic cultures (ABY and ABT-1) were investigated by using response surface methodology. All yoghurts made with ABY and ABT-1 cultures exhibited shear thinning behaviour. The power low model was used to describe the shear thinning behaviour of yoghurt samples. The flow behaviour index ( n) and the consistency coefficient ( m) were determined. NFDM levels in milk strongly affected syneresis, apparent viscosity at a constant speed of 100rpm, flow behaviour index and the consistency coefficient. Titratable acidity and pH were mainly affected by the storage time. Under all conditions examined, yoghurt made with ABT-1 culture had higher apparent viscosity, consistency coefficient and pH value than those of the yoghurt made using ABY culture.

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