Dimensional and Experimental Analysis of High Hydrostatic Pressure Process; Case Study: Application of Dimensionless Numbers in Millet Starch Rheological Test

Hesarinejad, Mohammad Ali; Mirzababaee, Seyyed Mahdi; TOKER, Omer Said; Yeganehzad, Samira

doi:10.22101/JRIFST.2022.329733.1328

Dimensional and Experimental Analysis of High Hydrostatic Pressure Process; Case Study: Application of Dimensionless Numbers in Millet Starch Rheological Test

Document Type : Original Paper

Authors

¹ Department of Food Processing, Research Institute of Food Science and Technology, Mashhad, Iran

² Department of Food Industry Machinery Design, Research Institute of Food Science and Technology, Mashhad, Iran

³ Department of Food Engineering, Yıldız Technical University, İstanbul, Turkey

10.22101/JRIFST.2022.329733.1328

Abstract

Most of the relationships governing many physical phenomena cannot be explicitly derived from survival principles and equations such as cohesion, Bernoulli, momentum or, more generally, the Navier-Stokes equation. The most effective way to solve this problem is to use the principles of dimensional analysis to determine the relationships governing the phenomenon. Using dimensional analysis, one can obtain the numbers and non-dimensional parameters that are involved in determining the equations governing a phenomenon. In this study, for the first time, the method of dimensional analysis was used to obtain the non-dimensional numbers governing the hydrostatic high-pressure process, because there are many variables involved in this process, and the best way to find the relationship between them is to use a dimensional analysis tool. In the next step, after identifying the influential variables using Buckingham's theory, the dimensionless numbers governing the high-pressure process are obtained. Then the measured quantities from the high-pressure tests, the frequency response and the stress-strain rate are given in the form of dimensionless numbers, pre-arranged in order, and the test substance behaviour (the millet starch) is examined. As a result, in addition to the relationship between variables and their relative importance, some material behavioural properties are also represented in the form of dimensionless graphs that differ in behaviour from conventional graphs. In the high-pressure test, the test material was subjected to a hydrostatic pressure of 200 to 600 MPa for 10 to 30 min. The results obtained from the high-pressure test showed that the rheological properties of millet starch, including the complex viscosity, can change with increasing pressure and time of application.

Keywords

Main Subjects

Food Industry Engineering - Modeling

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References

Agrawal, S. K. (1997). Fluid mechanics and machinery. Tata McGraw-Hill New Delhi.

Andre, C., Demeyre, J.-F., Gatumel, C., Berthiaux, H., & Delaplace, G. (2012). Dimensional analysis of a planetary mixer for homogenizing of free flowing powders: Mixing time and power consumption. Chemical Engineering Journal, 198, 371-378.

Barenblatt, G. I. (1987). Dimensional analysis. CRC Press.

Bhupender, S., Rajneesh, B., & Baljeet, S. (2013). Physicochemical, functional, thermal and pasting properties of starches isolated from pearl millet cultivars. International Food Research Journal, 20(4), 1555.

Buckow, R., Heinz, V., & Knorr, D. (2007). High pressure phase transition kinetics of maize starch. Journal of Food Engineering, 81(2), 469-475.

Chaudemanche, C., Henaut, I., & Argillier, J.-F. (2009). Combined effect of pressure and temperature on rheological properties of water-in-crude oil emulsions. Applied Rheology, 19(6), 62210-62211-62210-62218.

De A. Martins, R. (1981). The origin of dimensional analysis. Journal of the Franklin Institute, 311(5), 331-337. https://doi.org/https://doi.org/10.1016/0016-0032(81)90475-0

Deponte, H., Tonda, A., Gottschalk, N., Bouvier, L., Delaplace, G., Augustin, W., & Scholl, S. (2020). Two complementary methods for the computational modeling of cleaning processes in food industry. Computers & Chemical Engineering, 135, 106733.

Douzals, J. P., Perrier Cornet, J. M., Gervais, P., & Coquille, J. C. (1998). High-Pressure Gelatinization of Wheat Starch and Properties of Pressure-Induced Gels. Journal of Agricultural and Food Chemistry, 46(12), 4824-4829. https://doi.org/10.1021/jf971106p

Heydari, A., Razavi, S. M. A., Hesarinejad, M. A., & Farahnaky, A. (2021). New Insights into Physical, Morphological, Thermal, and Pasting Properties of HHP-Treated Starches: Effect of Starch Type and Industry-Scale Concentration. Starch - Stärke, 73(7-8), 2000179. https://doi.org/https://doi.org/10.1002/star.202000179

Katsurayama, G., Sobenko, L., De Camargo, A., Botrel, T. A., Frizzone, J. A., & Duarte, S. N. (2020). A mathematical model for hydraulic characterization of microtube emitters using dimensional analysis. Journal of Agricultural Science and Technology, 22(4), 1123-1135.

Kowalczyk, W., & Delgado, A. (2007). Dimensional analysis of thermo-fluid-dynamics of high hydrostatic pressure processes with phase transition. International journal of heat and mass transfer, 50(15-16), 3007-3018.

Lachin, K., Turchiuli, C., Pistre, V., Cuvelier, G., Mezdour, S., & Ducept, F. (2020). Dimensional analysis modeling of spraying operation–Impact of fluid properties and pressure nozzle geometric parameters on the pressure-flow rate relationship. Chemical Engineering Research and Design, 163, 36-46.

Lin, T., & Fernández-Fraguas, C. (2020). Effect of thermal and high-pressure processing on the thermo-rheological and functional properties of common bean (Phaseolus vulgaris L.) flours. LWT, 127, 109325.

Liu, H., Yu, L., Simon, G., Dean, K., & Chen, L. (2009). Effects of annealing on gelatinization and microstructures of corn starches with different amylose/amylopectin ratios. Carbohydrate Polymers, 77(3), 662-669.

Manjula, P., Kalaichelvi, P., & Dheenathayalan, K. (2010). Development of mixing time correlation for a double jet mixer. Journal of Chemical Technology & Biotechnology, 85(1), 115-120.

Mirzababaee, S. M., Ozmen, D., Hesarinejad, M. A., Toker, O. S., & Yeganehzad, S. (2022). A study on the structural, physicochemical, rheological and thermal properties of high hydrostatic pressurized pearl millet starch. International Journal of Biological Macromolecules, 223, 511-523.

Muthamizhi, K., & Kalaichelvi, P. (2015). Development of Nusselt number correlation using dimensional analysis for plate heat exchanger with a carboxymethyl cellulose solution. Heat and Mass Transfer, 51, 815-823.

Pan, T. Y., Gopirajah, R., Krishnamurthy, S., & Rizvi, S. S. (2020). Modeling of product temperature in a supercritical fluid extrusion process through dimensional analysis. Journal of Food Process Engineering, 43(12), e13561.

Petit, J., Six, T., Moreau, A., Ronse, G., & Delaplace, G. (2013). β-lactoglobulin denaturation, aggregation, and fouling in a plate heat exchanger: Pilot-scale experiments and dimensional analysis. Chemical Engineering Science, 101, 432-450.

Rayleigh, J. W. S. B. (1894). The Theory of Sound. Macmillan. https://books.google.com/books?id=hd8EAAAAYAAJ

Stolt, M., Oinonen, S., & Autio, K. (2000). Effect of high pressure on the physical properties of barley starch. Innovative Food Science & Emerging Technologies, 1(3), 167-175. https://doi.org/https://doi.org/10.1016/S1466-8564(00)00017-5

Streeter, V. L., Wylie, E. B., Bedford, K. W., & Saldarriaga, J. G. (1988). Mecánica de los fluidos (Vol. 7). McGraw-Hill Colombia.

Wang, B., Li, D., Wang, L.-j., Chiu, Y. L., Chen, X. D., & Mao, Z.-h. (2008). Effect of high-pressure homogenization on the structure and thermal properties of maize starch. Journal of Food Engineering, 87(3), 436-444.