Abstract

Enhancing heat transfer rates in heat exchangers is essential in many applications, such as in the food industry. Most fluids used in the food industry are non-Newtonian, whose viscosity is not uniform, and depends on the shear rate and temperature gradient. This is important in the selection of equipment and type of processing. The aim of this work was to numerically simulate, with a non-Newtonian fluid in laminar regime, the heat transfer process in a tube with a curved elbow. The numerical model was validated with published correlations using water as heat transfer fluid. A commercially available fruit juice was used as a non-Newtonian fluid. Its rheological properties were measured using a Modular Compact Rheometer, as well as the activation energy. The difference between outlet temperature and inlet temperature was higher for the laminar simulation (approximately 4 °C) than for the turbulent one (approximately 0.7 °C). The highest dynamic viscosity values were found at the centre of the pipe (between 0.05 and 0.09 Pa·s), with the lowest values at the wall (0.0076 Pa·s). This behaviour is explained by the pseudoplastic condition of the fruit juice. The activation energy did not yield high values, showing a moderate viscosity variation with the temperature change.

Highlights

  • In the food industry, it is important to determine the flow properties of fluid foods and their behaviour because it is related to the power requirements for the pumping and sizing of pipes during processing

  • The flow behaviour index is lower than 1, the fruit juice can be defined as a pseudoplastic fluid, with the viscosity decreasing as the shear rate increases

  • The Nu presented similar values along the inlet and outlet section, increasing the values in the planes located in the curved section, which showed a similar tendency to the results obtained under water

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Summary

Introduction

It is important to determine the flow properties of fluid foods and their behaviour because it is related to the power requirements for the pumping and sizing of pipes during processing. In these cases, it is a key aspect to determine the rheological properties when selecting the equipment and type of processing, and to understand the flow pattern and the heat transfer performance. To characterise the flow behaviour of such fluids, several mathematical models can be used, such as the Power-Law model, the Cross model, the Bingham model, the Carreau model or the Herschel–Bulkley model [1] In fluid foods, such as juices, the most common mathematical method is the Power-Law model. Ibarz et al [2]

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