# Mathematical modelling and optimisation of the formulation and manufacture of aggregate food products

 dc.contributor.advisor Byrne, Edmond P. dc.contributor.advisor Fitzpatrick, John J. dc.contributor.author Baş, Nurşin dc.date.accessioned 2011-08-29T12:21:11Z dc.date.available 2011-08-29T12:21:11Z dc.date.issued 2010-07 dc.date.submitted 2010-07-29 dc.identifier.citation Baş, N, 2010. Mathematical modelling and optimisation of the formulation and manufacture of aggregate food products. PhD Thesis, University College Cork. en dc.identifier.uri http://hdl.handle.net/10468/396 dc.description.abstract In this PhD study, mathematical modelling and optimisation of granola production en has been carried out. Granola is an aggregated food product used in breakfast cereals and cereal bars. It is a baked crispy food product typically incorporating oats, other cereals and nuts bound together with a binder, such as honey, water and oil, to form a structured unit aggregate. In this work, the design and operation of two parallel processes to produce aggregate granola products were incorporated: i) a high shear mixing granulation stage (in a designated granulator) followed by drying/toasting in an oven. ii) a continuous fluidised bed followed by drying/toasting in an oven. In addition, the particle breakage of granola during pneumatic conveying produced by both a high shear granulator (HSG) and fluidised bed granulator (FBG) process were examined. Products were pneumatically conveyed in a purpose built conveying rig designed to mimic product conveying and packaging. Three different conveying rig configurations were employed; a straight pipe, a rig consisting two 45° bends and one with 90° bend. It was observed that the least amount of breakage occurred in the straight pipe while the most breakage occurred at 90° bend pipe. Moreover, lower levels of breakage were observed in two 45° bend pipe than the 90° bend vi pipe configuration. In general, increasing the impact angle increases the degree of breakage. Additionally for the granules produced in the HSG, those produced at 300 rpm have the lowest breakage rates while the granules produced at 150 rpm have the highest breakage rates. This effect clearly the importance of shear history (during granule production) on breakage rates during subsequent processing. In terms of the FBG there was no single operating parameter that was deemed to have a significant effect on breakage during subsequent conveying. A population balance model was developed to analyse the particle breakage occurring during pneumatic conveying. The population balance equations that govern this breakage process are solved using discretization. The Markov chain method was used for the solution of PBEs for this process. This study found that increasing the air velocity (by increasing the air pressure to the rig), results in increased breakage among granola aggregates. Furthermore, the analysis carried out in this work provides that a greater degree of breakage of granola aggregates occur in line with an increase in bend angle. dc.description.sponsorship Department of Agriculture, Fisheries and Food, Ireland (FIRM - Food Institutional Research Measure) en dc.format.mimetype application/pdf en dc.language.iso en en dc.publisher University College Cork en dc.relation.uri http://library.ucc.ie/record=b1998528~S0 dc.rights © 2010, Nurşin Baş en dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/ en dc.subject Population balance modelling en dc.subject Breakage en dc.subject Aggregation en dc.subject Simulation en dc.subject Probabilistic theory en dc.subject.lcsh Cereal products en dc.subject.lcsh Agglomeration en dc.subject.lcsh Probabilities en dc.subject.lcsh Mathematical models en dc.title Mathematical modelling and optimisation of the formulation and manufacture of aggregate food products en dc.type Doctoral thesis en dc.type.qualificationlevel Doctoral en dc.type.qualificationname PhD (Engineering) en dc.internal.availability Full text available en dc.description.version Accepted Version en dc.contributor.funder Department of Agriculture, Fisheries and Food, Ireland en dc.description.status Not peer reviewed en dc.internal.school Process and Chemical Engineering en
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