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FST-306 — UNIT OPERATIONS IN FOOD PROCESSING: Lecture Note

Food Science and Technology · 300 Level

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This is the complete lecture note for FST-306 UNIT OPERATIONS IN FOOD PROCESSING, prepared for Food Science and Technology students at 300 Level. You can read it online below, open it in the full viewer, or download the PDF for offline study. It pairs with the course's video lectures, so you can read and watch together.

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LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS

LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS Course code: FST306 Course title: Unit Operations in Food Processing Course credit load: 3 units List of Series: 1. Foundations of Units and Dimensional Analysis in Food Processing 2. Principles of Unit Operations in Food Process Engineering 3. Material Handling and Preliminary Operations in Food Systems 4. Separation Processes in Food Engineering: Mechanical, Membrane, and Contact Equilibrium Methods 5. Evaporation Principles and Applications in Food Processing 1.1 Fundamentals of Units in Food Processing • 1.1.1 Definition and classification of units • 1.1.2 SI units and derived units • 1.1.3 Importance of unit consistency in food engineering 1.2 Dimensional Analysis Principles • 1.2.1 Concept of dimensions and dimensional homogeneity • 1.2.2 Buckingham Pi theorem and applications • 1.2.3 Role of dimensional analysis in simplifying food process problems 1.3 Applications of Units and Dimensional Analysis in Food Processing • 1.3.1 Scaling and similarity in food process equipment • 1.3.2 Practical examples in material and energy balance • 1.3.3 Case studies in food engineering operations Introduction In food processing, every calculation and design decision depends on the correct use of units and the application of dimensional analysis. Imagine trying to measure the flow of milk in litres while calculating energy in joules without a clear system of conversion. Confusion would arise, and errors could easily occur. This Series provides the foundation that ensures accuracy, consistency, and clarity in food process engineering. By mastering units and dimensional analysis, you will be

LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS better prepared to handle more complex operations such as material balances, separation processes, and evaporation principles later in the course. The aim of this Series is to equip you with the ability to define and classify units, apply dimensional analysis principles, and evaluate practical applications in food processing. In doing so, you will gain the skills needed to analyse and solve engineering problems with precision and confidence. We shall commence this Series by exploring the fundamentals of units in food processing, including their classification and the importance of consistency. Next, we will move on to the principles of dimensional analysis, focusing on concepts such as dimensional homogeneity and the Buckingham Pi theorem. Finally, we will wrap up by examining applications of units and dimensional analysis in food processing, where you will see how these principles are used in scaling, material and energy balances, and real-world case studies. Series Learning Outcomes Upon completing this Series, you should be able to: SLO 1.1 define the different types of units used in food processing and classify them appropriately, SLO 1.2 explain the importance of maintaining unit consistency in food engineering calculations, SLO 1.3 describe the principles of dimensional analysis, including dimensional homogeneity, SLO 1.4 apply the Buckingham Pi theorem to simplify food process engineering problems, SLO 1.5 analyse practical applications of units and dimensional analysis in scaling, material balances, and energy balances, and SLO 1.6 evaluate case studies that demonstrate the role of units and dimensional analysis in food processing operations. 1.1 Fundamentals of Units in Food Processing 1.1.1 Definition and classification of units In food engineering, units are standard quantities used to express and measure physical properties such as mass, length, time, and temperature. A unit is defined as a fixed magnitude of a physical quantity, adopted by convention, and used as a standard for measurement. Units are classified into fundamental units, which represent basic physical quantities (for example, metre for length, kilogram for mass, second for time), and derived units, which are combinations of fundamental units (for example, joule for energy, expressed as kg·m²/s²). Fill in the blank: The unit of energy in the SI system is the ______.

LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS Diagram showing fundamental and derived units in the SI system Caption: Figure 1.1 Classification of units in the SI system 1.1.2 SI units and derived units The SI system (International System of Units) is the globally accepted standard for measurement in science and engineering. It provides seven fundamental units: metre (m), kilogram (kg), second (s), ampere (A), kelvin (K), mole (mol), and candela (cd). From these, numerous derived units are formed, such as newton (N) for force, joule (J) for energy, and pascal (Pa) for pressure. Fill in the blank: The SI unit of pressure is the ______.

LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS Caption: Table 1.1 Fundamental and derived SI units relevant to food processing Short description: A table listing fundamental units (length, mass, time, temperature) and derived units (force, energy, pressure) with their symbols. 1.1.3 Importance of unit consistency in food engineering Maintaining unit consistency means ensuring that all values in a calculation are expressed in compatible units. Unit consistency is the practice of using the same measurement system throughout a calculation to avoid errors. Fill in the blank: When performing calculations, always ensure that all values are expressed in ______ units.

LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS Caption: Box 1.1 Common unit conversion factors in food processing Short description: A box listing conversion factors such as 1 kcal = 4184 J, 1 bar = 100,000 Pa, 1 litre = 0.001 m³. Pilot questions 1.1 1. Which of the following is a fundamental unit in the SI system: joule, metre, pascal, or newton? 2. What is the SI unit of temperature? 3. Why is unit consistency important in food engineering calculations? 4. Give one example of a derived unit and its corresponding fundamental units. 5. Convert 2 kcal into joules using the appropriate conversion factor. 1.2 Dimensional Analysis Principles 1.2.1 Concept of dimensions and dimensional homogeneity In engineering, dimensions are the physical nature of a quantity expressed in terms of fundamental units such as length, mass, time, and temperature. Dimensional homogeneity refers to the requirement that all terms in a valid physical equation must have the same dimensions. Fill in the blank: A physically valid equation must be ______ in terms of dimensions.

LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS Diagram showing examples of dimensional homogeneity in equations Caption: Figure 1.2 Illustration of dimensional homogeneity in physical equations 1.2.2 Buckingham Pi theorem and applications The Buckingham Pi theorem is a method used in dimensional analysis to reduce complex physical problems into dimensionless groups. A dimensionless group is a combination of variables that has no units. Fill in the blank: The Buckingham Pi theorem reduces a problem with n variables and k dimensions into ______ dimensionless groups.

LA-NET | ONLINE LEARNING VIDEO PLATFORM FOR POST-SECONDARY & HIGHER INSTITUTION STUDENTS Caption: Table 1.2 Common dimensionless numbers in food engineering Short description: A table listing dimensionless numbers such as Reynolds number, Prandtl number, and Nusselt number, with their significance in food processing. 1.2.3 Role of dimensional analysis in simplifying food process problems Dimensional analysis simplifies complex engineering problems by reducing variables into dimensionless groups. In food processing, it is used to design equipment, predict performance, and ensure efficiency. Fill in the blank: Dimensional analysis simplifies engineering problems by reducing them into ______ groups.

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