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School of Engineering Department of Mechanical and Aeronautical Engineering Thermoflow MTV310 Lecturers: Prof Ken Craig Last Revision: 20 March 2016 Copyright reserved

TABLE OF CONTENTS ORGANISATIONAL COMPONENT... 3 1. USING THE STUDY GUIDE... 3 2. DEPARTMENTAL STUDY GUIDE... 3 3. GENERAL PREMISE AND EDUCATIONAL APPROACH... 3 4. LECTURERS, VENUES AND CONSULTING HOURS... 4 5. WHAT TO EXPECT OF THE LECTURERS... 5 6. WHAT WE EXPECT OF YOU AS STUDENT... 5 7. STUDY MATERIALS... 5 8. LEARNING ACTIVITIES... 6 9. RULES OF ASSESSMENT... 7 STUDY COMPONENT... 7 10. INTERACTION WITH OTHER MODULES... 7 11. MODULE STRUCTURE... 9 12. STUDY THEME DESCRIPTIONS... 10 Appendix A: REGULATIONS REGARDING PRACTICALS... 16 Appendix B: ECSA OUTCOME 2... 17

ORGANISATIONAL COMPONENT 1. USING THE STUDY GUIDE This document consists of three parts. In the first part, introductory and organisational information are given, for example who the lecturer is, what to expect from the lecturer and what is expected from you. The second part contains very important study component information and the third part is the laboratory and experimental guides. 2. DEPARTMENTAL STUDY GUIDE This study guide is a crucial part of the general study guide of the Department. In the study guide of the Department, information is given on the mission and vision of the department, general administration and regulations (professionalism and integrity, course related information and formal communication, workshop use and safety, plagiarism, class representative duties, sick test and sick exam guidelines, vacation work, appeal process and adjustment of marks, university regulations, frequently asked questions), ECSA outcomes and ECSA exit level outcomes, ECSA knowledge areas, CDIO, new curriculum and assessment of cognitive levels. It is expected that you are very familiar with the content of the Departmental Study Guide. It is available in English and Afrikaans on the Department s website. English: http://www.up.ac.za/media/shared/120/noticeboard/study%20guides/departmentalstudyguide_eng_2 015.zp40263.pdf Afrikaans: http://www.up.ac.za/media/shared/120/noticeboard/departementele-studiegids-afr- 2016.zp77599.pdf Take note of the specific instructions in the above study guide on: a. Safety b. Plagiarism c. What to do if you were sick (very important)? d. Appeal process on the adjustment of marks 3. GENERAL PREMISE AND EDUCATIONAL APPROACH The aim of the module Thermoflow MTV310 is to provide the student with the basic principles of fluid mechanics and conduction heat transfer and their application in a variety of practical engineering problems. After successful completion of the course, the student will be able to solve such problems independently. The general aim with this module is to emphasise understanding rather than memorising, in order to stimulate creative thinking and the development of innovative skills amongst students in the area of fluid mechanics and introductory heat transfer. Fluid mechanics is a science that describes the mechanics and dynamics of fluids (liquids and gases) and is based on the conservation laws of mass, momentum and energy. These three laws are continuously cast in the most applicable and simplest form to describe the problem at hand. The application field of fluid mechanics covers a wide range of disciplines

that include aircraft and vehicle propulsion, stability and buoyancy of ships and submarines, numerical simulation of fluid flow, experimental model tests, drag on passenger cars, aircraft and projectiles, and channel flow, to name but a few. Introductory heat transfer is presented in the latter part of the module in preparation for the module Thermoflow MTV410 presented in the 4 th year of study for Mechanical Engineering students. The focus in this section is on conduction heat transfer. The course module is one of the cornerstones of the Thermofluids curriculum in the Mechanical Engineering degree together with modules such as Thermodynamics, Aerodynamics, Fluid and Thermal machines, and Heat Transfer. A problem-driven approach to learning is followed. Student-centred and co-operative learning and teaching methods are applied during lectures in order to optimally develop the above skills, as well as to stimulate the development of communication skills, interpersonal skills and group dynamics. It is expected that you would participate in discussions during lectures, as your fellow students are dependent on your inputs. Refer to the Departmental Study Guide for the outcomes of this Module in the ECSA framework. 4. LECTURERS, VENUES AND CONSULTING HOURS Lecturers Teaching assistants Name Room No. and Building Telephone No. and E-mail Address Prof Ken Craig Eng III 6-86 420-3515 (W) (course coordinator) 083-310-8946 (cell) ken.craig@up.ac.za TBA Location of the Laboratory for practicals: Wind tunnel Lab Consulting hours: Refer to schedule outside office door. Ken Craig: 5 lecture periods are reserved for consultation during lecture weeks. Additional appointments can be made per email as indicated. Mailbox:

All practical reports must be handed to the relevant teaching assistant one week after the practical. 5. WHAT TO EXPECT OF THE LECTURERS The lecturers undertake to: a. share with you their knowledge and experience and, in doing so, prepare you for practice; b. attempt to establish a passion for the subject within you and aid your academic development; c. hand out test results as soon as possible; d. be well-prepared for formal lectures; e. do everything in their ability to explain the work to you as well as possible and to make it as understandable as possible; f. treat you in a professional manner; g. be fair and courteous towards you at all times; h. never humiliate you for asking a question during lectures (even if you and/or your class-mates should regard it as a 'stupid' question); i. do everything in their power to help you pass the course. 6. WHAT WE EXPECT OF YOU AS STUDENT We expect you to: a. show loyalty and integrity; b. be diligent and enthusiastic in your work; c. behave in a disciplined manner in class; d. discuss any problems you may experience with regard to the subject with me as soon as possible (please refer to the consultation times section) e. ask questions freely during lectures; f. act professionally. 7. STUDY MATERIALS Prescribed text books: Frank M White, Fluid Mechanics, Seventh Edition, McGraw-Hill.

Yunus A. Cengel and Afshin Ghajar, Heat and Mass Transfer: Fundamentals and Applications, Fifth Edition, McGraw-Hill. These books will be used extensively and it is imperative that each student obtains copies. Both these text books are also used for the module MTV 410. There are many other text books for these classical fields of engineering that contain essentially the same information. The internet also has many sources for fluid mechanics and heat transfer. Class notes: Class notes of a fill-in type will be provided electronically to students in PDF format. These will correspond to the Powerpoint slides used in class. At the completion of each section, complete slides will be made available in PDF format. Study guide: This study guide has been compiled with care to help you work independently and to provide a structured learning environment. The document may be modified by means of a notice in class or on ClickUP. 8. LEARNING ACTIVITIES Lectures: 3 lectures per week for 12 weeks. It is expected from you to spend a total of 160 hours on this module (16 credits). In addition, it is expected that you attend class regularly and cooperate in class discussions. Group work: Modern engineering education places a lot of emphasis on the ability of student to operate in groups. For this module you will be divided into groups of 4 or 5. These groups will cooperate during practicals and assignments. For all group work only one consolidated report is handed in. To prevent certain members not participating, each student will perform an individual evaluation of each other s contribution. Assignments and problems: The regular working through problems and assignments as announced in class is of critical importance in the mastering of the module. It is therefore expected that you do these problems regularly. These problems do not have to be handed in, but will be tested regularly. Practicals There are 3 compulsory practicals: 1. Aerodynamics experiment 2. Fluid friction experiment 3. Flow visualization experiment See Appendix B for regulations regarding practicals. The scheduling of practicals will be done through ClickUP.

Demonstrations: During class demonstrations will be given to emphasise and illustrate the study material. These will take the form of animations. Tests and exams: All tests and exams are open book in an attempt to simulate the engineering environment with the availability of reference material. The emphasis during assessment is therefore continually placed on the approach to problem solving and insight, rather than memorisation and repeating of facts. The allowed material will be limited to class notes, previous tests and memoranda and text books. No electronic devices will be allowed. The standard practice of the Mechanical Engineering department is followed when students are absent from tests and exams. Refer to Departmental Study Guide. 9. RULES OF ASSESSMENT Semester marks are calculated as follows: Test 1 35% Test 2 35% Practicals and class tests 30% The final mark is calculated as follows: Semester mark: 50% Exam mark: 50% To gain exam entrance in this module, a candidate must have a semester mark of at least 40%, must attend all practicals (signature required), must sign all the relevant practical reports and must achieve at least 50% in each practical. To pass the module, a final mark of 50% is required. A candidate must also pass assessment of ECSA outcome 2, which will be assessed according to the document in Appendix B. The ECSA outcome 2 assessment sheet will be applicable for tests and exams. STUDY COMPONENT 10. INTERACTION WITH OTHER MODULES Thermoflow forms part of the Thermofluids theme of the Mechanical and Aeronautical Engineering course. The linkage with other modules in the degree is as follows:

FSK116 Physics MTX221 Thermodynamics MTX311 Thermodynamics MTV420 Thermal and Fluid Machines WTW*** Mathematics courses MTV310 Thermoflow MTV410 Thermoflow MKM411 Computational Fluid Dynamics MLV420 Aeronautics MOX410/MSC4** Design/ Research Project Formal pre-requisite

11. MODULE STRUCTURE The module is composed from the following study units and themes: Study theme Study units Notional hours Number of lectures 1. Basic principles: Fluids 1.1 The concept of a fluid and the fluid as a continuum 1.2 Dimensions and units 1.3 Description of a flow field 1.4 Properties of fluids 4 2 2. Fluid statics 2.1 Pressure and pressure gradient 22 5 2.2 Hydrostatic pressure distribution 2.3 Hydrostatic pressure in gases 2.4 Manometers and barometers 2.5 Hydrostatic forces on submerged surfaces, buoyancy and stability 3. Integral approach 3.1 Closed System vs. control volume 36 8 3.2 Mass balance and energy balance 3.3 Reynolds transport theorem 3.4 Conservation of mass 3.5 Conservation of linear and angular momentum 3.6 Conservation of energy 3.7 Bernoulli equation 4. Similarity and dimensional analysis 4.1 Dimensional analysis 18 4 4.2 Similarity 4.3 Experimentation and dimensionless variables 5. Viscous flow in ducts 5.1 Head loss and friction factor 24 6 5.2 Moody diagram 6. Basic principles: Heat and mass transfer 5.3 Minor losses in pipe systems 6.1 Heat loss and other forms of energy 12 2 6.2 The first law of thermodynamics 6.3 Heat transfer mechanisms 6.4 Conduction 6.5 Convection 6.6 Radiation 7. Heat conduction equation 7.1 Introduction 24 4 7.2 One-dimensional heat conduction

equation 7.3 General heat conduction equation 7.4 Boundary and initial conditions 7.5 Solution of steady one-dimensional heat conduction problems 7.6 Heat generation in a solid 7.7 Variable thermal conductivity 8. Steady heat conduction 8.1 Steady heat conduction in plane walls 20 3 8.2 Thermal contact resistance 8.3 Generalised thermal resistance networks 8.4 Heat conduction in cylinders and spheres 8.5 Critical radius of insulation 8.6 Heat transfer from finned surfaces 8.7 Heat transfer in common configurations Total 160 34 12. STUDY THEME DESCRIPTIONS STUDY THEME 1: BASIC PRINCIPLES - FLUIDS Duration: 2 lectures Study theme Study topics Section in White 1. Basic principles: Fluids 1.1 The concept of a fluid and a fluid as a continuum 1.1-1.5 1.2 Dimensions and units 1.6 1.3 Description of a flow field 1.7, 1.10, 1.11 1.4 Properties of fluids 1.8, 1.9 Learning outcomes: After completion of this study theme, the student should: a) understand the distinction between a fluid and a solid. b) understand the concept of a fluid as a continuum. c) know the definition of a fluid. d) understand and be able to use the SI units system and its basis of MLT dimensions. e) know the definition of understand and be able to distinguish between the different ways to describe fluid motion, i.e., velocity, streamlines, pathlines and streaklines.

f) understand the definition and distinction between the different properties of a fluid and be able to distinguish between Newtonian and non-newtonian fluids. STUDY THEME 2: FLUID STATICS Duration: 5 lectures Study theme Study topics Section in White 2. Fluid statics 2.1 Pressure and pressure gradient 2.1-2.2 2.2 Hydrostatic pressure distribution 2.3 2.3 Hydrostatic pressure in gases 2.3 2.4 Manometers and barometers 2.3-2.4 2.5 Hydrostatic forces on submerged surfaces, buoyancy and stability 2.5-2.8 Learning outcomes: After completion of this study theme, the student should: a) understand the concept of pressure and that the pressure at a point is the same in all directions and to distinguish between the pressure as a variable and its consequent pressure gradient, b) be able to evaluate the hydrostatic pressure distribution in liquids and gases, c) understand the application of the hydrostatic pressure concepts to the principles of operation of manometers and barometers, d) be able to apply the hydrostatic principles in evaluating hydrostatic forces on submerged surfaces, or in evaluating buoyancy forces and stability of floating and submerged objects.be able to prove that the pressure at a point in a fluid is the same in all directions. STUDY THEME 3: INTEGRAL APPROACH Duration: 8 lectures Study theme Study topics Section in White 3. Integral approach 3.1 Closed System vs. control volume 3.1 3.2 Mass balance and energy balance 3.1 3.3 Reynolds transport theorem 3.2 3.4 Conservation of mass 3.3 3.5 Conservation of linear and angular momentum 3.4 3.6 Conservation of energy 3.6 3.7 Bernoulli equation 3.5

Learning outcomes: After completion of this study theme, the student should: a) understand the distinction between a closed system and a control volume, b) understand the distinction between mass and energy balances for closed systems versus control volumes, c) understand the meaning of the Reynolds transport theorem as an integral balance equation for different fluid properties, e.g. mass, energy, momentum, enthalpy, etc, d) understand the derivation of the mass balance equation from the Reynolds transport theorem and be able to apply the resulting equation, e) understand the derivation of the linear momentum balance equation from the Reynolds transport theorem and be able to apply the resulting equation, f) understand the derivation of the angular momentum balance equation from the Reynolds transport theorem and be able to apply the resulting equation, g) understand the derivation of the energy balance equation from the Reynolds transport theorem and be able to apply the resulting equation, h) understand the derivation of the Bernoulli equation from the energy equation applicable to frictionless flow or along a streamline, and be able to apply the resulting Bernoulli equation. 3.1.2 Reynolds transport theorem. STUDY THEME 4: SIMILARITY AND DIMENSIONAL ANALYSIS Duration: 4 lectures Study theme Study topics Section in White 4. Similarity and dimensional analysis 4.1 Dimensional analysis 5.1-5.4 4.2 Similarity 5.5 4.3 Experimentation and dimensionless variables Learning outcomes: After completion of this study theme, the student should: a) understand the reasons for the need to use dimensional analysis, b) be able to transform the Navier-Stokes equations into a dimensionless form, c) be able to express the analytical solutions derived in theme 4 into their dimensionless form, d) be able to apply similarity conditions when planning simple fluid dynamics experiments e) be able to process experimental results into dimensionless form STUDY THEME 5: VISCOUS FLOW IN DUCTS Duration: 6 lectures Study theme Study topics Section in

White 5. Viscous flow in ducts 5.1 Head loss and friction factor 6.1 6.3 5.2 Moody diagram 6.4, 6.6, 6.7 5.3 Minor losses in pipe systems 6.9, 6.10 Learning outcomes: After completion of this study theme, the student should: a) understand the meaning of head loss and Darcy friction factor for pipe flows, b) be able to link between the skin friction coefficient evaluated in theme 4 and the Darcy friction factor, c) understand the source and derivation of the laminar straight line relationship between the friction factor and Reynolds number for the laminar flow regime in a pipe, d) understand and be able to use the Moody diagram, e) be able to solve a variety of pipe flow problems including minor losses.be able to indicate the difference between laminar and turbulent flow in channels according to their respective losses. STUDY THEME 6: BASIC PRINCIPLES: HEAT AND MASS TRANSFER Duration: 2 lectures Study theme Study topics Section in Cengel 6. Basic principles: Heat and mass transfer 6.1 Heat loss and other forms of energy 1.3 6.2 The first law of thermodynamics 1.4 6.3 Heat transfer mechanisms 1.5 6.4 Conduction 1.6 6.5 Convection 1.7 6.6 Radiation 1.8 Learning outcomes: After completion of this study theme, the student should: a) understand the distinction between a conduction, convection and radiation. b) understand how thermodynamics and heat transfer are related to each other. c) Distinguish thermal energy from other forms of energy, and heat transfer from other forms of energy transfer. d) Perform basic energy balances as well as surface energy balances. e) Solve various heat transfer problems encountered in practice.

STUDY THEME 7: HEAT CONDUCTION EQUATION Duration: 4 lectures Study theme Study topics Section in Cengel 7. Heat conduction equation 7.1 Introduction 2.1 Learning outcomes: 7.2 One-dimensional heat conduction equation 2.2 7.3 General heat conduction equation 2.3 7.4 Boundary and initial conditions 2.4 7.5 Solution of steady one-dimensional heat conduction problems 2.5 7.6 Heat generation in a solid 2.6 7.7 Variable thermal conductivity 2.7 After completion of this study theme, the student should: a) understand multidimensionality and time dependence of heat transfer, and the conditions under which a heat transfer can be approximated as being one-dimensional. b) Obtain the differential equation of heat conduction in various coordinate system, and simplify it for steady one-dimensional case. c) Identify the thermal conditions on surfaces, and express them mathematically as boundary and initial conditions. d) Solve one-dimensional heat conduction problems and obtain the temperature distributions within a medium and the heat flux. e) Analyse one-dimensional heat conduction in solids that involve heat generation. STUDY THEME 8: STEADY HEAT CONDUCTION Duration: 3 lectures Study theme Study topics Section in Cengel 8. Steady heat conduction 8.1 Steady heat conduction in plane walls 3.1 Learning outcomes: 8.2 Thermal contact resistance 3.2 8.3 Generalised thermal resistance networks 3.3 8.4 Heat conduction in cylinders and spheres 3.4 8.5 Critical radius of insulation 3.5 8.6 Heat transfer from finned surfaces 3.6 8.7 Heat transfer in common configurations 3.7 After completion of this study theme, the student should: a) understand the concept of thermal resistance and its limitations, and develop thermal resistance networks for practical heat conduction problems,

b) solve steady conduction problems that involve multilayer rectangular, cylindrical, or spherical geometries, c) identify applications in which insulation may actually increase heat transfer, d) analyse finned surfaces, and assess how efficiently and effectively fins enhance heat transfer, e) solve multidimensional practical heat conduction problems using conduction shape factors.

Appendix A: REGULATIONS REGARDING PRACTICALS General a) Practicals 1-2 each take approximately 30min to complete. Practical 3 is done in the students own time and should take approximately one afternoon. b) Times for practicals 1-2 will be chosen by groups after construction of the groups during the first two weeks of lectures. Practicals start after an announcement to this effect. The due date for Practical 3 will be announced on ClickUP. c) Groups that are not well-prepared may be refused entrance to the practical sessions. d) Each group must perform all three practicals. e) Each student must attend each practical (confirmed by signature). f) A sub-minimum of 50% for each practical is required for exam entrance. g) No student will be exempt from any practical. This includes repeating students. Reports a) Document your findings in detail. Your report should typically include the following: Aim/Motivation (complete) Method Results Conclusion and evaluation (Extremely important!) b) Hand in a group report within 5 lecture days after completing practicals 1-2. 10% will be subtracted from the mark for each day a report is late. c) Each report must have a standard cover page (refer to Plagiarism in Departmental Study Guide). The signature of each student in the group must be on the report. You are being trained to be professional engineers and must learn to assume responsibility for your own work. Add a column to the cover page where the percentage contribution of each member is indicated. Example for 4 members of group where all group members participated equally by consensus: Student A 25% Student B 25% Student C Student D 25% 25% % contribution

Appendix B: ECSA OUTCOME 2 University of Pretoria Department of Mechanical and Aeronautical Engineering MTV310 Thermofluids Assignment, Practical, Test and Exam Outcome Evaluation Sheet Evaluation in terms of ECSA Outcomes as per ECSA document PE 61 section 2. Outcome 2 is considered critical and must be passed. Outcome 2: Application of scientific and engineering knowledge The student must demonstrate competence to apply knowledge of mathematics, basic science and engineering sciences from first principles to solve engineering problems. 1. Brings mathematical, numerical analysis and statistical knowledge and methods to bear on engineering problems by using an appropriate mix of: 1.1 Formal analysis and modeling of engineering components, systems or processes. 1.2 Communicating concepts, ideas and theories with the aid of mathematics. 1.3 Reasoning about and conceptualizing engineering components, systems or processes using mathematical concepts. 1.4 Dealing with uncertainty and risk through the use of probability and statistics. 2. Uses physics laws and knowledge of the physical world as a foundation for the engineering sciences and the solution of engineering problems by an appropriate mix of: 2.1 Formal analysis and modeling of engineering components, systems or processes using principles and knowledge of the basic sciences. 2.2 Reasoning about and conceptualizing engineering problems, components, systems or processes using principles of the basic sciences. 3. Uses the techniques, principles and laws of engineering science at a fundamental level and in at least one specialist area to: 3.1 Identify and solve open-ended engineering problems. 3.2 Identify and pursue engineering applications. 3.3 Work across engineering disciplinary boundaries through cross disciplinary literacy and shared fundamental knowledge. Evaluation Matrix to assess ECSA Exit level of Outcome 2: Has the student used a correct and logical method to solve the problem? X Has the student shown all working in his/her derivation to achieve the X solution? Has the student made all the necessary assumptions to solve the problem? X Has the student explained his/her reasoning behind using the relevant X equations/method to solve the problem? Has the student considered if the solution is viable in practice under X physics laws in the physical world? Has the student made correct numerical approximations? X Result X The student must pass a minimum of 3 ticks ( ) and a total of 50% averaged over all questions to achieve Outcome 2. This matrix will be attached to each semester test and exam.