Brief summary of vector mechanics and matrix algebra, Suffix notation, Summation convention (Einstein notation) Gradient of a scalar, divergence and curl of a vector; Gradient of a vector, divergence and curl of a tensor Integral theorems for vectors and tensors: Divergence and stokes theorems Introduction to Fluid Flow Introduction to Heat Transfer Introduction to Mass Transfer Emphasizing on the similarities among transport equations Boundary and Interfaces Conditions Introduction to numerical simulation of transport equations Applications of Transport Phenomena in Materials Processing Selected Materials Processing Technologies.

### Transport Phenomena in Materials Processing (MAT 309)

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Programs\Type | Required | Core Elective | Area Elective |

Electronics Engineering | * | ||

Electronics Engineering | * | ||

Energy Minor | * | ||

Materials Science and Nano Engineering | * | ||

Materials Science and Nano Engineering (Previous Name: Materials Science and Engineering) | * | ||

Mechatronics Engineering | * | ||

Mechatronics Engineering | * | ||

Microelectronics | * | ||

Physics Minor | * | ||

Telecommunications | * |

### CONTENT

### OBJECTIVE

This course intends to introduce materials science and engineering students to the transport phenomena in materials processing. Transport phenomena is concerned with the subjects of momentum transport (fluid mechanics), energy transport (heat transfer with conduction, convection, and radiation), and mass transport (molecular and convective diffusion in fluids, and solid state diffusion in solids). The course is composed of two parts. Part I will provides introduction to fluid flow, heat transfer, and mass transfer. It includes governing equations and boundary conditions for studying materials processing. Part II covers the several specific applications to materials processing with a brief description of various materials processing technologies such as solidification, crystal growth, phase change, polymer processing, and rheology, and bulk and surface heat treating. Students will also be exposed very briefly to the numerical simulation of transport equations through finite difference formulations and coding with MATLAB. By the end of the course, students will gain mathematical modeling skill that is fundamentally important to have a better understanding of engineering problems involving momentum, heat and mass transport.

### LEARNING OUTCOMES

- Know mathematical preliminaries such as vector mechanics and matrix algebra, suffix notation, summation convention, gradient of a scalar and vector fields, divergence and curl of a vector and tensor and integral theorems for vectors and tensors (ie., divergence and Stokes theorems)
- Describe mass, momentum, energy conservations
- Know the governing equations and constitutive relations for momentum, heat and mass transfer and identify the similarities among transport equations, and be able to define boundary conditions such as Dirichlet and Neumann conditions
- Be able to solve 1-D simplified form of governing equations analytically
- Be able to discretize diffusion equation for 1-D and 2-D simple geometries using finite difference approach and solved it numerically.
- Be able to identify governing equations to be utilized in modeling of transport phenomena a given material processing and determine relevant boundary conations

### PROGRAMME OUTCOMES

**1.** Understand the world, their country, their society, as well as themselves and have awareness of ethical problems, social rights, values and responsibility to the self and to others. 5

**2.** Understand different disciplines from natural and social sciences to mathematics and art, and develop interdisciplinary approaches in thinking and practice. 5

**3.** Think critically, follow innovations and developments in science and technology, demonstrate personal and organizational entrepreneurship and engage in life-long learning in various subjects; have the ability to continue to educate him/herself. 5

**4.** Communicate effectively in Turkish and English by oral, written, graphical and technological means. 5

**5.** Take individual and team responsibility, function effectively and respectively as an individual and a member or a leader of a team; and have the skills to work effectively in multi-disciplinary teams. 5

**1.** Possess sufficient knowledge of mathematics, science and program-specific engineering topics; use theoretical and applied knowledge of these areas in complex engineering problems. 1

**2.** Identify, define, formulate and solve complex engineering problems; choose and apply suitable analysis and modeling methods for this purpose. 2

**3.** Develop, choose and use modern techniques and tools that are needed for analysis and solution of complex problems faced in engineering applications; possess knowledge of standards used in engineering applications; use information technologies effectively. 2

**4.** Have the ability to design a complex system, process, instrument or a product under realistic constraints and conditions, with the goal of fulfilling specified needs; apply modern design techniques for this purpose. 5

**5.** Design and conduct experiments, collect data, analyze and interpret the results to investigate complex engineering problems or program-specific research areas. 5

**6.** Possess knowledge of business practices such as project management, risk management and change management; awareness on innovation; knowledge of sustainable development. 1

**7.** Possess knowledge of impact of engineering solutions in a global, economic, environmental, health and societal context; knowledge of contemporary issues; awareness on legal outcomes of engineering solutions; knowledge of behavior according to ethical principles, understanding of professional and ethical responsibility. 1

**8.** Have the ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. 5

**1.** Use mathematics (including derivative and integral calculations, probability and statistics, differential equations, linear algebra, complex variables and discrete mathematics), basic sciences, computer and programming, and electronics engineering knowledge to
(a) Design and analyze complex electronic circuits, instruments, software and electronics systems with hardware/software
or
(b) Design and analyze communication networks and systems, signal processing algorithms or software 1

**1.** Applying fundamental and advanced knowledge of natural sciences as well as engineering principles to develop and design new materials and establish the relation between internal structure and physical properties using experimental, computational and theoretical tools. 1

**2.** Merging the existing knowledge on physical properties, design limits and fabrication methods in materials selection for a particular application or to resolve material performance related problems. 3

**3.** Predicting and understanding the behavior of a material under use in a specific environment knowing the internal structure or vice versa. 3

**1.** Familiarity with concepts in statistics and optimization, knowledge in basic differential and integral calculus, linear algebra, differential equations, complex variables, multi-variable calculus, as well as physics and computer science, and ability to use this knowledge in modeling, design and analysis of complex dynamical systems containing hardware and software components. 1

**2.** Ability to work in design, implementation and integration of engineering applications, such as electronic, mechanical, electromechanical, control and computer systems that contain software and hardware components, including sensors, actuators and controllers. 1

### Update Date:

### ASSESSMENT METHODS and CRITERIA

Percentage (%) | |

Final | 35 |

Midterm | 30 |

Assignment | 20 |

Participation | 5 |

Individual Project | 10 |

### RECOMENDED or REQUIRED READINGS

Readings |
1-) R. Byron Bird, Warren E. Stewart, Edwin N. Lightfoot, Transport Phenomena, 2nd Edition, Wiley |