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MSE course syllabi

Materials Science and Engineering 711

Solidification Science

 

Course Description:

Thermodynamics of undercooling, local equilibrium, and interface non-equilibrium. Macro-analysis of solidification dynamics, segregation, and shrinkage cavity. Micro-analysis of microstructure formation: dendritic, eutectic, peritectic and monotectic growth. Nano-analysis of nucleation and growth.

Level & Credits:

G, 3 cr hrs, 3 hrs of lecture

Prerequisites:

None

Objective:

To introduce the graduate student to the science of solidification of alloys.

Text:

Science and Engineering of Casting Solidification by Doru Stefanescu.

GRADE DETERMINED AS FOLLOWS:

40% - average of two one-hour tests

35% - final exam

25% - homework

Pedagogical Techniques:

Lecture method used with class discussion encouraged.

Topics/Structure:

  1. Length-scale in solidification analysis
  2. Thermodynamics of solidification
    2.1 Equilibrium
    2.2 The undercooling requirement
    2.3 Hierarchy of equilibrium
    2.4 Local interface equilibrium
    2.5 Interface non-equilibrium
  3. Macro-scale phenomena - formation of macrostructure
    3.1 Relevant transport equations
    3.2 Introduction to the mathematics of diffusive transport
  4. Macro-mass transport
    4.1 Solute diffusion controlled segregation
    4.2 Analysis of solute redistribution
    4.3 Fluid flow controlled segregation
  5. Macro-Energy Transport
    5.1 Governing equation for energy transport
    5.2 Boundary conditions
    5.3 Analytical solutions for steady-state solidification of castings
    5.4 Analytical solutions for non-steady-state solidification of castings
  6. Macro-modeling of solidification; Numerical approximation methods
    6.1 Problem formulation
    6.2 Discretization of governing equations
    6.3 Solution of the discretized equations
    6.4 Applications of macro-modeling of solidification
  7. Micro-scale phenomena and interface dynamics
    7.1. Problem formulation
    7.2. Nucleation
    7.3. Micro-solute redistribution in alloys and microsegregation
    7.4. Interface stability
  8. Cellular and dendritic growth
    8.1. Morphology of primary phases
    8.2. Interface undercooling and growth velocity models for dendrites
    8.3 Tip velocity models
    8.4 Dendritic arrays models
    8.5 Volume averaged dendrite models
    8.6 Complex geometry models
    8.7 Dendritic arm spacing and coarsening
    8.8 The columnar-to-equiaxed transition
  9. Eutectic solidification
    9.1 Types of eutectics
    9.2 Cooperative eutectics
    9.3 Operating point of cooperative eutectics
    9.4 Divorced eutectics
    9.5 Modification of eutectics
    9.6 Interface stability of eutectics
    9.7 Competitive growth of eutectic and dendritic phases
    9.8 Equiaxed eutectic grain growth
  10. Peritectic and monotectic solidification
    10.1 Peritectic solidification
    10.2 Monotectic Solidification
  11. Solidification in the presence of a third phase
    11.1 Interaction of solid inclusions with the solid/liquid interface
    11.2 Microshrinkage
  12. Atomic scale phenomena: nucleation and growth
    12.1 Homogeneous nucleation
    12.2 Heterogeneous nucleation
    12.3 Growth kinetics

Academic Integrity, Academic Misconduct

Academic misconduct may be found in any action that tends to distort the accurate assessment of any student’s individual accomplishments that are evaluated for the purpose of grading or conferring academic credit. Note that a student may be guilty of academic misconduct, for example, by cheating, collaborating, plagiarizing, or by allowing another student to cheat, collaborate, or plagiarize. Note also that the distortion applies, for example, to exams, homework assignments, and laboratory work. To the extent that any class activity (for example: attendance or participation) is used for evaluation for the purpose of grading or conferring academic credit, falsifying or distorting such activity, or permitting another student to falsify or distort such activity, represents academic misconduct.

Additional guidance about what represents academic integrity and misconduct, and related university-wide policies and procedures are available at the following locations:

http://oaa.osu.edu/coam/faq.html

http://oaa.osu.edu/coam/ten-suggestions.html

Course-specific exceptions or amplifications to the departmental and university statements outlined above will be provided by the faculty instructor in writing, preferably as part of the course syllabus.

Note: Students should not request nor accept guidance on these matters from a teaching assistant, fellow student, or anyone other than the faculty instructor of record for this course.

Disabilities Statement

Any student who feels s/he may need an accommodation based on the impact of a disability should contact the Office for Disability Services at 614-292-3307 in room 150 Pomerene Hall to coordinate reasonable accommodations for students with documented disabilities. (URL: http://www.ods.ohio-state.edu/)

Advice on such matters is also available from the MSE department’s undergraduate adviser (1xx-6xx courses) and graduate coordinator (7xx-9xx courses) whose offices may be found in room 477 Watts Hall.

Megan Daniels, Undergraduate Advisor, (614) 292-3145, e-mail Megan concerning the MSE undergrad studies

Mark Cooper, Graduate Studies Coordinator, (614) 292-7280, e-mail Mark concerning the MSE graduate studies