Mathematical Modeling in CHBE

Course Code:

CHBE386

Course Period:

Spring

Course Type:

Core

Credits:

3

Theoric:

2

Practice:

2

Laboratory Hour:

0

ECTS:

6

Prerequisite Courses:

Computer Applications in CHBE

Course Language:

English

Course Objectives:

The aim of this course is to provide students with knowledge and abilities to model the chemical engineering problems, to develop related differential equations for deriving the design equations

Course Content:

Mathematical models for chemical engineering processes will be developed by using the fundamental laws: conservation of mass, energy and momentum. The steady/unsteady-state lumped models will be constructed and solved. The numerical techniques in solving linear/nonlinear univariate/multivariate algebraic/differential equations, such as Gaussian Elimination, Newton-Raphson, bisection and Euler methods will be discussed. An introduction to the computer package MATLAB will be made, and MATLAB will be used extensively in the numerical analysis of the resulting equations.

Corequisite:

CHBE II: Heat Transfer

Reactor Design

Course Methodology:

1: Lecture by instructor, 2: Lecture by instructor with class discussion, 3: Problem solving by instructor.

Course Evaluation Methods:

A: Written exam, B: Homework, C: Project

Vertical Tabs

Ders Tanimlari

Course Learning Outcomes

Course Learning Outcomes	Program Learning Outcomes	Teaching Methods	Assessment Methods
Non-interacting macro systems: Ability to build the first order ODE’s with single variable. Ability to solve the first order ODE’s with single variable.	1,2,3,4a,6a,8	1,2,3	A,B,C
Interacting macro systems: Ability to build the first order ODE’s with multiple variables. Ability to solve the first order ODE’s with multiple variables.	1,2,3,4a,6a,8	1,2,3	A,B,C
Ability to choose the correct coordinate system among Cartesian, cylindirical and spherical coordinate systems.	1,2,3,4a,6a,8	1,2,3	A,B,C
Micro systems with one variable: Ability to build the PDE’s with one variable. Ability to solve the PDE’s with one variable.	1,2,3,4a,6a,8	1,2,3	A,B,C
Micro systems with two variables: Ability to build the PDE’s with two variables. Ability to solve the PDE’s with two variables.	1,2,3,4a,6a,8	1,2,3	A,B,C

Course Flow

COURSE CONTENT
Week	Topics	Study Materials
1	Introduction & basic concepts in chemical engineering	Textbook, Lecture Notes
2-4	Non-interacting macro systems of mass, energy and momentum. Construction and solution of first order ODE’s with one variable.	Textbook, Lecture Notes
4-6	Interacting macro systems of mass, energy and momentum. Construction and solution of first order ODE’s with multiple variables.	Textbook, Lecture Notes
6	Midterm Exam I
6-7	Introduction of Cartesian, cylindirical and spherical coordinate systems	Textbook, Lecture Notes
8-12	Single variable micro systems of mass, energy and momentum. Construction and solution of 1st and 2nd order PDE’s with one variable.	Textbook, Lecture Notes
13	Midterm Exam II
14	Two variable micro systems of mass, energy and momentum. Construction and solution of 1st and 2nd order PDE’s with two variables.	Textbook, Lecture Notes

Recommended Sources

RECOMMENDED SOURCES
Textbook	İ. Tosun, “Modelling in transport phenomena”, Elsevier Richard G. Rice, Duong D. Do, “ Applied Mathematics and Modeling for Chemical Engineers “ , J. Wiley and Sons, 2th edition, 2012
Additional Resources	Mustafa Özilgen, “ Handbook of Food Process Modeling and Statistical Quality Control “ , 2nd ed., CRC Press,2011

Material Sharing

MATERIAL SHARING
Documents	Lecture notes and handouts
Assignments	Homeworks
Exams	Exam solutions

Assessment

ASSESSMENT
IN-TERM STUDIES	NUMBER	PERCENTAGE
Mid-terms	2	84
Assignment / Project	1	16
Total		100
CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE		40
CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE		60
Total		100

Course’s Contribution to Program

Contribution of Course to Program Outcomes
No	Program Outcomes	Contb.
i	a. Adequate uate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline;	X
	b. ability to use theoretical and applied knowledge in these areas in complex engineering problems;	X
ii	a. Ability to identify, formulate, and solve complex engineering problems;	X
	b. ability to select and apply proper analysis and modeling methods for this purpose.	X
iii	a. Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result;	X
	b. ability to apply modern design methods for this purpose.	X
iv	a. Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice;	X
	b. ability to employ information technologies effectively.	X
v	a. Ability to design experiments for investigating complex engineering problems or discipline specific research questions.
	b. Ability to conduct experiments, gather data, analyze and interpret results
vi	a. Ability to work efficiently in intra-disciplinary teams; ability to work individually	X
	b. Ability to work efficiently in multi-disciplinary teams; ability to work individually
vii	a. Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language;
	b. ability to write effective reports and comprehend written reports
	c. prepare design and production reports,
	d. make effective presentations, and
	e. give and receive clear and intelligible instructions.
viii	Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.	X
ix	a. Consciousness to behave according to ethical principles and professional and ethical responsibility;
	b. knowledge on standards used in engineering practice.
x	a. Knowledge about business life practices such as project management, risk management, and change management;
	b. awareness in entrepreneurship, innovation;
	c. knowledge about sustainable development.
xi	a. Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering;
	b. awareness of the legal consequences of engineering solutions.

ECTS

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Course Duration (Excluding the exam weeks: 12x Total course hours)	12	4	48
Hours for off-the-classroom study (Pre-study, practice)	14	4	56
Midterm examination	2	2	4
Homework	8	2	16
Project	1	30	22
Final examination	1	3	3
Total Work Load			149
Total Work Load / 25 (h)			5.96
ECTS Credit of the Course			6

Search form

Mathematical Modeling in CHBE

Vertical Tabs

Ders Tanimlari