Numerical Heat Transfer and Fluid Flow I

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Introduction of Parabolic, elliptic and hyperbolic equations, finite difference approximations to derivatives, notation for functions of several variables, Parabolic equations, Explict methods, Fully Implicit ve Cranck-Nicolson Implicit methods, Solution of the implicit equations, T.D.M.A. Iteratif methods, Jakobi ve Gauss-Seitel iterations, SOR method, Discussions on boundary conditions.

Weekly Schedule

1) Introduction of numerical methods in heat conduction equation, Parabolic, elliptic and hyperbolic equations
2) Finite difference approximations to derivatives
3) Notation for functions of several variables
4) Parabolic equations
5) Explicit methods
6) Fully Implicit methods
7) Midterm Exam
8) Cranck-Nicolson Implicit methods
9) Solution of the implicit equations
10) T.D.M.A
11) Iteratif methods, Jakobi ve Gauss-Seitel iterations
12) SOR method
13) Discussions on boundary conditions.
14) Application to engineering problems
15) Application to engineering problems.
16) Final Exam

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

1) Lecture
2) Drill and Practice
3) Lab / Workshop
4) Problem Solving
5) Project Based Learning

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	30%
Contribution of Final Examination to Course Grade	70%
Total	100%

Language of Instruction

English

Work Placement(s)

Not Required