Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Prof. Dr. Mehmet KAYA

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Can define and apply advanced mechanical engineering concepts.
2) Can formulate advanced engineering problems.
3) Be able to model, simulate and design dynamic systems.
4) Can be reach scientific knowledge.
5) With modern technology, it can develop an awareness of continuous learning.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7	8	9
Learning Outcomes
	1	High	High	High	High	High	Middle	Middle	Middle	High
	2	High	High	Middle	Middle	High	High	High	High	High
	3	High	High	High	High	High	High	High	High	High
	4	High	High	High	High	High	High	High	High	Middle
	5	High	High	High	High	High	High	High	Middle	High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Topics include conservation of mass, momentum and energy equations for continua, the Navier-Stokes and Bernoulli equations for viscous and inviscid flows, surface tension and surface tension driven flows, creeping flows, similarity and dimensional analysis, boundary layers and flow separation, circulation and vorticity theorems, potential flow, lift and drag, and introduction to turbulence.

Weekly Schedule

1) Continuum hypothesis, transport phenomena, surface tension, fluid statics, first and second laws of classical thermodynamics, perfect gases. Scalar, vector, cartesian tensor concepts and operations, Gauss and Stokes theorems.
2) Fluid kinematics: Eulerian and Lagrangian descriptions of the flow, strain rate, vorticity, circulation, stream function concepts.
3) Conservation laws: Conservation of mass, momentum, angular momentum and energy, stress, Navier-Stokes and Bernoulli Equations, Boussinesq approximation.
4) Vorticity dynamics, Vortex lines and tubes, rotational and irrotational vortices, Kelvin's Circulation Theorem, Biot-Savart Law, interaction of vortices, vortex sheets.
5) Irrotational flows: Velocity potential, Laplace equation, complex variables and complex potential, source, sink, dipole, circulation, forces on a two-dimensional rigid body, conformal mapping, flow past a half body.(1/2)
6) Irrotational flow: Flow past a circular cylinder with and without circulation, stream function and velocity potential for axisymmetric flows, computation of flows around streamlined and arbitrary bodies of revolution.(2/2)
7) Dynamic similarity: Nondimensional parameters, dimensional matrix, Buckingham's pi Theorem, dynamic similarity and model testing.
8) Midterm Exam.
9) Laminar flows: Analogy between heat and vorticity diffusion, steady flows between parallel plates, in a pipe and between concentric cylinders, impulsively started plate similarity solutions, diffusion of a vortex sheet, decay of a line vortex.(1/2)
10) Laminar flows: Flow due to an oscillating plate, Stokes and Oseen solutions of the creeping flow around a sphere, Hele-Shaw flow.(2/2)
11) Boundary layers: Boundary layer equations, different measures of boundary layer thickness, Blasius solution of the boundary layer on a flat plate.(1/2)
12) Boundary layers: Von Karman momentum integral, effect of the pressure gradient, flow separation from the surface, viscous flows past a circular cylinder and a sphere, two-dimensional jets, perturbation techniques.(2/2)
13) Aerodynamics: Airfoil geometry, forces on an airfoil, Kutta condition, generation of circulation, conformal transformation for generating airfoil shape, lift of Zhukhovsky airfoil, wing of finite span.(1/2)
14) Aerodynamics: Llifting line theory of Prandtl and Lanchester, results for elliptic circulation distribution, lift and drag characteristics of airfoils, propulsive mechanisms of fish and birds, sailing against the wind.(2/2)
15) Turbulence: Correlations and spectra, averaged equations of motions, kinetic energy budget of the mean and fluctuating flows, turbulence production and cascade, spectrum of turbulence in inertial subrange, wall-free and wall-bounded shear flows, Boussinesq eddy viscosity hypothesis, Prandtl mixing length theory.
16) Final Exam.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Group Study
6) Simulation
7) Case Study
8) Self Study
9) Problem Solving
10) Project Based Learning

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)