Ordu University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
FYE651	ADVANCE FLUID MECHANICS	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

This course surveys the principal concepts and methods of fluid dynamics. 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.

Name of Lecturer(s)

Yrd.Doç.Dr. Mehmet Sami GÜLER

Learning Outcomes

1	Determine the necessary coordinate system and physical variables in order to form mathematical models of engineering fluid mechanics problems.
2	Model viscous and inviscid engineering mechanics problems by differential and integral control volume methods.
3	Solve internal and external potential and viscous flow problems of engineering by analytical and numerical methods.
4	Apply knowledge in a specialized area of mechanical engineering discipline and use variety of CAD/CAM/CAE tools.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Course, mass, momentum and energy conservation equations, viscous and inviscid flow for Navier-Stokes and the Bernoulli equation, surface tension and surface tension generated by the flows, slow flows, the similarities and dimensional analysis, boundary layer theory and flow detachment, circulation and vorticity theorems, potential flow, solid lift and drag forces acting on the body and includes an introduction to turbulent flow.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
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
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
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
10	Laminar flows: Flow due to an oscillating plate, Stokes and Oseen solutions of the creeping flow around a sphere, Hele-Shaw flow
11	Boundary layers: Boundary layer equations, different measures of boundary layer thickness, Blasius solution of the boundary layer on a flat plate
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.
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
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
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	End-of-term exam