MEC051 – Fluid Dynamics

Syllabus – 2022/1 Academic Calendar.

Lecture 01 – Introduction to fluid dynamics, formal presentation of the discipline.

Lecture 02 – Introduction to tensor calculus, continuum theory, summation convention, free indices, Kronecker delta, permutation.

Lecture 03 – Introduction to tensor calculus, a linear transformation, components of a tensor, sum of tensors, product of 2 tensors, transpose of

a tensor, eigenvalues and eigenvectors.

Lecture 04 – Streamlines of the flow, velocity field, 1D-2D-3D flows.

Lecture 05 – Flow patterns, streaklines, pathlines, the acceleration field of a fluid.

Lecture 06 – The Reynolds Transport Theorem, relationship to material derivative, selection of a control volume.

Lecture 07 – Conservation of mass, incompressible flow.

Lecture 08 – The linear momentum equation, one-dimensional momentum flux, noninertial reference frame, the angular-momentum theorem.

Lecture 09 – The energy equation, one-dimensional energy-flux terms, the steady-flow energy equation, the Bernoulli equation.

Lecture 10 – Fan test, speed profile of an axial fan.

Lecture 11 – Fluid Dynamics test 01.

Lecture 12 – Differential relations for a fluid particle, the differential equation of mass conservation.

Lecture 13 – Differential relations for a fluid particle, the differential equation of momentum, the differential equation of energy.

Lecture 14 – Characterization of fluid flow, the stream function, linear motion and deformation, angular motion and deformation, inviscid flow.

Lecture 15 – Viscous flow, stress-deformation relationships, the Navier-Stokes equations.

Lecture 16 – Solutions for laminar, viscous, incompressible fluids, laminar flow between fixed parallel plates, Couette flow.

Lecture 17 – Steady, laminar flow in circular tubes, axial, laminar flow in an annulus.

Lecture 18 – Dimensional analysis and similarity, the principle of dimensional homogeneity, the Pi theorem, dimensionless parameters.

Lecture 19 – Dimensional analysis and similarity, modeling, geometric similarity, dynamic similarity.

Lecture 20 – Fluid Dynamics test 02.

Lecture 21 – Flow over immersed bodies, Reynolds-number and geometry effects, momentum-integral estimates.

Lecture 22 – Flow over immersed bodies, the flat-plate boundary layer, effects of pressure gradient.

Lecture 23 – Flow over immersed bodies, experimental external flows, aerodynamic forces on road vehicles, forces on lifting bodies.

Lecture 24 – Plane potential flows, uniform flow, source and sink, vortex, doublet.

Lecture 25 – Graduation final project of Mechanical Engineering students (TCC).

Lecture 26 – Graduation final project of Mechanical Engineering students (TCC).

Lecture 27 – Plane flow past closed-body shapes, airfoil theory, numerical analysis.

Lecture 28 – Introduction to compressible flow, the speed of sound, Mach-number relations.

Lecture 29 – The normal-shock wave, operation of converging and diverging nozzles, compressible duct flow.

Lecture 30 – Isentropic flow with area changes, choking.

Lecture 31 – Fluid Dynamics test 03.
   

List of Exercises 01

List of Exercises 02

List of Exercises 03

Numerical Simulation:

Fan test: Speed profile of an axial fan.

Groups:

Group 01 – Fan speed profile (600 and 1500 RPM).

Group 02 – Fan speed profile (1000 and 2000 RPM).

Project:

Groups:

Group 01 – Flow Modeling in Pelton Turbines.

Group 02 – Computational Design of a Krueger Flap.