Thanks to this Postgraduate diploma in Fluid Mechanics, you will be able to advance with solid steps in your career in the hydraulics, aeronautics or automotive field”

Design of hydraulic turbines, structures, pollution control or improvement of internal combustion engines are just some of the direct applications of modern Fluid Mechanics, which was born thanks to Ludwig Prandtl in 1904. Since then, the development of this branch of physics has been widely exploited by different productive sectors such as aeronautics, oil hydraulics or industrial refrigeration.

Today, a solid and advanced knowledge of fluid physics is key to the development of new projects, some of them focused on favoring the environment or reducing the impact on the manufacturing environment. A scenario where companies demand highly qualified professionals, capable of putting into practice creative and innovative ideas, or simply being effective in solving problems. Faced with this reality, the graduates have this Postgraduate diploma in Fluid Mechanics that offers, in just 6 months, advanced learning with multimedia content in line with current academic times.

Thus, by means of video summaries, videos in detail, essential readings, diagrams or case studies, students will learn about a syllabus that offers them, through a theoretical-practical approach, the key concepts of kinematics, relativistic analytical mechanics, classical field theory or the behavior of fluids under various conditions. All this, moreover, with the Relearning method, based on the reiteration of content, which will allow you to go through the syllabus in a much more natural way, reducing even the long hours of study so frequent in other teaching methods.

Thus, the engineering professionals can obtain a specialization with an online format and which can be accessed comfortable, whenever and wherever they wishes. All they need is an electronic device (computer, tablet or cell phone) with Internet connection to view the syllabus anytime. In addition, students have the possibility to distribute the course load according to their needs, which allows them to have more flexibility, ideal for professionals who wish to balance a Postgraduate diploma with their work and/or personal responsibilities.

An ideal educational option for professionals who wish to pursue a university program without compromising their work and personal responsibilities”

This Postgraduate diploma in Fluid Mechanics contains the most complete and up-to-date program on the market. Its most outstanding features are:

• Practical case studies are presented by experts in Physics
• The graphic, schematic, and practical contents with which they are created, provide scientific and practical information on the disciplines that are essential for professional practice
• Practical exercises where self-assessment can be used to improve learning
• Its special emphasis on innovative methodologies 
• Theoretical lessons, questions to the expert, debate forums on controversial topics, and individual reflection assignments
• Content that is accessible from any fixed or portable electronic device with an Internet connection

An extensive library of multimedia resources is available 24 hours a day to take you through rigid solid rotations, the inertia tensor and Euler's equations”   

The program’s teaching staff includes professionals from the sector who contribute their work experience to this educational program, as well as renowned specialists from leading societies and prestigious universities. 

Its multimedia content, developed with the latest educational technology, will provide the professional with situated and contextual learning, i.e., a simulated environment that will provide an immersive education programmed to learn in real situations.

The design of this program focuses on Problem-Based Learning, by means of which the professionals must try to solve the different professional practice situations that are presented throughout the program. For this purpose, the student will be assisted by an innovative interactive video system created by renowned experts.  

The case studies provided by the specialists in this program will give you the practical approach you need to advance your career as an Engineer"

In this program, you will learn about Lagrangian and Hamiltonian formulations and the limitations of Newtonian mechanics"

The syllabus of this Postgraduate diploma, designed by TECH, is structured in 3 modules, where students will be initially introduced to the basic concepts of classical mechanics, to later delve into symmetries and conservation laws, oscillations, relativistic analytical mechanics or classical field theory. Likewise, Fluid Mechanics will have great relevance in this program, so it will have a specific subject for it. The educational tools that you will be able to access 24 hours a day will provide greater dynamism to this 100% online program.

A syllabus that, in just 6 months, will allow you to learn from the key concepts of classical mechanics to current Fluid Mechanics”

Module 1. Classical Mechanics I

1.1. Kinematics and Dynamics: Review

1.1.1. Newton’s Law
1.1.2. Reference Systems
1.1.3. Motion Equation of Particles
1.1.4. Conservation Theorems
1.1.5. Particle System Dynamics

1.2. More Newtonian Mechanics

1.2.1. Conservation Theorems for Particle Systems
1.2.2. Universal Gravity Law
1.2.3. Force Lines and Equipotential Surfaces
1.2.4. Limitations of Newtonian Mechanics

1.3. Kinematics of Rotations

1.3.1. Fundamentals of Mathematics
1.3.2. Infinitesimal Rotations
1.3.3. Angular Velocity and Acceleration
1.3.4. Rotational Reference Systems
1.3.5. Coriolis Force

1.4. Rigid Solid Study

1.4.1. Rigid Solid Kinematics
1.4.2. Inertia Tensor of Rigid Solids
1.4.3. Main Inertia Axes
1.4.4. Steiner and Perpendicular Axes Theorems
1.4.5. Kinetic Energy of Rotation
1.4.6. Angular Momentum

1.5. Symmetries and Conservation Laws

1.5.1. Conservation Theorem of Linear Momentum
1.5.2. Conservation Theorem of Angular Momentum
1.5.3. Energy Conservation Theorem
1.5.4. Classical Mechanic Symmetries: Galileo Group

1.6. Coordinate Systems: Euler Angles

1.6.1. Coordinate Systems and Changes
1.6.2. Euler Angles
1.6.3. Euler Equations
1.6.4. Stability Around a Major Axis

1.7. Rigid Solid Dynamics Applications

1.7.1. Spherical Pendulum
1.7.2. Free Symmetrical Top Movement
1.7.3. Symmetrical Top Movement with a Fixed Point
1.7.4. Gyroscopic Effect

1.8. Movement Under Central Forces

1.8.1. Introduction to Central Force Fields
1.8.2. Reduced Mass
1.8.3. Trajectory Equation
1.8.4. Central Field Orbits
1.8.5. Centrifugal Energy and Effective Potential

1.9. Kepler's Problem

1.9.1. Kepler's Problem
1.9.2. Approximate Solution to Kepler's Equation
1.9.3. Kepler's Laws
1.9.4. Bertrand's Theorem
1.9.5. Stability and Perturbation Theory
1.9.6. 2-Body Problem

1.10. Collisions

1.10.1. Elastic and Inelastic Shocks: Introduction
1.10.2. Center of Mass Coordinate System
1.10.3. Laboratory Coordinate System
1.10.4. Elastic Shock Kinematics
1.10.5. Particle Dispersion Rutherford's Dispersion Formula
1.10.6. Effective Section

Module 2. Classical Mechanics II

2.1. Oscillations

2.1.1. Simple Harmonic Oscillator
2.1.2. Damped Oscillator
2.1.3. Forced Oscillator
2.1.4. Fourier Series
2.1.5. Green's Function
2.1.6. Non-Linear Oscillators

2.2. Coupled Oscillations I

2.2.1. Introduction
2.2.2. Coupling of Two Harmonic Oscillators
2.2.3. Normal Trends
2.2.4. Weak Coupling
2.2.5. Forced Vibrations of Coupled Oscillators

2.3. Coupled Oscillations II

2.3.1. General Theory of Coupled Oscillations
2.3.2. Normal Coordinates
2.3.3. Multiple Oscillator Coupling. Continuous Boundary and Vibrating Wire
2.3.4. Wave Equation

2.4. Special Relativity Theory

2.4.1. Inertial Reference Systems
2.4.2. Galileo’s Invariance
2.4.3. Lorentz Transformations
2.4.4. Relative Velocities
2.4.5. Linear Relativistic Momentum
2.4.6. Relativistic Invariants

2.5. Tensor Formalism of Special Relativity

2.5.1. Quadrivectors
2.5.2. Quadrimomentum and Quadriposition
2.5.3. Relativistic Energy
2.5.4. Relativistic Forces
2.5.5. Relativistic Particle Collisions
2.5.6. Particle Disintegrations

2.6. Introduction to Analytical Mechanics

2.6.1. Links and Generalized Coordinates
2.6.2. Mathematical Tools: Variance Calculation
2.6.3. Definition of Action
2.6.4. Hamilton Principle: Extreme Action

2.7. Lagrangian Formulation

2.7.1. Lagrangian Definition
2.7.2. Variance Calculation
2.7.3. Euler-Lagrange Equations
2.7.4. Conserved Quantities
2.7.5. Extension to Non-Holonomous Systems

2.8. Hamiltonian Formulation

2.8.1. Phasic Space
2.8.2. Legendre Transformations: Hamiltonian
2.8.3. Canonical Equations
2.8.4. Conserved Quantities

2.9. Analytical Mechanics-Extension

2.9.1. Poisson Parentheses
2.9.2. Lagrange Multipliers and Bond Forces
2.9.3. Liouville Theorem
2.9.4. Virial Theorem

2.10. Analytical Relativistic Mechanics and Classical Field Theory

2.10.1. Charge Movement in Electromagnetic Fields
2.10.2. Lagrangian of a Free Relativistic Particle
2.10.3. Interaction Lagrangian
2.10.4. Classical Field Theory: Introduction
2.10.5. Classical Electrodynamics

Module 3. Fluid Mechanics

3.1. Introduction to Fluid Physics

3.1.1. No-Slip Condition
3.1.2. Classification of Flows
3.1.3. Control System and Volume
3.1.4. Fluid Properties

3.1.4.1. Density
3.1.4.2. Specific Gravity
3.1.4.3. Vapor Pressure
3.1.4.4. Cavitation
3.1.4.5. Specific Heat
3.1.4.6. Compressibility
3.1.4.7. Speed of Sound
3.1.4.8. Viscosity
3.1.4.9. Surface Tension

3.2. Fluid Statics and Kinematics

3.2.1. Pressure
3.2.2. Pressure Measuring Devices
3.2.3. Hydrostatic Forces on Submerged Surfaces
3.2.4. Buoyancy, Stability and Motion of Rigid Solids
3.2.5. Lagrangian and Eulerian Description
3.2.6. Flow Patterns
3.2.7. Kinematic Tensors
3.2.8. Vorticity
3.2.9. Rotationality
3.2.10. Reynolds Transport Theorem

3.3. Bernoulli and Energy Equations

3.3.1. Conservation of Mass
3.3.2. Mechanical Energy and Efficiency
3.3.3. Bernoulli's Equation
3.3.4. General Energy Equation
3.3.5. Stationary Flow Energy Analysis

3.4. Fluid Analysis

3.4.1. Conservation of Linear Momentum Equations
3.4.2. Conservation of Angular Momentum Equations
3.4.3. Dimensional Homogeneity
3.4.4. Variable Repetition Method
3.4.5. Buckingham's Pi Theorem

3.5. Flow in Pipes

3.5.1. Laminar and Turbulent Flow
3.5.2. Inlet Region
3.5.3. Minor Losses
3.5.4. Networks

3.6. Differential Analysis and Navier-Stokes Equations

3.6.1. Conservation of Mass
3.6.2. Current Function
3.6.3. Cauchy Equation
3.6.4. Navier-Stokes Equation
3.6.5. Dimensionless Navier-Stokes Equations of Motion
3.6.6. Stokes Flow
3.6.7. Inviscid Flow
3.6.8. Irrotational Flow
3.6.9. Boundary Layer Theory. Clausius Equation

3.7. External Flow

3.7.1. Drag and Lift
3.7.2. Friction and Pressure
3.7.3. Coefficients
3.7.4. Cylinders and Spheres
3.7.5. Aerodynamic Profiles

3.8. Compressible Flow

3.8.1. Stagnation Properties
3.8.2. One-Dimensional Isentropic Flow
3.8.3. Nozzles
3.8.4. Shock Waves
3.8.5. Expansion Waves
3.8.6. Rayleigh Flow
3.8.7. Fanno Flow

3.9. Open Channel Flow

3.9.1. Classification
3.9.2. Froude Number
3.9.3. Wave Speed
3.9.4. Uniform Flow
3.9.5. Gradually Varying Flow
3.9.6. Rapidly Varying Flow
3.9.7. Hydraulic Jump

3.10. Non-Newtonian Fluids

3.10.1. Standard Flows
3.10.2. Material Functions
3.10.3. Experiments
3.10.4. Generalized Newtonian Fluid Model
3.10.5. Generalized Linear Viscoelastic Generalized Viscoelastic Fluid Model
3.10.6. Advanced Constitutive Equations and Rheometry

A program that will allow you to delve into Fluid Mechanics through video summaries, detailed videos or readings”