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Fundamentals of Fluid Dynamics: Governing Equations and CFD Applications banner

Fundamentals of Fluid Dynamics: Governing Equations and CFD Applications

Fundamentals of Fluid Dynamics: Governing Equations and CFD Applications banner
Self-paced Beginner

Fundamentals of Fluid Dynamics: Governing Equations and CFD Applications

4(1581)
2 enrolled
314 views
₹ 699
106 min
Anytime
English
314 views
Team EveryEng
Team EveryEngMechanical Engineering
AerospaceAutomotive
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Volume pricing for groups of 5+

Why enroll

This course is designed to provide engineers, researchers, and students with a solid understanding of the principles of fluid flow and their applications using computational tools. The course covers the core governing equations of fluid dynamics, including the continuity equation, Navier–Stokes equations, and energy equations, explaining how they describe the behavior of fluids in motion.Participants also learn about key concepts such as laminar and turbulent flow, boundary layers, pressure and velocity fields, and flow stability.

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Team EveryEng

Team EveryEng

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Mechanical Engineering

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Is this course for you?

You should take this if

  • You work in Aerospace or Automotive
  • You're a Mechanical Engineering professional
  • You prefer self-paced learning you can revisit

You should skip if

  • You need a different specialisation outside Mechanical Engineering
  • You need live interaction with an instructor

Course details

Fluid dynamics is the study of fluids (liquids and gases) in motion and is governed by a set of fundamental physical laws. The key governing equations include the continuity equation (conservation of mass), the Navier–Stokes equations (conservation of momentum), and the energy equation (conservation of energy). These equations are derived from Newton’s laws of motion and thermodynamic principles, forming a system of nonlinear partial differential equations that describe how velocity, pressure, temperature, and density of a fluid evolve over time and space. Due to the complexity of solving these equations analytically, especially for turbulent or complex flow domains, Computational Fluid Dynamics (CFD) has become an essential tool. CFD uses numerical methods and algorithms to simulate fluid flow, enabling engineers and scientists to analyze performance, optimize designs, and predict behavior in applications ranging from aerospace and automotive engineering to environmental modeling and biomedical devices.

Course suitable for

Key topics covered

  • Conservation of Mass: Derivation of Continuity Equation

  • Conservation of Momentum Equation & it's Derivation

  • Conservation of Energy Equation & it's Derivation

  • Introduction to Navier-Stokes Equation

  • Special form of Navier-Stokes Equations

  • Euler Equation

  • Stokes Equation

Course content

The course is readily available, allowing learners to start and complete it at their own pace.

2 lectures1 hr 46 min
  1. Lecture 01
    46 min
  2. Lecture 02
    60 min

Opportunities that await you!

Career opportunities

✎ Where this fits — what comes before, what comes next
Fundamentals of Fluid D… Computational Fluid Dyn… Fluid Flow: Characteris… Errors in CFD, Mesh Gen…

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Questions and Answers

A: Pick the wrong scale and you sign off a CFD model that's lying to you, which feeds straight into a failed thermal test or a late duct redesign. Dynamic pressure is about 0.5·ρ·V² ≈ 60 Pa for air at 10 m/s. Multiply by f·L/D ≈ 0.02·(1/0.05) ≈ 0.4 and you land in the teens of pascals. That keeps the CFD result anchored to physics instead of solver noise.

A: Misclassifying the regime pushes you to the wrong correlation and the pump NPSH margin evaporates on test day. Reynolds number is ρVD/μ ≈ (1000·0.5·0.025)/(0.001) ≈ 1.25×10⁴. That places you just into turbulent flow, but not orders of magnitude higher.

A: If you miss this, you sign off a pressure drop that will never match test, and the homologation trend keeps drifting the wrong way. A downstream valve dominates system loss, but it's absent from the boundary conditions. The solver will happily converge while representing a different plant. Catching that mismatch protects schedule and credibility.

A: Get this wrong and you chase phantom instrumentation errors instead of geometry. With density nearly constant, continuity forces velocity up as area shrinks. Higher velocity pulls static pressure down. That matches both Bernoulli intuition and what the tunnel sensors will show.