IntermediateTopic 71 of 105Thermodynamics & Fluids

Drag and lift

Forces on bodies in flow; drag coefficient and lift coefficient quantify them.

In depth

Drag F_D=½ρV²AC_D, lift F_L=½ρV²AC_L. Drag components: friction and pressure (form) drag. Streamlining reduces C_D. Lift for aerofoils depends on angle of attack and rises until stall. Terminal velocity occurs when drag equals weight.

Key points

  • C_D sphere ≈0.47
  • Car C_D≈0.3
  • Induced drag
Example

A parachutist reaches terminal speed when drag balances weight.

Why it matters

Drag and lift determine the forces on vehicles, buildings and aircraft, so drag and lift coefficients are used to size them.

Where this is used

  • Estimating the drag force on a car at highway speed.
  • Calculating the lift needed for a light aircraft to take off.
  • Comparing the drag of a bluff body and a streamlined shape.

Frequently asked questions

What is Drag and lift?

Forces on bodies in flow; drag coefficient and lift coefficient quantify them.

Why is it important to understand drag and lift?

Drag and lift determine the forces on vehicles, buildings and aircraft, so drag and lift coefficients are used to size them.

What is the drag coefficient?

A dimensionless number that gives drag as a fraction of dynamic pressure times frontal area, and it depends on shape and Reynolds number.

How does speed affect drag?

Drag force rises with the square of speed, so doubling speed increases drag fourfold for the same shape.

How is Drag and lift used in practice?

Typical applications include estimating the drag force on a car at highway speed, calculating the lift needed for a light aircraft to take off and comparing the drag of a bluff body and a streamlined shape.

What should I learn before Drag and lift?

Study "Boundary layer" first (topic 70 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.

What are the key points of Drag and lift?

C_D sphere ≈0.47. Car C_D≈0.3. Induced drag.

Can you give an example of Drag and lift?

A parachutist reaches terminal speed when drag balances weight.

What comes after Drag and lift?

The next topic is "Flow separation", which builds directly on this one.

How difficult is Drag and lift?

It is classed as Intermediate in Thermodynamics & Fluids (topic 71 of 105). It is an intermediate topic. Work through the beginner topics in Thermodynamics & Fluids first.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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