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A weather balloon is launched into the atmosphere by
Chapter 4, Problem 11p(choose chapter or problem)
QUESTION: Problem 11PA weather balloon is launched into the atmosphere by meteorologists. When the balloon reaches an altitude where it is neutrally buoyant, it transmits information about weather conditions to monitoring stations on the ground (Fig. P11-10C). Is this a Lagrangian or an Eulerian measurement? Explain.
Questions & Answers
QUESTION: Problem 11PA weather balloon is launched into the atmosphere by meteorologists. When the balloon reaches an altitude where it is neutrally buoyant, it transmits information about weather conditions to monitoring stations on the ground (Fig. P11-10C). Is this a Lagrangian or an Eulerian measurement? Explain.
ANSWER:
ANSWER:
Step 1:-
- Before answering we must know the meaning of lagrangian and eulerian measurement.
- If we can describe the entire flow of a liquid by knowing the detailed history of each constituent particle of the liquid, then it’s called lagrangian measurement.
- Here we need to know the initial conditions as coordinates, momenta and densities.
- In eulerian measurement, rather than following each fluid particle we concentrate more on the evolution of the flow properties at each point of coordinates and time.
- It’s hard to apply the conservation laws here but mathematically it’s much simpler.