Fluid dynamics, Summaries of Fluid Dynamics

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Typology: Summaries

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Fluid dynamics

Introduction Hi, I’m Phil!

§ MCAT Content writer

§ Tutored and taught for 10+ years

§ Attended University of Nebraska

Medical Center as an MD/PhD student.

Flow Flow rate tells you how much fluid (some volume) passes in a certain time frame.

𝐹𝑙𝑜𝑤 𝑟𝑎𝑡𝑒 = 𝐴𝑟𝑒𝑎 𝑥 velocity

𝐴! = 20 m

" =^4 𝑚

"

The amount of fluid that passes through one

section of the pipe is equal to the amount of fluid

that passes through the other section!

"

"

Types of Flow

Laminar Flow

Turbulent Flow 𝑅𝑒𝑦𝑛𝑜𝑙𝑑

𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 = 𝑙𝜌𝑣 ƞ

The higher the Reynold’s number, the more turbulent the flow. Though the flow gets a little rough even under 100, it isn’t considered turbulent until it is up around 20,000 or greater.

Bernoulli’s equation

!

!

! "

"

"

" " Requirements for Bernoulli’s

  • Non compressing fluids
  • Must have a continuous flow

How fast will water spray from this LARGE container if a hole is drilled 20 m below the surface level? 𝑃 0 + 𝜌𝑔ℎ 0 + 1 2 𝜌𝑣

= 𝑃 1 + 𝜌𝑔ℎ 1 + 1 2 𝜌𝑣

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