(7) Investigation of

Bernoulli's

theorem

Prepared By :

Eng. Ruba Awad

2015

The Islamic University of Gaza

Faculty of Engineering

Civil Engineering Department

ENGC 6341

- Purpose:

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To verify Bernoulli's equation by demonstrating

the relationship between pressure head and kinetic

head.

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- Apparatus: 1. Bernoulli's apparatus.

2. Hydraulic bench.

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- Equipment set up:

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-Theory:

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Bernoulli's equation shows that the sum of the three

quantities:

𝑃

𝜌𝑔= 𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒 ℎ𝑒𝑎𝑑

𝑉2

2𝑔= 𝑉𝑒𝑙𝑜𝑐𝑖𝑡𝑦 ℎ𝑒𝑎𝑑

𝑍 = 𝐸𝑙𝑒𝑣𝑎𝑡𝑖𝑜𝑛 ℎ𝑒𝑎𝑑

- Loss of head due to friction:

𝑃1

𝜌𝑔+

𝑉12

2𝑔+ 𝑍1 =

𝑃2

𝜌𝑔+

𝑉22

2𝑔+ 𝑍2 + 𝐻𝑓

𝐻𝑓 =𝑃1

𝜌𝑔−

𝑃2

𝜌𝑔

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- The degree of pressure recovery is given by :

𝑅 =𝑅𝑒𝑐𝑜𝑣𝑒𝑟𝑦 𝑝𝑟𝑒𝑠𝑠𝑢𝑟𝑒

𝐿𝑜𝑠𝑠 𝑝𝑟𝑒𝑠𝑠𝑢𝑟𝑒

𝑅 =𝐻𝑜𝑢𝑡𝑙𝑒𝑡 − 𝐻𝑡ℎ𝑟𝑜𝑎𝑡

𝐻𝑖𝑛𝑙𝑒𝑡 − 𝐻𝑡ℎ𝑟𝑜𝑎𝑡

-Theory:

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Equipment preparation and Procedures:

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- Data & Results:

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• Make 3 Case.

• Plot a graph of head against distance and also H against distance.

• Plot a graph of head against distance and also

H+𝑉2

2𝑔 against distance.

• Calculate R for each case

- Data & Results:

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THANKS