A fluid in an aquifer is 23.6 m above a reference datum, the fluid pressure is 4

Question

A fluid in an aquifer is 23.6 m above a reference datum, the fluid pressure is 4390 N/m2 , and the flow velocity is 7.22 x 10-4 m/s. The fluid density is 0.999 x 103 kg/m3 .

2. A fluid in an aquifer is 23.6 m above a reference datum, the fluid pressure is 4390 N/m2, and the flow velocity is 7.22 × 10-4 m/s. The fluid density is 0.999 x 103 kg/mi3. (A) What is the total energy per unit mass? (B) What is the total energy per unit weight? 4. Apiezometer point is 34.7 m above mean sea level. The fluid pressure in the aquifer at that point is 7.87 X 10 N/m. The aquifer has fresh water at a temperature of 10°C. (A) What is the point-water pressure head? (B) What is the total head?

Explanation / Answer

2.

a)

From Bernoull's equation ,Energy Per Unit mass is given by

E/m =P/p + V2/2 + Zg

E/m =4390/999 + (7.22*10-4)2/2 +23.6*9.8

E/m =235.67 J/Kg

b)

Energy per unit weight is

E/W =(E/m)/g =235.67/9.8

E/W =24.05 J/N

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4)

Density of sea water psea =1027 Kg/m3

Density of fresh water p=999 Kg/m3

Point water pressure head is given by

hp =hf*(p/psea) =34.7*(999/1027)

hp=33.75 m

b)

Total Head

h=hp+hf=34.7+33.75

h=68.45 m

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