Fluid Mechanic Formular Sheet

ME2135E Fluid Mechanics Formula sheet
(

)

Centrifugal Pump
Power

(

)

Head

(

)

(

Head

Capacity
Coeff

)

Head
Coeff

(

)
(

Eff

(

)

⁄

|

⁄

(

Head

⁄(
(

)(
(

)

)

(

)(

)

(

)

)

|

)

Axial Pump
Power

(

⁄

⁄

Eff

Power
Coeff

()

()

)

)

(

Head

⁄)

(

)⁄

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������ : Absolute Blade velocity
������ Flow velocity relative to blade
������ Absolute flow velocity
������������ Normal component of ������
������������ Tangential component of ������

Inlet velocity triangle

ur1

V=Vn

������ ub1 Outlet velocity triangle

V2

ur2
Vn2

������

������ ub2 Vt2

Cavitation
(∑

Cavitation index:

()

∑)
()

Hydrostatic Bearing
()

(
(

(⁄)
)
)

()

( ⁄)
(⁄)
(⁄)

(

)
(⁄)
[

(⁄)

(

)

(⁄)
( ⁄ )]

A0066078X Lin Shaodun

Page 1 of 4

ME2135E Fluid Mechanics Formula sheet
(

Minimum pumping loss:

√

)
(

⁄

⁄)

Hydrodynamics Bearing-Inclined
()
()
()

̅

(

̅̅(̅̅̅
̅)

)

[()
()(

()

(

()

]
)

(

(

)

(

)

)

)

]

(

⁄
∫ ()

(
(

[

)

(
)

⁄
∫|

)

∫

)

⁄
|

(

)

Hydrodynamics Bearing-Rayleigh step
(
(

⁄

)

(

⁄)

Flat Plate Boundary Layer Flow

)

Rex=5x105
⁄

Re
Laminar (Blasius
Solution)

⁄

⁄

⁄

⁄

⁄

⁄

2.59

⁄

⁄

Turbulent (1/7 Power
Lower vel. profile )

⁄

⁄

⁄

⁄

1.29

⁄

For laminar flows H varies between 2 and 3,

(normal: 1.5~2)
(

⁄

⁄

)

⁄

(

)(

)

()

⁄

|

√⁄

()

Blasius Solution:

(

)

(

(

)

)

Boundary Layer with transition
(

)

⁄

⁄