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Bernoulli Theorem Design Equations and Formulas Calculator

Fluid Mechanics and Hydraulics

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Bernoulli Equation

Solving For Velocity at Point 1

Velocity at Point 1

Inputs:

static head or elevation (Z1) 
static head or elevation (Z2) 
pressure (P1) 
pressure (P2) 
velocity (V2) 
density (p) 
acceleration of gravity (g) 
head loss (h) 


Conversions:

static head or elevation (Z1) = 0    = 0  meter
static head or elevation (Z2) = 0    = 0  meter
pressure (P1) = 0    = 0  pascal
pressure (P2) = 0    = 0  pascal
velocity (V2) = 0    = 0  meter/second
density (p) = 0    = 0  kilogram/meter^3
acceleration of gravity (g) = 0    = 0  meter/second^2
head loss (h) = 0    = 0  meter


Solution:

velocity (V1)  =  HAS NOT BEEN CALCULATED 


Other Units:



Change Equation

Note Bernoulli Equation Assumes:
1.   flow is streamline
2.   steady state flow
3. inviscid fluid
4. incompressible fluid

Select an equation to solve for a different unknown
head loss Solve for head loss
static head or elevation at point 1 Solve for static head or elevation at point 1
pressure at point 1 Solve for pressure at point 1
velocity at point 1 Solve for velocity at point 1

Where
h  =  head loss
Z  =  static head or elevation 
P  =  Pressure 
V  =  fluid velocity 
p  =  fluid density
g  =  acceleration of gravity
Q  =  flow rate


Reference - Books:


1) P. Aarne Vesilind, J. Jeffrey Peirce and Ruth F. Weiner. 1994. Environmental Engineering. Butterworth Heinemann. 3rd ed.

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