10A.
Total pressure Drop using Equation 10.15 and 10.16 Back to Main
This
page is used to determine the change in pressure for the flow of an
incompressible liquid in a section of line of fixed diameter where no work is done,
using Equation 10.16.
Where: d =
internal line diameter
V =fluid velocity = (Equation 10.17)
q = flow rate in volumetric or mass terms
r =
density
gc = mass/force conversion constant
g = gravitational force
L = length of line
DX =
change of elevation
f = dimensionless factor
Determine
f (dimensionless factor) by the equation
(10.15)
Where: C1 =
C2 =
Re = (Equation 10.8)
The
units are defined as those listed on page 321. To carry out the total pressure
drop calculation the Liquid viscosity, Pipe length, Pipe elevation, Liquid
density, Inside diameter, Flow rate, and Pipe relative roughness of the fluid
must be entered into their entry space. To do so use the mouse to click the
curser in their entry space and input the data. Once this has been done, select
Run to execute the solution.
Viscosity
is defined in Screen 3I
If
the pipe is not on an incline, Pipe length is the total length of the pipe in
the horizontal direction from beginning to end.
If
the pipe is on a incline
L
Y
X
Where: Y
= distance from the bottom of the pipeline to the top of the pipeline in
the vertical
direction.
X = distance from the beginning of the pipeline to the end in
the horizontal direction.
L = pipe length
Pipe
elevation is the distance of the pipe from the top of the pipeline to the
bottom, in the vertical direction.
L
Y Y = Pipe elevation
X
If
the liquid were flowing downhill, Pipe elevation would be a negative number.
The
inside diameter of the pipe is the length from one inner edge of the pipe to
another inner edge of the pipe on the exact opposite side.
Flow
rate is the flow rate of the fluid.
Pipe
relative roughness is determined by the Friction Factors Using Moody
Correlation graph (Figure 10.1) which combines the Colebrook transition between
the smooth pipe equation and the fully turbulent zone.
f -
Friction Factor = Vs Re - Reynolds Number