Minor losses in pipe flow
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Minor losses in
pipe flow In fluid mechanics, pipe flow is a type of liquid flow within a closed conduit, such as a pipe or tube. The other type of flow within a conduit is open channel flow. These two types of flow are similar in many ways, but differ in one important ...
are a major part in calculating the flow, pressure, or energy reduction in
piping Within industry, piping is a system of pipes used to convey fluids (liquids and gases) from one location to another. The engineering discipline of piping design studies the efficient transport of fluid. Industrial process piping (and accompa ...
systems. Liquid moving through pipes carries momentum and energy due to the forces acting upon it such as pressure and gravity. Just as certain aspects of the system can increase the fluids energy, there are components of the system that act against the fluid and reduce its energy, velocity, or momentum. Friction and minor losses in pipes are major contributing factors.


Friction Losses

Before being able to use the minor head losses in an equation, the losses in the system due to friction must also be calculated. Equation for friction losses: H_=(\sum_L_)f H_= Frictional head loss v= Downstream velocity g = Gravity of Earth R_h =
Hydraulic radius The Manning formula or Manning's equation is an empirical formula estimating the average velocity of a liquid flowing in a conduit that does not completely enclose the liquid, i.e., open channel flow. However, this equation is also used for calculat ...
\sum_L_ =Total length of piping f =
Fanning friction factor The Fanning friction factor, named after John Thomas Fanning, is a dimensionless number used as a local parameter in continuum mechanics calculations. It is defined as the ratio between the local shear stress and the local flow kinetic energy d ...


Total Head Loss

After both minor losses and friction losses have been calculated, these values can be summed to find the total head loss. Equation for total head loss, H_L, can be simplified and rewritten as: H_= 2\sum_L_)f+R_h(\sum_e_)/math> H_= Frictional head loss v= Downstream velocity g = Gravity of Earth R_h =
Hydraulic radius The Manning formula or Manning's equation is an empirical formula estimating the average velocity of a liquid flowing in a conduit that does not completely enclose the liquid, i.e., open channel flow. However, this equation is also used for calculat ...
\sum_L_ =Total length of piping f =
Fanning friction factor The Fanning friction factor, named after John Thomas Fanning, is a dimensionless number used as a local parameter in continuum mechanics calculations. It is defined as the ratio between the local shear stress and the local flow kinetic energy d ...
\sum_e_{v,i}= Sum of all kinetic energy factors in system Once calculated, the total head loss can be used to solve the
Bernoulli Bernoulli can refer to: People *Bernoulli family of 17th and 18th century Swiss mathematicians: ** Daniel Bernoulli (1700–1782), developer of Bernoulli's principle **Jacob Bernoulli (1654–1705), also known as Jacques, after whom Bernoulli numbe ...
Equation and find unknown values of the system.


See also

* Hydraulic head *
Total dynamic head In fluid dynamics, total dynamic head (TDH) is the total equivalent height that a fluid is to be pumped, taking into account friction losses in the pipe. : {\rm h_{total} = \frac{P_2-P_1}{\rho g} + \frac{{v_2}^2-{v_1}^2}{2g : TDH = Static Heig ...


Notes

Piping Fluid dynamics