LMNO Engineering, Research, and Software, Ltd. 
The fluid flow calculations website
www.LMNOeng.com 
Flow in pipes, open channels, hydrology, groundwater.
Liquid, gas, water, air. Venturi, nozzle, orifice flowmeters. Weirs, flumes. Pipe
networks, water hammer. Bernoulli, Manning, Moody. Culvert design, inverted siphon.
Pressure, flow, discharge, sizing. Drag force. Tank volume, pipe volume, unit conversions.
Greetings!
I am Ken Edwards, Ph.D., P.E., and owner of LMNO Engineering. My email is LMNO@LMNOeng.com and phone is (740) 5921890. Don't
have email? You can still send a message. In addition to
software, we provide consulting services.
Purchase PIN for calculations About LMNO Engineering/Consulting About calculations, viewing, printing Links
+ Indicates calculations that now run on
mobile devices as well as computers.
Feburary 10, 2014  Our 9th calculation to run on both computers and mobile devices: Force on Pipe Bend (Thrust Block Sizing)
CALCULATIONS
Open Channels/Culverts
Manning equation detailed calculators:
Circular Culvert Trapezoidal Channel
Rectangular Channel Simple Manning
calculators:
•Simple Manning calculator •Circular culvert geometry
•Noncircular channel geometry
Mannings n Coefficients
•Q = VA
Specialty programs:
Culvert Design using Inlet and Outlet Control
Gradually varied flow (M1, M2, S2, S3) graph
Inverted siphon for sewer going under river
+Hydraulic
jump +Critical Depth in Circular Culvert
Bernoulli (pitot tube, dam, sluice gate)
Discharge from a Tank (steady state) Time to Empty Tank
Flumes:
Parshall (submerged and free flow)
Trapezoidal, Rectangular, U (Palmer), Parshall (free
flow)
Weirs: Rectangular
+•V Notch
+•Cipoletti
Compute discharge from water depth at channel dropoff (end depth):
Circular culvert
•Rectangular channel •Triangular
channel
Drag Force
Drag Force on hemispheres, cone, ellipsoid,
annular disk, cylinder, rod, cube
Drag Force  you enter drag coefficient 
Pressurized Conduits
Single pipes and tubes:
Liquid or gas pipe (DarcyWeisbach)
Liquid or gas pipe & pump curve (DarcyWeisbach)
Water pipe (HazenWilliams)
Water pipe & pump curve (HazenWilliams)
Weymouth, Panhandle A (and B) equations (compressible
gases)
Choked flow of gas from tank through pipe
Rayleigh flow (compressible with heat transfer but
frictionless) Specialty programs:
Discharge from a Tank (steady state) Time to Empty Tank
Pipe network (12 pipes) Bypass Loop +Force due to Pipe Bend
Bernoulli (pitot tube, pipe leak, pipe
expansion/contraction)
Water Hammer (enter valve close or opening
time)
Water Hammer (instantaneous valve closure)
Venturi, Nozzle, and Orifice Flow meters:
Venturi (liquids) Nozzle
(liquids)
Orifice (liquids, D<5cm) Orifice (liquids, D>5cm)
Orifice (gases, D<5cm) Orifice (gases, D>5cm)
(D is pipe diameter)
Properties of gases:
Specific gravity conversions and Density using ideal gas law
Gas flow conversions (mass, standard, actual)
•Molecular Weight
+•Gas Viscosity
Simple programs:
•NonCircular to Circular Pipe
Conversions
•Energy Equation
•Static Pressure from
elevation
•Minor Losses (valves, etc.)
•Q = VA
•Major Losses (pipe friction).
DarcyWeisbach
•Major Losses (pipe friction).
HazenWilliams
•Surface Roughness and Minor Loss
Coefficients
+•Moody Friction Factor
for DarcyWeisbach
•Equivalent Length of Pipe Calculations

Hydrology
and Groundwater
Hydrology:
SCS TR55 Peak discharge
SCS TR55 Detention basin storage
Time of concentration
+•Rational
equation for peak discharge Groundwater:
Porous bed (packed bed, permeameter)
Hydraulic gradient and flow direction from x, y,
head data
3D Slug injection: advection, dispersion
1D Step injection: advection, disp,
retardation 
Miscellaneous
Volume of liquid in inclined cylinder at 0
to 90 degrees
+Volume of
partially full cylinder on its side, Sphere, Cone
Unit Conversions
Fluid Properties Ideal gas
law for density
•Molecular Weight
+•Gas Viscosity
Discussion and references for pipes, culverts Videos / Movies
Friction loss and analysis
Tank discharge and analysis 
Newsletters
(Fluid flow articles written by Ken Edwards, Ph.D., P.E.,
Owner of LMNO Engineering)
1999 2000
2001 2002
2003 2004
2005 2006,
2007, 2008, 2009, 2010, 2012 2013

View list of calculations by topic (less clutter but more clicks):
Newsletters Channels
Drag Flow Flumes Forces Groundwater Hydrology
Pipes RainfallMaps Statics Videos Volume Waterfall Water Hammer Weirs
© 19982014 LMNO Engineering, Research, and
Software, Ltd. All rights reserved.
LMNO Engineering, Research, and Software, Ltd.
7860 Angel Ridge Rd. Athens, Ohio 45701 USA
(740) 5921890
LMNO@LMNOeng.com http://www.LMNOeng.com
(February 10, 2014  Our 9th mobile calculator: Force on Pipe Bend)