LMNO Engineering, Research, and Software, Ltd.

The fluid flow calculations website

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 e-mail is LMNO@LMNOeng.com and phone is (740) 592-1890. Don't have e-mail? You can still send a message.  In addition to software, we provide consulting services.

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+ Indicates calculations that now run on mobile devices as well as computers.
March 11, 2015 - Our 46th calculation to run on both computers and mobile devices: Unit conversions (free)


  Open Channels/Culverts
  Manning equation detailed calculators:
+Circular Culvert  +Trapezoidal Channel 
  Rectangular Channel

  Simple Manning calculators:
+Simple Manning calculator  +•Circular culvert geometry
+•Non-circular 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

  Parshall (submerged and free flow) 
  Trapezoidal, Rectangular, U (Palmer), Parshall (free flow)

  Weirs:  +Rectangular   +•V Notch     +•Cipoletti

  Compute waterfall discharge at channel drop-off (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 (Darcy-Weisbach)
  Liquid or gas pipe & pump curve (Darcy-Weisbach)
 +Water pipe (Hazen-Williams)
  Water pipe & pump curve (Hazen-Williams)
  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:
+•Non-Circular to Circular Pipe Conversions
+•Energy (Bernoulli) Equation  +•Static Pressure from Column Height
+•Minor Losses (valves, etc.)    +•Q = VA 
+•Major Losses (pipe friction). Darcy-Weisbach
+•Major Losses (pipe friction). Hazen-Williams
Surface Roughness and Minor Loss Coefficients
+•Moody Friction Factor for Darcy-Weisbach 
+•Equivalent Length of Pipe Calculations

Hydrology and Groundwater
 +TR-55 Peak discharge
  TR-55 Detention basin storage
 +Time of concentration
+•Rational equation for peak discharge

  Porous bed (packed bed, permeameter)
  Hydraulic gradient and flow direction from x, y, head data
  3-D Slug injection: advection, dispersion
  1-D Step injection: advection, disp, retardation


+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

(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

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© 1998-2015 LMNO Engineering, Research, and Software, Ltd.  All rights reserved.

LMNO Engineering, Research, and Software, Ltd.
7860 Angel Ridge Rd.   Athens, Ohio  45701   USA   (740) 592-1890
LMNO@LMNOeng.com    http://www.LMNOeng.com

Site updated March 11, 2015. New mobile calculator: Unit conversions (free)