Flow of Liquids Through Pipes, Fittings and Valves

Explore different pipe types, sizes, standards, and the concepts of internal versus external diameter, schedules, diameter ratio versus velocity, and the continuity equation linking diameters to velocity.

Explore the definitions and differences among pipe, piping, pipeline, tubing, and conduit, and learn why pipes transport fluids efficiently, including gases and liquids, with an economical, continuous flow.

Identify fundamentals behind pipe selection by evaluating fluid type, operating conditions, and velocity, considering safety, cost, and standards like ISO; apply practical criteria for water, oils, and gases.

Compare steel varieties, copper, PVC, and ceramics for piping, and see how these materials suit gas, water, and sewage systems under standards like ASTM, API, and B88.

Learn pipe sizing with ASME and BWG standards, distinguishing interior and exterior diameters, nominal diameter, and wall thickness. Compare schedules 40 and 80 to assess flow area.

Understand how material roughness causes friction loss in piping through non-uniform surfaces, and compare roughness across steel, copper, nickel, brass, aluminum, cast iron, and PVC.

Identify common piping problems such as pressure drop, leaks, blockages, corrosion, vibration, water hammer, and cavitation, and implement troubleshooting like inspecting pipe diameter, leaks, flow meters, and maintenance.

Master the basics of pipes, pipelines, and piping systems, relate velocities to diameters, and preview friction factor losses on pipe walls.

Explore fittings and valves, their roles in supporting pipes, accommodating expansion and contraction, changing flow direction, and splitting streams, with an overview of common valve types for pipe design.

Distinguish fittings that affect flow rate from those that don't, and note how valves increase friction to regulate flow, with examples like expanders, splitters, elbows, flanges, and welding for pressure.

Learn about accessories that won't affect fluid flow, such as thread seal tape, plastic and metallic flanges, non-metallic branches, welds, supports, bases, and hangers that prevent leakage and movement.

Explore how expanders, reducers, elbows, and other fittings alter flow and pressure loss, and how temperature-driven expansion and smoothness influence velocity and volumetric flow.

Valves control flow rate, enabling on/off and partial openings from 0% to 100% for operation, safety, and preventing counterflow; partial closure increases friction, raising system head and pump power.

Explore common industrial valves—ball, globe, gate, butterfly, check, needle, diaphragm, and safety valves—and learn how each controls, opens, and stops flow.

Finish section two on fittings and bulbs, then explore how piping, fittings and valves govern the science of pipe flow.

Explore how liquids flow through a cylindrical pipe, analyzing laminar, transient, and turbulent regimes. Apply Reynolds number, friction factor, relative roughness, and Darcy equation to characterize pipe flow.

Use the Reynolds number, a dimensionless ratio of inertial to viscous forces, to classify pipe flow as laminar, transient, or turbulent, using density, velocity, diameter, and viscosity in circular pipes.

Explore laminar, transient, and turbulent flow in pipes, linking velocity, viscosity, diameter, and density to Reynolds number for predicting flow behavior.

Explore turbulent flow in pipes, with high velocities, eddies, and negligible wall effects. Use Reynolds number and fluid properties to determine velocity for turbulence and relate diameter to flow rate.

Explain plug flow as a uniform flow profile at very high Reynolds numbers, enabling simpler friction modeling in turbulent pipe flow.

Explore how relative roughness normalizes material roughness by pipe diameter to compare friction and pressure drop; smaller diameters raise relative roughness, larger diameters lower it.

Explore non-cylindrical pipelines, including open channels and square ducts, and learn to use hydraulic radius to convert to an equivalent diameter for Reynolds number and friction factor calculations.

Calculate hydraulic radius and equivalent diameter for non-cylindrical pipes, including concentric tubes and rectangular channels, by analyzing area of flow and wet perimeter for Reynolds number insights.

Review pipe flow by examining how liquids move in cylindrical and non cylindrical pipes to derive the friction factor, which will be fundamental for the next three sections.

Examine friction loss in pipes from wall contact, learn how the friction factor arises and is calculated, and compute total energy loss using equations or diagrams.

Explore how friction loss causes pressure drop in piping systems, connecting velocity, pressure, and height through the mechanical energy equation and Bernoulli's law, including specific gravity effects.

Explore how friction factor governs energy loss in pipes, comparing Moody, Darcy, and Fanning definitions for laminar and turbulent flow using Reynolds number and relative roughness.

Learn to read the Moody diagram to determine friction factor from Reynolds number and relative roughness, distinguishing laminar, transient, turbulent, and complete turbulence regimes.

Explore friction factor methods such as Chen and Swamee Jain, and Moody, and learn to compute f from Reynolds and relative roughness using Excel or calculator, plus Hazen-Williams friction loss.

Clarify difference between friction factor and energy loss in pipe flow; friction factor is dimensionless and applies to pipe walls, while energy loss has units and involves fittings and valves.

Calculate energy loss from pipe wall friction by using the friction factor, Reynolds number, and velocity head to obtain joules per kilogram and pressure drop.

Explore how the friction factor governs energy loss due to pipe-wall friction and how pumps counterbalance this loss to move fluid from point a to point b.

Examine friction loss in fittings and valves and compare it to pipeline friction, clarifying the distinction between piping and accessories.

Learn to quantify friction loss in fittings and valves using the HF/HFS framework, with a k factor independent of Reynolds number, and apply the energy equation to compute losses.

Consult your supplier for k values of fittings and valves, then compute friction loss using hf = k v^2/2; an inlet to tank example uses k = 1.

This lecture explains how to relate equivalent length to k values for friction loss in fittings and valves by tweaking equations, linking pipe length with fittings to the friction framework.

Relate pipe wall friction to fitting friction by converting fittings to equivalent length, showing how energy losses and velocity head increase with velocity and Reynolds number.

Apply the mechanical energy equation to compute friction loss from pipe walls, fittings, and valves, then determine volumetric flow rate by solving for velocity with Reynolds number and friction factor.

Relate the friction loss of a pipe fitting or valve to its length equivalent using mathematics and fundamentals, enabling accurate estimates in pipe flow calculations with software tools.

Solve practice problems to understand why we use different approaches and equations for friction loss in piping systems, linking theory to practical flow in pipes, fittings, and valves.

Relate volumetric flow rate, area, and velocity in a pipe to compute fluid speed. Use conversions from liters to cubic meters and inches to meters; the example yields 3.28 m/s.

Apply the continuity equation to relate flow in a 12-inch pipe to a 3-inch pipe, showing velocity rises from 1.65 ft/s to about 26 ft/s.

Relate velocity and volumetric flow to determine pipe diameter using Q = vA. Convert flow units to SI, then report the diameter in inches per ASME, about 0.55 in.

Apply the continuity equation to relate velocities in a pipe reduction with different diameters for a fixed volumetric flow rate. Evaluate velocities and friction losses, including pumping implications.

Apply Bernoulli's equation to an expanded pipe section, converting flow rate and diameters to determine pressure drop or gain as velocity changes with no friction losses.

Apply Bernoulli to relate pressure drop and velocities in a horizontal pipe from two inches to one inch. Find VB four times VA, about 10.83 m/s for water.

Apply Bernoulli to analyze pressure drops due to velocity changes across a six-inch to three-inch pipe expander/reducer, with friction neglected, yielding about 320 kPa.

Compute the Reynolds number and per-meter pressure drop for a non-cylindrical channel by deriving the equivalent diameter from the hydraulic radius and applying laminar-flow friction.

Compute Reynolds number for a pipe using volumetric flow rate, diameter, viscosity, and density to identify laminar versus turbulent flow in this cylindrical pipe example.

Compute the Reynolds number to classify the pipe flow, using interior diameter corrected for wall thickness and the given volumetric flow rate and specific gravity.

Compute laminar-wall friction loss in a pipe at Reynolds 2000, yielding velocity 3.57 m/s, then express energy loss in J/kg, head loss in meters, and a 222 kPa pressure drop.

Apply Chen's equation to compute the friction factor in turbulent pipe flow, using Reynolds number and relative roughness to assess material roughness and friction in fittings and valves.

Use the Hazen Williams equation to calculate friction loss in a 6-inch, 550-foot pipe at 1.5 cfs, convert head loss to joules per kilogram for water.

Calculate the k value for a valve using experimental data by analyzing pressure drop, friction loss, and density effects in a pipe with a given volumetric flow rate.

Compute friction loss in a pipe connected to a vessel, with flow from B to A at 3 m/s, yielding 2.25 J/kg and 0.23 m head to offset fitting friction.

Analyze friction loss from a gradual 60° expansion from 25 mm to 75 mm, showing higher friction with larger angles and a head loss of about 0.33 metres.

Relate the 4-to-2 inch contraction with 4 ft/s (1.2 m/s) and 1/2 diameter ratio. Compute friction loss using HF = k V^2/2 from table 10.2, reporting in joules per kilogram.

Compute friction losses in pipes and fittings using k values from the RD relationship for different entrance geometries, and derive HF and HL from velocity and gravity.

Compare pressure drop for a straight street elbow, noting that the k value increases with roughness while ft value and diameter stay constant, yielding about 7.3 kPa.

Examine friction loss in pipes, fittings, valves using Reynolds number, friction factor, and equivalent diameter. Apply the continuity equation, laminar and transient flow, and relative roughness in case study.

Wrap up this course by reviewing pipes, fittings, valves, and pipe flow fundamentals. Revisit friction loss, Moody's diagram, Reynolds number, laminar and turbulent flow, the k constant, and problem-solving practice.