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Compressed Air Pressure Drop Nomograph

Reference data and engineering information about compressed air pressure drop nomograph for fluid mechanics applications.

compressedairpressuredropCalculator

Overview

Engineering reference data for Compressed Air Pressure Drop Nomograph in fluid mechanics.

Key Formulas

Reynolds Number

Re=ρvDμRe = \frac{\rho v D}{\mu}

Ratio of inertial to viscous forces — determines flow regime.

Bernoulli's Equation

P+12ρv2+ρgh=constP + \frac{1}{2}\rho v^2 + \rho g h = \text{const}

Conservation of energy for steady, inviscid, incompressible flow.

Continuity Equation

A1v1=A2v2A_1 v_1 = A_2 v_2

Conservation of mass for incompressible flow.

Darcy-Weisbach

ΔP=fLDρv22\Delta P = f \frac{L}{D} \frac{\rho v^2}{2}

Pressure drop due to friction in a pipe.

Variables

SymbolDescriptionUnit
ReReReynolds number
ρ\rhoFluid densitykg/m³
vvFlow velocitym/s
DDCharacteristic dimensionm
μ\muDynamic viscosityPa·s
PPPressurePa
ffDarcy friction factor

Example Calculation

Using the parameters from the original example:

ParameterValue
Pipeline Length100 m
Air Flow500 l/s
Inside Diameter100 mm
Working Pressure9 bar (gauge)
Pressure Drop0.07 bar

This illustrates how the nomograph connects multiple variables to determine the pressure loss in a compressed air system.

How to Use the Nomograph

The nomograph allows you to estimate pressure drop visually. Follow these steps:

  1. First Line: Draw a straight line from the pipeline length scale through the air flow volume scale to the first reference line.
  2. Second Line: From that intersection point, draw a line through the pipe inside diameter scale to the second reference line.
  3. Final Line: Draw a line from the working pressure scale, through the point on the second reference line, to the pressure drop scale. The value at the intersection is the estimated pressure drop.

This method provides a quick graphical solution without complex calculations.

References