Calculators
Practical technical tools from Aroplus.
Aroplus provides pump and compressor calculators to help support technical checks, fluid handling decisions and compressed air system planning. Our calculators are designed to support quick technical checks and early-stage planning across pumps, compressors and associated systems. The first tool currently available is our Pressure loss calculator, helping users make more informed decisions before moving into deeper technical review or enquiry.
Pump and Compressor Calculators for Technical Support
Use our current live tool below for quick practical support.
Pressure Loss Calculator
Our Pressure loss Calculator helps users estimate losses across a system and supports early-stage review of pipework, flow considerations and general system planning. It is a practical tool for building a clearer understanding before moving into more detailed specification or technical discussion.
This tool is especially useful when comparing options, sense-checking a setup or preparing for a more informed enquiry.
How the Pressure Loss Calculator Works
This calculator estimates pressure losses in suction and discharge pipework using established fluid-mechanics principles. It is intended to provide a practical early-stage indication of frictional and static pressure effects based on the flow, pipe size and fluid properties entered.
Method Overview
Flow velocity is calculated from the entered flow rate and pipe diameter, and the Reynolds number is then used to determine whether flow is laminar or turbulent. For laminar flow, pressure loss is estimated using the Hagen-Poiseuille relationship. For turbulent flow, the calculator applies the Darcy-Weisbach equation using a representative friction factor for clean commercial pipework. Static pressure effects from suction and discharge elevation are also included using the fluid density derived from specific gravity, allowing the calculator to estimate total suction pressure, discharge pressure and differential pressure.
Disclaimer
The results provided by this tool are estimates based on standard engineering equations and assumed pipe priction values. Actual system performance may differ due to factors such as pipe bends, fittings, valves, reducers, surface roughness, flexible hoses, pump inlet conditions and installation layout. For critical applications, or where accuracy is essential, please consult Aroplus UK Ltd or Diaphragm Pumps Ltd for a full engineering assessment.
1. Flow & Velocity Calculations
Flow rate is converted from m³/h to m³/s, then used to calculate fluid velocity:
Velocity (V) = Flow Rate (Q) / Pipe Area (A)
Where:
Q = volumetric flow rate (m³/s)
A = π × (D/2)²
D = internal pipe diameter (m)
2. Fluid Properties
Fluid properties are derived from the user inputs:
Density (ρ) = Specific Gravity × 1000 (kg/m³)
Dynamic Viscosity (μ) = Viscosity (cP) / 1000 (Pa·s)
Assumes water-based fluids unless otherwise specified.
3. Reynolds Number
The Reynolds number determines whether flow is laminar or turbulent: Re = (ρ × V × D) / μ
Flow regimes:
Laminar: Re < 2000
Turbulent: Re ≥ 2000
4. Laminar Pressure Loss
Used when the Reynolds number indicates laminar flow:
ΔP = (32 × μ × V × L) / D²
Where:
L = pipe length (m)
5. Turbulent Pressure Loss
Used for most industrial diaphragm pump applications:
ΔP = f × (L / D) × (ρ × V² / 2)
Where:
f ≈ 0.02 (typical friction factor for clean commercial pipe)
Note: Actual friction factor may vary depending on pipe roughness, fittings, and flow conditions.
6. Static Head Pressure
Elevation changes in suction and discharge lines are converted to bar:
Static Pressure = (ρ × g × h) / 100,000
Where:
g = 9.81 m/s² h = elevation head (m)
7. Total Calculated Pressures
The calculator provides:
Total Suction Pressure
Total Discharge Pressure
Total Differential Pressure
These combine friction losses and static head pressure for each pipe run.
Need help beyond a quick calculation?
If you need more specific advice on a system, product choice or application, Aroplus can help with direct technical support.
Need advice on pumps, compressors or system setup?
Get in touch if you would like support beyond the calculator,including equipment guidance and application advice.