NanoFluid Heat Transfer Calculator

Calculator Inputs

Particle Volume Fraction

Particle Diameter (nm)

Base Fluid Density (kg/m³)

Particle Density (kg/m³)

Base Fluid Specific Heat (J/kg·K)

Particle Specific Heat (J/kg·K)

Base Fluid Conductivity (W/m·K)

Particle Conductivity (W/m·K)

Base Fluid Viscosity (mPa·s)

Flow Velocity (m/s)

Pipe Inner Diameter (mm)

Pipe Length (m)

Wall Temperature (°C)

Bulk Temperature (°C)

Inlet Temperature (°C)

Mass Flow Rate (kg/s)

Fouling Factor (m²·K/W)

Correlation Mode

Example Data Table

Case	ϕ	Velocity (m/s)	Diameter (mm)	Wall Temp (°C)	Bulk Temp (°C)	Expected Trend
Water + Al₂O₃	0.03	1.20	18	60	30	Moderate heat transfer increase
Water + CuO	0.04	1.50	15	70	35	Higher pressure drop risk
EG + TiO₂	0.02	0.90	20	55	25	Higher viscosity influence

Formula Used

Density: ρ_nf = (1 − ϕ)ρ_f + ϕρ_p

Specific heat: c_p,nf = [ (1 − ϕ)ρ_fc_p,f + ϕρ_pc_p,p ] / ρ_nf

Viscosity: μ_nf = μ_f / (1 − ϕ)^2.5

Conductivity: Maxwell model for spherical particles is used to estimate k_nf.

Reynolds number: Re = ρ_nfVD / μ_nf

Prandtl number: Pr = c_p,nfμ_nf / k_nf

Nusselt number: Laminar flow uses Nu = 3.66. Turbulent flow uses Dittus-Boelter or Sieder-Tate inspired estimation.

Heat transfer coefficient: h = Nu·k_nf / D

Pressure drop: ΔP = f(L/D)(ρV²/2)

How to Use This Calculator

Enter nanoparticle volume fraction and particle diameter.
Provide base fluid and particle thermophysical properties.
Enter pipe geometry, velocity, and operating temperatures.
Set mass flow rate and fouling factor.
Select automatic or preferred heat transfer correlation.
Press the calculate button to display results above the form.
Use CSV or PDF export for saving the calculated output.

FAQs

1. What does this calculator estimate?

It estimates mixed nanofluid properties, Reynolds number, Prandtl number, Nusselt number, convection coefficient, heat flux, pressure drop, pumping power, and a performance indicator for internal pipe flow.

2. Which nanofluid model is applied here?

The calculator uses common engineering mixture relations, Brinkman viscosity adjustment, and the Maxwell conductivity model. These are useful for preliminary design and comparison studies.

3. Can I use this for laminar flow?

Yes. Automatic mode assigns a constant fully developed laminar Nusselt number when Reynolds number is below 2300. Transitional behavior should still be reviewed carefully.

4. Why does pressure drop rise with nanoparticles?

Nanoparticles usually increase effective viscosity and density. That often raises friction losses, so any heat transfer gain should be compared against pumping power and pressure penalties.

5. What is the performance evaluation criterion?

It compares heat transfer improvement with hydraulic penalty. A higher value suggests stronger overall thermal benefit for a given pressure-drop increase.

6. Should I trust the results for all particle shapes?

No. The conductivity relation assumes simplified particle behavior, commonly treated as spherical. Non-spherical particles, clustering, and surfactants can shift actual results.

7. Why is fouling included?

Fouling adds thermal resistance and lowers the effective overall coefficient. Including it helps represent more realistic exchanger or pipe-service conditions.

8. Is this suitable for final equipment design?

It is best for screening, sensitivity checks, and concept comparison. Final design should include validated experimental data, temperature-dependent properties, and geometry-specific correlations.