Skip to main content

Regenerative Heat Exchanger Matrix NTU Calculator

Rotary regenerative heat exchangers (thermal wheels and Ljungstrom air preheaters) store thermal energy in a porous rotating matrix from hot exhaust gas and transfer it to incoming cold air.

Heat capacity rate Ch = m_dot * cp of hot exhaust gas stream.

Heat capacity rate Cc = m_dot * cp of cold incoming stream.

Overall surface convective heat transfer coefficient.

Total wetted matrix heat transfer surface area.

Total thermal heat capacity of rotating matrix wheel.

Time for one complete wheel revolution (or cycle valve period).

Calculated Result
80.9%

Regenerator Effectiveness (ε)

Number of Transfer Units (NTU₀)

5.00

Matrix Capacity Rate (C_r)

9000 W/K

Capacity Ratio (C_r*)

2.00

Calculation Breakdown

  1. NTU₀ = (U · A) / C_min5.00
  2. C_r* = (M · c / P_rot) / C_min2.00
  3. ε via Kays-London regenerator model80.9%

What Is the Regenerative Heat Exchanger Matrix NTU Calculator?

A regenerator stores heat cyclically within the solid matrix rather than transferring it continuously through a separating wall like a recuperator.

Thermal wheels provide extraordinary thermal compact surface densities (up to 2000 m2/m3) at low manufacturing cost.

How Does the Regenerative Heat Exchanger Matrix NTU Calculator Work?

The rotating matrix is alternately exposed to hot exhaust gas (storing heat) and cold incoming gas (releasing heat).

As rotation speed increases, matrix heat capacity rate Cr rises, making performance approach that of a pure counterflow recuperator.

At very low rotation speeds, matrix temperature swings cause significant thermodynamic effectiveness penalties.

Regenerative Heat Exchanger Matrix NTU Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\text{NTU}_0 = \frac{U A}{C_{min}}, \quad C_r^* = \frac{M c / P_{rot}}{C_{min}}, \quad \varepsilon_{regen} \approx \varepsilon_{recup} \left[ 1 - \frac{1}{9 (C_r^*)^{1.93}} \right]

Calculates regenerator Number of Transfer Units and Kays-London rotation-corrected effectiveness.

How to Use the Regenerative Heat Exchanger Matrix NTU Calculator

  1. Specify fluid stream heat capacity rates (mass flow times specific heat).
  2. Input matrix surface area and convective heat transfer coefficient.
  3. Enter matrix thermal mass and rotation cycle period.

Step-by-Step Example Calculation

Regenerator NTU Standard Case

Input Values:

hotFluidCapacityWPerK:4500
coldFluidCapacityWPerK:4500
overallHeatTransferCoeffWPerM2K:75
matrixSurfaceAreaM2:300
matrixHeatCapacityJPerK:180000
rotationPeriodSeconds:20
Worked Steps: Representative engineering benchmark scenario.

Understanding Your Result

Regenerator effectiveness (epsilon) indicates the percentage of maximum thermodynamic heat transfer recovered.

NTU_0 measures the nondimensional thermal sizing of the heat exchanger.

Matrix capacity ratio Cr* should ideally exceed 2.0 to 5.0 to operate near maximum recovery.

Factors That Affect the Result

  • Wheel RPM: Rotating too slowly reduces effectiveness; rotating too fast increases seal wear and carryover leakage.
  • Stream capacity imbalance: Balanced streams (Ch = Cc) achieve symmetrical temperature swings across matrix sectors.
  • Carryover leakage: Gas trapped in matrix voids rotates into the opposite stream, causing cross-contamination.

When Should You Use This Calculator?

  • Power plant boiler Ljungstrom flue gas air preheaters and industrial glass furnace regenerators.
  • HVAC energy recovery ventilators (ERV) and Stirling engine thermal regenerator design.

Assumptions & Limitations

  • Assumes clean non-fouled matrix channels with uniform circumferential flow distribution.
  • Does not account for mass carryover leakage between opposing fluid duct streams.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Kays and London semi-empirical effectiveness-NTU model for rotary regenerators.

Explore more tools and calculators in Physics Calculators