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Crossflow Heat Exchanger Effectiveness-NTU Calculator

Crossflow heat exchangers (such as automotive radiators, HVAC finned heating/cooling coils, and air-to-air recuperators) feature fluids flowing perpendicular to one another.

Mass flow rate times specific heat (m_dot × c_p) for the weaker fluid stream.

Heat capacity rate (m_dot × c_p) for the stronger fluid stream.

Overall heat transfer coefficient times exchanger area (U × A).

Entering temperature of the hot stream.

Entering temperature of the cold stream.

Physical mixing behavior inside the crossflow core.

Calculated Result
55.6 kW

Transferred Heat Duty (Q)

Thermal Effectiveness (ε)

66.2%

Transferred Heat Duty (Q)

55.6 kW

Number of Transfer Units (NTU)

1.5

Heat Capacity Ratio (Cr)

0.5

Cold Stream Outlet Temp

66.4 °C

Hot Stream Outlet Temp

66.8 °C

Calculation Breakdown

  1. NTU & Capacity Ratio EvaluationNTU = UA / C_min = 1800 / 1200 = 1.5, Cr = 1200 / 2400 = 0.5
  2. Kays & London Crossflow Effectiveness FormulationBoth fluids unmixed ε-NTU equation → ε = 66.2%
  3. Actual Thermal Heat Rejection RateQ = ε × C_min × (Th_in - Tc_in) = 0.662 × 1200 W/K × (90 - 20)°C = 55.6 kW

Crossflow Thermal Performance

Interactive visualization based on your current inputs

Value
0.017345168NTU (×10)Effectiveness (%)Heat Duty (kW)Hot Out (°C)Cold Out (°C)ParameterValue

What Is the Crossflow Heat Exchanger Effectiveness-NTU Calculator?

The Crossflow Heat Exchanger Effectiveness-NTU Calculator evaluates thermal performance and outlet temperatures of perpendicular-flow heat exchangers.

How Does the Crossflow Heat Exchanger Effectiveness-NTU Calculator Work?

It computes capacity rates, calculates NTU, and solves the analytical Kays-London exponential equation for crossflow effectiveness.

Crossflow Heat Exchanger Effectiveness-NTU Calculator Formula & Variables

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

NTU = \frac{UA}{C_{min}}, \quad C_r = \frac{C_{min}}{C_{max}}, \quad q = \varepsilon C_{min} (T_{h,in} - T_{c,in})

Kays & London analytical crossflow formulation for unmixed and mixed fluid channels.

How to Use the Crossflow Heat Exchanger Effectiveness-NTU Calculator

  1. Enter fluid heat capacity rates (m_dot × c_p) for both streams.
  2. Specify overall conductance UA in W/K.
  3. Input hot and cold stream inlet temperatures and select channel mixing configuration.

Step-by-Step Example Calculation

Automotive Radiator Crossflow Sizing

Input Values:

capacityRateCminWPerK:1200
capacityRateCmaxWPerK:2400
overallConductanceUAWPerK:1800
hotInletTempC:90
coldInletTempC:20
flowConfiguration:unmixed-both
Worked Steps: With NTU = 1.50 and Cr = 0.50, achieves 68.4% effectiveness delivering 57.5 kW of heat duty.

Understanding Your Result

Thermal Effectiveness (ε): Percentage of maximum theoretical heat transfer actually achieved.

Actual Heat Duty: Thermal power exchanged between streams in kilowatts.

Outlet Temperatures: Predicted leaving temperatures for both hot and cold streams.

Factors That Affect the Result

  • Increasing UA raises NTU, increasing effectiveness asymptotically toward a limit set by Cr.
  • Both-unmixed cores yield 5% to 8% higher effectiveness than mixed cores at equal NTU.

When Should You Use This Calculator?

  • Automotive cooling packs, HVAC fan coil units, heat recovery recuperators, and electronic air-to-air cooling.

Assumptions & Limitations

  • Assumes steady-state operation, constant fluid specific heats, and negligible external casing heat loss.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Adheres to Kays & London Compact Heat Exchangers (3rd Edition) and Incropera heat transfer principles.

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