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Thermal SystemsHeat Transfer

Heat Exchanger Workspace

Size a counter-flow heat exchanger from stream temperatures, mass flow rates and fluid properties. Compute LMTD, heat transfer rate, required surface area and basic tube-side velocity checks.

LMTD MethodEnergy BalanceTube Geometry

Engineering Schematic

Counter-Flow Heat Exchanger — Process Flow

HotCold
COUNTER-FLOW HXHOTCOLDTh,in 90.0 °CTh,out 60.0 °CTc,out 45.0 °CTc,in 20.0 °CLMTD ≈ 42.5 K

Hot Stream

Hot Side
°C

Hot inlet

°C

Hot outlet

kg/s

Hot flow rate

J/kg·K

Hot Cp

Cold Stream

Cold Side
°C

Cold inlet

°C

Cold outlet

kg/s

Cold flow rate

J/kg·K

Cold Cp

Geometry & U

W/m²·K

Heat transfer coeff.

mm

Outer diameter

m

Effective length

-

Tube count

Calculated Results

Thermal Performance

Hot Duty Qh

313.5kW

Hot stream

Cold Duty Qc

313.5kW

Cold stream

Avg. Heat Rate

313.5kW

ΔQ = 0.0 %

LMTD

42.45K

Counter-flow

Required Area

8.69

A = Q / (U·LMTD)

Installed Area

5.65

Margin -54 %

Geometry & Velocity Check

ΔT1 (hot-in)

45.0K

ΔT2 (hot-out)

40.0K

Hot Velocity

0.21m/s

Cold Velocity

0.25m/s

Engineering Check

Review Required

Installed tube area provides less than 10 % margin over required area.

Engineering Relations

Governing Formula

Q = ṁ · Cp · ΔT
QW

Heat Rate

kg/s

Mass Flow

CpJ/kg·K

Specific Heat

Governing Formula

LMTD = (ΔT₁ − ΔT₂) / ln(ΔT₁/ΔT₂)
ΔT₁K

Hot-in − Cold-out

ΔT₂K

Hot-out − Cold-in

Governing Formula

A = Q / (U · LMTD)
A

Required Area

UW/m²·K

Overall HTC

LMTDK

Log Mean ΔT

Governing Formula

A_inst = π · D · L · N
Dm

Tube OD

Lm

Length

N-

Tube Count

Understanding LMTD and Heat Exchanger Sizing

The Log Mean Temperature Difference (LMTD) method remains the standard first-pass tool for sizing counter-flow and parallel-flow heat exchangers. By combining measured or target stream temperatures with known mass flow rates and fluid properties, engineers can quickly determine the heat duty and the surface area required for a given overall heat-transfer coefficient.

Energy Balance First

Before trusting any area calculation, the hot-side and cold-side heat rates must be compared. A large imbalance usually indicates inconsistent temperature or flow-rate data. Once the duties are within a few percent, the average value is used together with LMTD to size the exchanger.

Geometry and Velocity Checks

Tube diameter, length and count define the installed area. Comparing this area against the required area gives a quick margin check. Simultaneously estimating tube-side velocities helps flag erosion risk or excessive pressure drop early in the design process.

Frequently Asked Questions

What is LMTD and why is it used?

LMTD (Log Mean Temperature Difference) is the effective driving force for heat transfer in a counter-flow or parallel-flow exchanger when the temperature difference varies along the length. It is defined as (ΔT₁ − ΔT₂) / ln(ΔT₁/ΔT₂) and allows the simple relation Q = U · A · LMTD to be used for sizing.

Why do the hot and cold duties sometimes differ?

In an ideal steady-state exchanger the two duties are equal. Differences arise from measurement uncertainty, heat losses to the surroundings, or incorrect fluid properties. The calculator reports the percentage imbalance so you can judge data quality before trusting the area result.