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Shell & Tube Heat Exchanger LMTD Calculator mechanical
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Shell & Tube Heat Exchanger LMTD Calculator

Calculate Log Mean Temperature Difference (LMTD), multipass F-correction factors, overall heat duty (Q), and required tube surface area per TEMA standards.

Hot & Cold Fluid Temperatures

Heat Duty & Flow Pass Geometry

BTU / (hr·ft²·°F)

Exchanger Area & LMTD Sizing

Required Heat Transfer Area
-- sq ft
-- m² outside tube surface
Effective ΔT (F · LMTD)
-- °F
-- °F counterflow LMTD
F-Correction Factor
--
Min 0.80 recommended
Capacity Ratio (R) & Effectiveness (P): R = -- , P = --
Approx Tube Count (3/4" x 16 ft): -- Tubes
Temperature Cross Status: --
TEMA standards recommend keeping the multipass F-factor above 0.80. If F falls below 0.80, a steep temperature gradient makes the exchanger thermally inefficient.

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Frequently Asked Questions

What is the Log Mean Temperature Difference (LMTD) and the F-correction factor?

LMTD is the logarithmic average temperature driving force between the hot and cold streams in a pure countercurrent heat exchanger. In multipass shell-and-tube heat exchangers, flow is a mixture of countercurrent and cocurrent passes; an empirical correction factor F (ranging from 0 to 1.0) multiplies LMTD to reflect the reduced driving force.

Why must the F-correction factor strictly exceed 0.80 in TEMA designs?

When F drops below 0.80, the mathematical curve of F versus thermal effectiveness P becomes extremely steep. A tiny fluctuation in cooling water temperature or flow rate causes F to collapse toward zero, rendering the heat exchanger incapable of satisfying its process duty.

What is a "temperature cross" in a shell and tube exchanger?

A temperature cross occurs when the cold fluid exit temperature is heated to a higher temperature than the hot fluid exit temperature (Tc,out > Th,out). This is impossible in parallel co-current flow and requires pure counterflow or multiple shell-passes in series.