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heat exchanger design formula Sheet
- 2. 1 - For plane wall
UA=
ଵ
ோ௧
=
൬
2 - For a tubular pipe
ଵ
భ
భ
ା
ା
൰
ಲ
಼ಲ ಲ
UA= ܷ ܣ = ܷ ܣ =
ଵ
ோ௧
=
ቌ
భ
ା
ಲ
ଵ
ೝ
൬ బ ൰
ೝ
భ
ା
ቍ
మഏ಼
బ ಲబ
3 – For a unclean surface(Fouling /scaling)
∆ࢀ࢙
ࡽ
= ࡾ࢙ = ࢎ =
࢙
ࡾࢌ
ࡾ࢙ ୀࡿࢉࢇࢍ ࢘ࢋ࢙࢚ࢇࢉࢋ
∆ࢀ࢙ ୀࢀࢋ ࢍ࢘ࢇࢊࢋ࢚ ࢇࢉ࢙࢙࢘ ࢛ࢉࢋࢇ ࢙࢛࢘ࢌࢇࢉࢋ
4 – For a fouled surfaces
= ܜ܀
ܑ ۯ ܑܐ
۹ܑۯ
+
Q = hA [1 -
+ + ܟ܀
ܑ ܀
R ୵ = Wall resistance
ܐ ۯ
5 – Overall heat transfer (taking efficiency in account)
(1 - Ƞ )] ∆T
6 – Overall heat transfer coefficient
ܷ = ܗۯ
ାܗ ۯ
ܑ ۯȠ ܑܐ
ଵ
܀
܀ ۯ
ܟ ܀ା ܑ ܗା ܗା
ܑ ۯȠ
Ƞ
ܐ ۯ
- 6. Temperature Effectiveness :
Series Coupling over all counter flow
ܶଵଶ
ܶଵଵ
ܶଶଶ
A
ܶଶଵ
ܲଵ =
ܼଵ =
்భమ ି ்భభ
்మమ ି ்భభ
ܲଵ =
ܶଵଷ
B
ଵ –ோభ భಲ
ଵ –ோభ భಳ
=
ଵ – భಳ
்మమ ି ்భయ
்మభ ି ்భభ
்మయ ି ்భయ
்మమ ି ்భమ
ܶଶଵ
ܲଵ =
்మయ ି ்భమ
் ௗ ு
=
ܶଶଷ
்భయ ି ்భమ
் ௗ௩ௗ௨ ௨ௗ
ଵ – భಲ
ܶଵଵ
=
்భమ ି ்భభ
்భయ ି ்భభ
C
்భయ ି ்భభ
்మయ ି ்భభ
=
்మమ ି ்మభ
்మయ ି ்మభ
ܶଵଷ
ܶଶଷ
- 7. ଵ – భ
ଵ –ோభ భ
=
ଵ – భಲ
ଵ –ோభ భಲ
×
ଵ – భಳ
ଵ –ோభ భಳ
=
்మయ ି ்భయ
்మభ ି ்భభ
General formula for ܲଵ
ܲଵ =
For R=1
∏ ( ଵିோభ భಲ )ି ∏ ( ଵିభಲ )
సభ
సభ
∏ ( ଵିோభ భಲ ) ି ோభ ∏ ( ଵିభಲ )
సభ
సభ
Pଵ = ∑ ൭
ୀଵ
ುభಲ
൫భషುభಲ ൯
ುభಲ
൨
ଵା∑
సభ ൫భషು
భಲ ൯
൱൩
Series Coupling overall parallel flow
ܶଵଶ
ܶଵଵ
ܶଶଶ
ܶଶଵ
ܲଵ =
ଵ
ଵାோభ
ܶଵଷ
ܶଶଷ
ܶଵଵ
ܶଶଵ
ሼ1 − ∏ ሾ1 − (1 + ܴ)ܲଵ ሿሽ
ୀଵ
NTU = ∑ ܷܰܶଵ
ୀଵ
- 8. DOUBLE PIPE HEAT EXCHANGER
Counter Flow
( Cold-Tube Side , Hot- Shell Side)
(ଵି)
=
(ଵିோ)
∆ܶ =
ଵ
ே்
=
் ି ்ೠ
்ೠ ି ்
(் ି ் ) (ோିଵ)
(ோିଵ)
݈݊ቀ1−ܲቁ
ܴܲ
ቀ
భషು
ቁ
ುೃ
NTܷ =
ோ
For n- pass heat exchangers
1- Cold fluid in parallel and hot fluid in series flow
ߠ=
భൗ
భ
)
భషುೃ)
((
ೃ
( ିଵ)
భ
ൗ
భ
ൗ
ቌଵିೃ ቍାೃ
2- Cold fluid in series and hot fluid in parallel flow
ߠ=
(ଵିோ)⁄
(ଵିோ)ቀ
భ
ቁ
భషು
భ
ାோ൩