3dde9228-a986-4726-a280-932e45c98130 8 4 5 decimal

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Given Values:

U.overall 120 watt m 2^K * / * :

T.c.i 7 - (°C * : 266.15 K *

T.h.i 85 °C * : 358.15 K *

m.h 0.6 kg s / * :

T.c.o 0 °C * : K 273.15

m.c 2.4 kg s / * :

C.p.h 4.18 kJ kg K * / * :

C.p.c 5.20 kJ kg K * / * :

Calculated Values:

C.1 m.h C.p.h * : 2508 W K / *

C.2 m.c C.p.c * : 12480 W K / *

Cmin C.1 : 2508 W K / *

C.c C.2 : 12480 W K / *

C.h C.1 : 2508 W K / *

P-NTU Method for CF HEX Arrangement:

T.h.o C.2 C.1 / T.c.o T.c.i - (* - T.h.i + : 323.3175 K *

ΔT.max T.h.i T.c.i - : 92 K *

ΔT.1 T.h.i T.c.o - : 85 K *

q C.1 T.h.i T.h.o - (* : 87360 W *

ΔT.2 T.h.o T.c.i - : 57.1675 K *

R.1 C.1 C.2 / : 0.201

P.1 q C.1 ΔT.max * / : 0.3786

NTU.1.1 11 R.1 - / 1 R.1 P.1 * - 1 P.1 - / ln * : 0.4964

Correlation for CF HEX at Table3.6 Eq I.1.2:

A.1 NTU.1.1 C.1 * U.overall / : 10.3754 m 2^*

Required Heat TransferArea for HEX:

MTD Method for CF HEX Arrangement:

ΔT.m ΔT.1 ΔT.2 - ΔT.1 ΔT.2 / ln / : 70.1661 K *

Log Mean Temperature Difference ForCF Arrangement:

Required Heat TransferArea for HEX:

A.2 q U.overall ΔT.m * / : 10.3754 m 2^*

P-NTU Method 1 - 2 TEMA E HEX Arrangement:

\[REGION[6c097d96be9a4e27b6a30f618b2a1f44]]\

Correlation for 1 - 2 TEMA EHEX Arrangement at Table 3.6 Eq III.1.1:

E 1 R.1 2^+ (0.5^: 1.02

Correlation for 1 - 2 TEMA EHEX Arrangement at Table 3.6 Eq III.1.2:

NTU.1.2 1 E / 2 P.1 1 R.1 + E - (* - 2 P.1 1 R.1 + E + (* - / ln * : 0.5006

Required Heat TransferArea for HEX:

A.3 NTU.1.2 C.1 * U.overall / : 10.463 m 2^*

MTD Method for 1 - 2 TEMA E HEX Arrangement:

Correlation for 1 - 2 TEMA EHEX Arrangement Correction Factorat Table 3.6 Eq III.1.3:

F E 1 R.1 P.1 * - 1 P.1 - / ln * 11 R.1 - (2 P.1 1 R.1 + E - (* - 2 P.1 1 R.1 + E + (* - / ln * / * : 0.9916

Required Heat TransferArea for HEX:

A.4 q U.overall ΔT.m * F * / : 10.463 m 2^*

Note that same result with P-NTU Method