PHE DESIGN CALCULATIONS
DEFINITION OF DUTY
mass flowrate Temp in Temp out
Mango Puree 1.39 80 35
Cooling tower water 7.12 30 38
THERMO-PHYSICAL PROPERTIES (evaluate at ave bulk temp)
Mango Puree Hot Water
ρ kg m -3
1050 1000
Cp J kg-1 °C-1 3811 4180
μ Pa s-1 9.35E-04 8.90E-04
k W m °C
-1 -1
0.5917 0.6
HEAT TRANSFER AREA
Q W 238187.50
Uo W m-2 °C-1 2272
ΔTlm,corr °C 16.52
ΔTlm °C 17.39
NTU 2.59
Ft 0.95
A m2 6.35
PLATE DIMENSIONS & PROPERTIES
Plate length m 0.5
Plate width m 0.26
Plate thickness m 0.005
Plate spacing m 0.0026
MOC thermal cond. W m-1 °C-1 45
PLATE GEOMETRY
Surface area of 1 plate m2 0.174
No. of Plates 36.48
No. of effective Plates 34.48
No. of channels per pass 17.74
Channel cross-sectional area m2 0.00068
Channel hydraulic diameter m 0.00524
Total flow area per fluid m2 0.01209
PRODUCT-SIDE HTC
Mass velocity kg m-2 s-1 114.89
Reynolds no. 644.38
Prandtl no. 6.02
h_sp (scale factor)
Nu 35.704527057287
h_p W m °C
-2 -1
4030.69
UTILITY-SIDE HTC
Mass velocity kg m-2 s-1 589.20
Reynolds no. 3469.91
Prandtl no. 6.20
h_up (scale factor)
Nu 107.93
h_u W m °C -2 -1
12355.25
OVERALL HEAT TRANSFER COEFFICIENT
Total Resistance W-1 m2 °C 0.0004
Overall HTC, U W m °C -2 -1
2271.98
% Difference 0%
PRESSURE DROP
Friction factor, jf
Path length
Pressure drop
Np
dpt
Ap
w
upt
Pressure drop, expansion
Total Pressure Drop
Ave Bulk Temp
57.5
34
2271.97912432108 Ucalc 0% Difference
Typically ranges from 0.5 to 4.0 (bet. 2.0 to 3.0 for most applications)
use 0.5 for rough sizing
If with corrugation: (Plate width) = (Plate pitch) - (Plate thickness)
based on Plate Data from APV Manual (Plate Liquid Capacity = 0.456 L)
assumptions only
based on Plate Data from APV Manual, 0.174 sq. mt.
add 30% allowance 47 plates
No heat transfer across 2 end plates
= (Plate width) x (Plate spacing)
Taken as twice the gap between the plates
if less than 3.66, take 3.66 as the value
hd/k=0.26(Re^0.65)(Pr^0.4)
if less than 3.66, take 3.66 as the value
hd/k=0.26(Re^0.65)(Pr^0.4)
jf=0.6(Re)^-0.3
(-dP)=8(jf)(Lp/De)(ρu2/2)
