is proposed to cool oil in a counter-current, concentric tube heat exchanger composed of a thin-walled inner tube of 0.02 m diameter carrying oil and thin-walled, perfectly insulated outer tube of 0.05 m diameter carrying water. The oil flow rate is 50.0 kg min-1 and it has to be cooled from 90°C to 40°C using 60 kg min-1 water at 20°C. Determine the length required for the heat exchanger. Comment on the practicality of this length.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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It is proposed to cool oil in a counter-current, concentric tube heat
exchanger composed of a thin-walled inner tube of 0.02 m diameter
carrying oil and thin-walled, perfectly insulated outer tube of 0.05 m
diameter carrying water. The oil flow rate is 50.0 kg min-1 and it has to be
cooled from 90°C to 40°C using 60 kg min-1 water at 20°C.

Determine the length required for the heat exchanger. Comment on
the practicality of this length.

The physical properties of potatoes
Density, p
Specific heat capacity, cp
Thermal conductivity, k
1080 kg m-3,
3400 J kg-1 K1,
Large: 0.4 W m-1 K-1, Small: 1.25 W m-1 K-1
The physical properties of air at 20°C
Density, p
Specific heat capacity, cp
Viscosity, u
Thermal conductivity, k
Prandtl number, Pr
1.164 kg m-3
1007 J kg-1 K-1
1.84x10-5 Pa s
0.03 W m-1 K-1
0.72
The physical properties of water
Density, p
Specific heat capacity, cp
Viscosity, µ
Thermal conductivity, k
Prandtl number, Pr
1000 kg m3,
4200 J kg-1 K-1,
1.00x10-3 Pa s,
0.64 W m-1 K-1,
4.7
The physical properties of oil
Density, p
Specific heat capacity, cp
Viscosity, u
Thermal conductivity, k
Prandtl number, Pr
880 kg m3,
1900 J kg-1 K-1,
5.00x10-3 Pa s,
0.140 W m-1 K-1,
68
Heat transfer coefficient correlations
1. Nu = 0.023RE0.8 Pr0.4
2. Nu = 0.53 (GrPr)025
Re 2 10000
gB(Ts-Too)d³
1
and g = 9.8 m s², ß
T; = surface temperature, T, = bulk temperature, v =
where Gr
thermal expansion coefficient,
v2
T
kinematic viscosity
Transcribed Image Text:The physical properties of potatoes Density, p Specific heat capacity, cp Thermal conductivity, k 1080 kg m-3, 3400 J kg-1 K1, Large: 0.4 W m-1 K-1, Small: 1.25 W m-1 K-1 The physical properties of air at 20°C Density, p Specific heat capacity, cp Viscosity, u Thermal conductivity, k Prandtl number, Pr 1.164 kg m-3 1007 J kg-1 K-1 1.84x10-5 Pa s 0.03 W m-1 K-1 0.72 The physical properties of water Density, p Specific heat capacity, cp Viscosity, µ Thermal conductivity, k Prandtl number, Pr 1000 kg m3, 4200 J kg-1 K-1, 1.00x10-3 Pa s, 0.64 W m-1 K-1, 4.7 The physical properties of oil Density, p Specific heat capacity, cp Viscosity, u Thermal conductivity, k Prandtl number, Pr 880 kg m3, 1900 J kg-1 K-1, 5.00x10-3 Pa s, 0.140 W m-1 K-1, 68 Heat transfer coefficient correlations 1. Nu = 0.023RE0.8 Pr0.4 2. Nu = 0.53 (GrPr)025 Re 2 10000 gB(Ts-Too)d³ 1 and g = 9.8 m s², ß T; = surface temperature, T, = bulk temperature, v = where Gr thermal expansion coefficient, v2 T kinematic viscosity
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