Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 2
147
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Novel approach of thermal modeling of partially dry–wet chilled water cooling coil under unit and nonunit Lewis number conditions

&
Pages 164-181 | Received 10 Jan 2016, Accepted 11 Mar 2016, Published online: 23 Jun 2016
 

ABSTRACT

The main objective of this work is to present a new modeling approach of thermal performance and design of partially dry–wet cooling coils working under unit or nonunit Lewis number conditions. The innovative model is presented as a new simplified and practical correlation that interrelates the cooling coil effectiveness (ε) with its number of transfer unit, and vice versa. The simplified model was constructed on a basis of solving the heat and mass transfer equation “enthalpy potential method” simultaneously coupled with the thermodynamics equations. The validity of the new correlations was tested through predictions of its thermal performance. The output results of those correlations show satisfactory agreement with those obtained from the referenced data with deviation of less than 10%. The main feature of this novel correlation is its simplicity and easiness in calculation by knowing input Lewis number and some other key parameters. Also, the main benefit of this new model is to provide helpful guidelines for optimization of fully wet or partially dry–wet cooling coils’ performance and developing suitable control strategies to achieve higher thermal behavior of the cooling coil during its operation.

Nomenclature

A=

surface area of the cooling coil, m2

Ad=

surface area of the cooling coil at the end of the dry section, m2

Ai=

inner surface area of the cooling coil, m2

Ao=

outer surface area of the cooling coil, m2

b=

slope of saturation air enthalpy line or fictitious specific heat, kJ/kg K

Cpa=

air specific heat, kJ/kg K

Cpw=

water specific heat, kJ/kg. K

Cpraw=

ratio of specific heat of air and water

Cro=

ratio of fictitious specific heat and water specific heat

dbt=

air dry-bulb temperature,°C

dv=

control volume

h=

specific air enthalpy, kJ/kg

ha=

specific air enthalpy, kJ/kg

hs=

specific saturated air enthalpy, kJ/kg

Le=

Lewis number

m=

mass flow rate, kg/s

mraw=

ratio between mass flow rate of air and water

NTU=

number of transfer unit based on the total surface area

NTUd=

number of transfer unit based on the dry-section surface area

Q=

heat transfer, W

SHF=

sensible heat factor or ratio

T=

temperature,°C

Ta=

air temperature,°C

Tw=

chilled water temperature,°C

Ts=

surface temperature,°C

wbt=

air wet-bulb temperature,°C

ε=

effectiveness

α=

heat transfer coefficient, W/m2 C

ηs=

area-weighted surface fin efficiency

Subscripts=
a=

air or ambient

ai=

inlet air

ad=

outlet air at the dry section

ao=

outlet air

am=

mean value for air

ad=

air properties at the end of dry section

d=

dry

eq=

equivalent

i=

inner or inlet

in=

inlet

J=

arbitrary control volume

m=

mean

o=

outer or outside

out=

outside

s=

saturated

sm=

mean value for surface

swin=

surface condition at inlet water temperature

swd=

surface condition at water temperature at the end of the dry-section

swout=

surface condition at outlet water temperature

w=

wet or water

win=

inlet water

wbti=

air wet-bulb temperature at the cooling coil inlet

wbtd=

air wet-bulb temperature at the dry-section exit

wd=

outlet water at the dry-section exit

wout=

outlet water at the cooling coil exit

wm=

mean value for chilled water

Nomenclature

A=

surface area of the cooling coil, m2

Ad=

surface area of the cooling coil at the end of the dry section, m2

Ai=

inner surface area of the cooling coil, m2

Ao=

outer surface area of the cooling coil, m2

b=

slope of saturation air enthalpy line or fictitious specific heat, kJ/kg K

Cpa=

air specific heat, kJ/kg K

Cpw=

water specific heat, kJ/kg. K

Cpraw=

ratio of specific heat of air and water

Cro=

ratio of fictitious specific heat and water specific heat

dbt=

air dry-bulb temperature,°C

dv=

control volume

h=

specific air enthalpy, kJ/kg

ha=

specific air enthalpy, kJ/kg

hs=

specific saturated air enthalpy, kJ/kg

Le=

Lewis number

m=

mass flow rate, kg/s

mraw=

ratio between mass flow rate of air and water

NTU=

number of transfer unit based on the total surface area

NTUd=

number of transfer unit based on the dry-section surface area

Q=

heat transfer, W

SHF=

sensible heat factor or ratio

T=

temperature,°C

Ta=

air temperature,°C

Tw=

chilled water temperature,°C

Ts=

surface temperature,°C

wbt=

air wet-bulb temperature,°C

ε=

effectiveness

α=

heat transfer coefficient, W/m2 C

ηs=

area-weighted surface fin efficiency

Subscripts=
a=

air or ambient

ai=

inlet air

ad=

outlet air at the dry section

ao=

outlet air

am=

mean value for air

ad=

air properties at the end of dry section

d=

dry

eq=

equivalent

i=

inner or inlet

in=

inlet

J=

arbitrary control volume

m=

mean

o=

outer or outside

out=

outside

s=

saturated

sm=

mean value for surface

swin=

surface condition at inlet water temperature

swd=

surface condition at water temperature at the end of the dry-section

swout=

surface condition at outlet water temperature

w=

wet or water

win=

inlet water

wbti=

air wet-bulb temperature at the cooling coil inlet

wbtd=

air wet-bulb temperature at the dry-section exit

wd=

outlet water at the dry-section exit

wout=

outlet water at the cooling coil exit

wm=

mean value for chilled water

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.