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Research Article

Numerical Investigation of Air-Steam Condensation in a Vertically Enhanced Tube with Concave and Convex Surfaces

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Received 24 Nov 2023, Accepted 01 Apr 2024, Published online: 06 May 2024
 

Abstract

Condensation heat transfer enhancement technology is an important problem for heat exchangers. The air-steam condensation inside a vertically enhanced tube with concave and convex surfaces is analyzed numerically, and the effects of relevant parameters on thermohydraulic performance are discussed. The numerical results show that the drop in steam and temperature between the inlet and outlet is improved by 53.8% and 96.8%, respectively, compared with smooth tubes. In the condensation process, the noncondensable gas accumulates near the wall, which leads to the deterioration of condensation. The structures of concave and convex surfaces disrupt the boundary layer flow and noncondensable gas film and promote flow mixing, leading to enhanced condensation heat transfer. All the numerical results provide guidance values for heat transfer enhancement technology in the applications of condensers.

Nomenclature

a ==

dimple height (mm)

Cphase ==

phase-change constant

D ==

diameter of the computational domain (mm)

Di ==

diffusion coefficient

Dω ==

cross-diffusion term

E ==

energy (J)

f ==

friction factor

f1 ==

body force (N)

gτ ==

gravity along the liquid film parallel direction (m·s−2)

h ==

convection heat transfer coefficient (W·m−2·K−1)

k ==

turbulence kinetic energy (m2·s−2)

ke ==

effective thermal conductivity (W·m−1·K−1)

L ==

latent heat (J·kg−1)

Lc ==

length of the computational domain (m)

l ==

characteristic length (m)

Mi ==

molar mass (g·mol−1)

m˙s ==

mass source term (kg)

Nu ==

Nusselt number

n ==

number of dimples/protrusions

Psat(T) ==

saturation pressure (Pa)

p ==

pressure (Pa)

q ==

surface heat flux (W·m2)

S ==

pitch (mm)

Sm,j,p,h ==

source term

T ==

temperature (K)

ui ==

average velocity of internal fluid (m·s−1)

V ==

velocity vector (m·s−1)

Yk/ Yω ==

dissipation of k and ω

y/Yi ==

mass fraction

Greek

Δp ==

pressure drop (Pa)

ΔT ==

temperature drop (K)

==

Hamiltonian operator

s ==

surface gradient operator

δ ==

distance between grid center and tube wall (m)

ζ ==

thickness of liquid film (m)

λ ==

heat conductivity coefficient (W·m−1·K−1)

μl ==

dynamic viscosity of liquid phase (N·s·m−2)

ρ ==

density (kg·m−3)

Γ ==

effective diffusivity

τfs ==

viscous shear force in the gas-liquid interface (N)

τθw ==

surface force (N)

φ ==

universal variables

ω ==

Specific dissipation rate (W·mm2)

Subscripts

0 ==

standard condition

f ==

liquid film

i ==

species i

m ==

liquid film half-depth temperature

n ==

adjustment coefficient

s ==

liquid film surface

sat ==

saturation

w ==

tube wall

Disclosure Statement

No potential conflict of interest was reported by the authors.

Credit Authorship Contribution Statement

Jiyu Zheng: methodology, software, writing original draft, software; Liang Zhang: visualization, investigation; Zheng Liang: data curation, conceptualization; Bojia Wei: supervision, validation; Zhongchao Yan: writing review and editing; Xin Chen: writing review and editing.

Additional information

Funding

This research was supported by the National Key Research and Development Program of China, grant no. [2016YFC0802100].

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