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Numerical study on heat transfer enhancement and flow characteristics of double pipe heat exchanger fitted with rectangular cut twisted tape

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Abstract

In the present study, the heat transfer, friction factor and thermal performance factor of rectangular cut twisted tape (RCT) that are inserted in inner tube side of a double pipe heat exchanger (DPHE) are numerically examined. The obtained results have been compared with the performance of heat exchangers, which are equipped/unequipped by typical twisted tape (TT). The RCTs have constant twist ratio (Y = 3.0) and are used in different cut depth ratios (DR = 0.15, 0.24 and 0.33) and cut width ratios (WR = 0.15, 0.24 and 0.33). The investigated Reynolds number range is from 6000 to 18,000 and the working fluid is considered to be water. Hot water with a variable mass flow rate is flowing through the inner pipe but cold water has counter flow through annulus side with constant mass flow rate. For the selection of the turbulence model and validation, the obtained numerical results for plain double pipe heat exchanger (P-DPHE) and heat exchanger with TT are compared with empirical correlations. Then the more accurate model was used to simulate the RCTs cases. Comparing the simulation results for RCTs and TT, it was determined that Nusselt number, friction factor and thermal performance factor will have higher value when using RCTs. This behavior is directly and inversely proportional to the DR and WR respectively. In this study, the highest thermal performance factor is about 1.46 which is obtained for RCTs in DR = 0.33 and WR = 0.15 conditions. In addition, new empirical correlations have been offered for calculating a Nusselt number and friction factor for inserted rectangular cut twisted tape in a tube.

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Abbreviations

C1,C2,C1ε, C2ε, Cμ :

Model constant

C p :

Specific heat capacity at constant pressure, J/kg K

CD κω :

Cross-diffusion term, Kg/m S2

d :

Rectangular cut depth, m

D :

Diameter of tube, m

D h :

Hydraulic diameter, m

E :

Energy, J

f :

Friction factor

F1, F2 :

Blending function

G κ :

Generation of turbulence kinetic energy due to the mean velocity gradients

G ω :

Generation of specific dissipation rate

h :

Heat transfer coefficient, W/(m2K)

k :

Thermal conductivity, W/(mK)

L :

Length of tube, m

\( \dot{m} \) :

Mass flow rate, kg/s

Nu :

Nusselt number

p :

Pitch length based on 180 ° , m

P :

Pressure, Pa

∆P :

Pressure drop, Pa

Pr :

Prandtl number

Q :

Heat transfer rate, W

Re :

Reynolds number

R ε :

Term relating to the mean strain and turbulence quantities

S :

Invariant measure of the strain rate, 1/s

t :

Time, s

T :

Temperature, °C

u :

Average velocity, m/s

w :

Rectangular cut width, m

W :

Width of twisted tape, m

x :

Axial coordinate, m

y :

Shortest distance to the near wall, m

Y :

Twist ratio, (p/W)

α ε :

Inverse Prandtl numbers for ε

α κ :

Inverse Prandtl numbers for k

β1, β2, β∗ :

Turbulent modeling constant

γ :

Turbulent modeling constant

δ ij :

Kronecker delta

δ :

Thickness of tape, m

ε :

Turbulent dissipation rate, m2/s3

κ :

Turbulent kinetic energy, m2/s2

μ :

Dynamic viscosity, kg/ms

υ :

Kinematic eddy viscosity, m2/s

ρ :

Density, kg/m3

σ ε :

Turbulent Prandtl numbers for ε

σ κ :

Turbulent Prandtl numbers for k

σ ω :

Turbulent Prandtl numbers for ω

τ ij :

Turbulent Reynolds stress tensor kg/ms2

ω :

Specific dissipation rate, 1/K

a :

Annulus side

c :

Cold

eff :

Effective

h :

Hot

i :

Inner tube side

in :

Inlet

out :

Outlet

p :

Plain tube

t :

Turbulent

DPHE :

Double pipe heat exchanger

DR :

Rectangular cut depth ratio, (d/W)

P − DPHE :

Plain double pipe heat exchanger

RANS :

Reynolds-averaged Navier-Stokes (equations)

RCT :

Rectangular cut twisted tape

RNG :

Re-Normalization Group

SST :

Shear stress transport

TPF :

Thermal performance factor

TT :

Typical twisted tape

WR :

Rectangular cut width ratio, (w/W)

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Authors and Affiliations

  1. Department of Mechanical Engineering, Sahand University of Technology, Tabriz, 51335-1996, Iran

    Ali Barzegar & Dovood Jalali Vahid

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  1. Ali Barzegar
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  2. Dovood Jalali Vahid
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Correspondence to Ali Barzegar.

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Barzegar, A., Jalali Vahid, D. Numerical study on heat transfer enhancement and flow characteristics of double pipe heat exchanger fitted with rectangular cut twisted tape. Heat Mass Transfer 55, 3455–3472 (2019). https://doi.org/10.1007/s00231-019-02667-1

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