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Numerical evaluation of the heat transfer and fluid flow in a corrugated coil tube with lobe-shaped cross-section and two types of spiral twisted tape as swirl generator

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Abstract

In the present study, heat transfer and fluid flow in a corrugate coil tube with different lobe-shaped cross-sections are evaluated numerically. Also, spiral twisted tape as turbulator with various geometries is placed in the proposed corrugate coil tube. The examined parameters include the geometry of corrugated coil’s cross-section and twisted tape’s geometry in corrugated coil tube. Obtained results show that five-lobe cross-section rises the Nusselt number and pressure drop by 9.1% and 3.7%, respectively, in comparison with three-lobe case. Furthermore, increasing the area of spiral twisted tape in the five-lobe corrugated tube leads to growth in Nusselt number and pressure drop by 30.7% and 37.1%, respectively. Also, among the cases with spiral center cleared twisted tape, at higher investigated Reynolds number (Re = 35,000), the thermal efficiency of the three-, four-, and five-lobe models with center cleared twisted tape is more than the three-, four-, and five-lobe models with simple spiral twisted tape by 16, 18.64, and 19.16%, respectively.

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Abbreviations

C p :

Specific heat capacity (kJ kg−1 K−1)

D C :

Diameter of coil (m)

d C :

Diameter of tube (m)

d h :

Hydraulic diameter (m)

f :

Darcy friction factor

g :

Gravitational acceleration (m s−2)

h :

Heat transfer coefficient (W m−2 K−1)

K :

Turbulent kinetic energy

k :

Thermal conductivity (W m−1 K−1)

L :

Length of corrugated coil (m)

L Corrugated :

Height of corrugated coil (m)

P :

Pressure (Pa)

p :

Pitch of coil (m)

S :

Source term (kJ m−3)

T :

Temperature (°C)

t :

Time (s)

u :

Fluid velocity (m s−1)

w :

Width of twisted tape (m)

Pr:

Prandtl number [\( \Pr = \frac{{c_{\text{p}} \mu }}{k} \)]

Pe:

Péclet number [\( {\text{Pe}} = \text{Re} \cdot \Pr \)]

Re:

Reynolds number [\( \text{Re} = \frac{{{\mathcal{P}}ud}}{\mu } \)]

Nu:

Nusselt number [\( {\text{Nu}} = \frac{hd}{k} \)]

\( \rho \) :

Density (kg m−3)

μ :

Viscosity (cP)

ε :

Turbulent dissipation

\( \eta \) :

Thermal performance

0:

Reference

Corrugated:

Corrugated tube

RNG:

Re-normalization group

SST:

Shear stress transport

TT:

Twisted tape

CCTT:

Center cleared twisted tape

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Authors and Affiliations

  1. Department of Mechanical Engineering, Semnan University, Semnan, Iran

    Mohammad Zaboli

  2. Department of Mechanical Engineering, Mazandaran University of Science and Technology, Babol, Iran

    Mehdi Nourbakhsh

  3. Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

    Seyed Soheil Mousavi Ajarostaghi

  4. Department of Mechanical Engineering, Université de Sherbrooke, 2500 Boulevard de l’ Université, Sherbrooke, QC, J1K 2R1, Canada

    Seyed Soheil Mousavi Ajarostaghi

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  1. Mohammad Zaboli
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Correspondence to Seyed Soheil Mousavi Ajarostaghi.

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Zaboli, M., Nourbakhsh, M. & Ajarostaghi, S.S.M. Numerical evaluation of the heat transfer and fluid flow in a corrugated coil tube with lobe-shaped cross-section and two types of spiral twisted tape as swirl generator. J Therm Anal Calorim 147, 999–1015 (2022). https://doi.org/10.1007/s10973-020-10219-7

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