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Optimizing the hydrothermal performance of helically corrugated coiled tube heat exchangers using Taguchi’s empirical method: energy and exergy analysis

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Abstract

In this work, a three-dimensional study of shell and helically corrugated coiled tube heat exchanger with considering exergy loss is investigated. Various design parameters and operating conditions such as corrugation depth (e), corrugation pitch (p) or the number of rounds, inlet fluid flow rate on the coil and shell sides are numerically investigated to examine the heat exchanger hydrothermal performance. Taguchi analysis is used to analyze the hydrothermal parameters by considering the interaction effects of them. The obtained results showed that increasing the inlet fluid flow rate on the coil side, corrugation depth and the number of rounds increases both heat transfer and pressure drop. It is also found that the most effective parameter on the thermal performance of the heat exchanger is the fluid flow rate on the coil side, followed by the corrugation depth and the most effective parameter on the hydrodynamic performance of the heat exchanger is fluid flow rate on the coil side, followed by corrugation pitch and corrugation depth. Based on the exergy analysis in the heat exchanger, using a helically corrugated coiled tube instead of the helically plain coiled tube in the heat exchanger for the cases of low Reynolds numbers has higher effectiveness.

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Abbreviations

c p :

Specific heat capacity (J kg−1 K−1)

\(C_{\upmu}\) :

Coefficient of turbulent viscosity

d :

Tube diameter (m)

D s :

Shell diameter (m)

D c :

Coil diameter (m)

Ex:

Exergy (W)

e :

Corrugation depth (m)

h :

Enthalpy (J)

k :

Turbulent kinetic energy (J)

L :

Length (m)

\(\dot{m}\) :

Mass flow rate (kg s−1)

n :

Number of rounds

Nu:

Nusselt number

P :

Pressure (Pa)

p :

Corrugation pitch (m)

p c :

Coil pitch (m)

Q :

Heat transfer rate (W)

q1:

Flow rate (cold side) (kg s−1)

q2:

Flow rate (shell side) (kg s−1)

S :

Entropy (W)

S ij :

Strain rate tensor

Re:

Reynolds number

SN:

Signal to noise ratio

T :

Temperature (K)

u :

Velocity (m s−1)

x i, x j :

Cartesian coordinates

\(\varepsilon\) :

Turbulent dissipation rate (m2 s−3)

\(\mu\) :

Dynamic viscosity (kg m−1 s−1)

\(\nu\) :

Kinematics viscosity (m2 s−1)

\(\rho\) :

Density (kg m−3)

\(\sigma_{\text{k}}\) :

Turbulent Prandtl number for k

\(\sigma_{\upvarepsilon}\) :

Turbulent Prandtl number for \(\varepsilon\)

e:

Environment

c:

Cold

h:

Hot

i:

Inlet

o:

Outlet

s:

Shell

ci:

Fluid inlet-cold side

co:

Fluid outlet-cold side

hi:

Fluid inlet-hot side

ho:

Fluid outlet-hot side

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Authors and Affiliations

  1. Department of Mechanical Engineering, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    Omid Heydari & Mehdi Miansari

  2. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran

    Hossein Arasteh

  3. Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

    Davood Toghraie

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  1. Omid Heydari
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  2. Mehdi Miansari
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  4. Davood Toghraie
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Correspondence to Mehdi Miansari.

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Heydari, O., Miansari, M., Arasteh, H. et al. Optimizing the hydrothermal performance of helically corrugated coiled tube heat exchangers using Taguchi’s empirical method: energy and exergy analysis. J Therm Anal Calorim 145, 2741–2752 (2021). https://doi.org/10.1007/s10973-020-09808-3

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