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Numerical Simulations of Heat Transfer Performance of Taylor–Couette Flow in Slit Model

  • Research Article-Mechanical Engineering
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Abstract

A partially averaged Navier–Stokes model is used to simulate the fluid field in the coaxial cylindrical gap, and the reliability of numerical simulation is verified by comparing with the particle image velocimetry experiment. Firstly, the influence of structural parameters and physical parameters on heat transfer enhancement of the slit model is investigated. In the next step, response surface method is adopted to obtain the slit parameter structure with optimal heat transfer performance. Slit width (2.5 mm < w < 15 mm), slit number (9 < N < 15), Reynolds number (2000 < Re < 4652) and Prandtl number (5.90 < Pr < 6.22) are selected as design parameters while the average Nusselt number is taken as the objective function. The results show that the increasing of Reynolds number strengthens the jet flow of vortex pairs, which enhances the heat transfer capacity of the Taylor vortex. As increasing the slit width, heat transfer performance of the model increases first and then decreases. The optimized model with slit structure parameters of N = 12 and w = 13.15 mm has the best heat transfer capacity, which increases by 12.42% when Reynolds Numbers is 4652.

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Abbreviations

A 0 :

Heat transfer area (mm2)

C p :

Specific heat of fluid at constant pressure (J/kg·K)

d :

Annular gap width (mm)

D h :

Hydraulic diameter (mm)

G k :

Term of turbulent kinetic energy generated by time average velocity gradient

L :

Length of the cylinders (mm)

N :

Slit number

\(\overline{{{\text{Nu}}}}\) :

Average Nusselt number

Pr:

Prandtl number

p :

Pressure (pa)

\(\overline{{{{q}}}}\) :

Average heat flux (W mm−2)

Re:

Reynolds number

r i :

Radius of the inner cylinder (mm)

r o :

Radius of the outer cylinder (mm)

R*:

Dimensionless number of radial position

S T :

Viscous dissipation term

T out :

Temperature of the stationary outer cylinder wall (°C)

T in :

Temperature of the rotating inner cylinder wall (°C)

ΔT :

Temperature gradient (°C)

v r :

Radial velocity (m/s)

v z :

Axial velocity (m/s)

w :

Slit width (mm)

z :

Axial position (mm)

z*:

Dimensionless number of axial position

Ω :

Angular velocity (rad/s)

λ :

Coefficient of thermal conductivity (W mm−1 K−1)

ω :

Vorticity

η :

Radius ratio

Г :

Aspect ratio

f k :

Turbulent kinetic energy term

f ε :

Turbulent kinetic energy dissipation term

k :

Total turbulent kinetic energy

ε :

Total dissipation rate

σ k, σ ε :

Modified Prandtl number corresponding to k and ε

ν :

Kinematical viscosity of the working fluid (Pa s)

α :

Thermal expansion coefficient (1/°C)

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Acknowledgements

This study is supported by the National Natural Science Foundations of China (51676086), Natural Science Foundation of Jiangsu Province (BK20161351), and the 15th Six Talents Peak Project of Jiangsu Province (TD-JNHB-002).

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Authors and Affiliations

  1. School of Energy and Power Engineering, Jiangsu University, Zhenjiang, China

    Si-liang Sun, Dong Liu & Ying-Ze Wang

  2. School of Mechanical Engineering, Nantong University, Nantong, China

    Wei-Dong Shi

  3. School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju, Korea

    Hyoung-Bum Kim

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  1. Si-liang Sun
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  2. Dong Liu
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Correspondence to Dong Liu.

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Sun, Sl., Liu, D., Shi, WD. et al. Numerical Simulations of Heat Transfer Performance of Taylor–Couette Flow in Slit Model. Arab J Sci Eng 46, 7153–7170 (2021). https://doi.org/10.1007/s13369-021-05338-8

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  • DOI: https://doi.org/10.1007/s13369-021-05338-8

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