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Effect on the flow and heat transfer characteristics for sinusoidal pulsating laminar flow in a heated square cylinder

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Abstract

Two-dimensional numerical simulation is performed to understand the effect of flow pulsation on the flow and heat transfer from a heated square cylinder at Re = 100. Numerical calculations are carried out by using a finite volume method based on the pressure-implicit with splitting of operators algorithm in a collocated grid. The effects of flow pulsation amplitude (0.2 ≤ A ≤ 0.8) and frequency (0 ≤ f p  ≤ 20 Hz) on the detailed kinematics of flow (streamlines, vorticity patterns), the macroscopic parameters (drag coefficient, vortex shedding frequency) and heat transfer enhancement are presented in detail. The Strouhal number of vortices shedding, drag coefficient for non-pulsating flow are compared with the previously published data, and good agreement is found. The lock-on phenomenon is observed for a square cylinder in the present flow pulsation. When the pulsating frequency is within the lock-on regime, time averaged drag coefficient and heat transfer from the square cylinder is substantially augmented, and when the pulsating frequency in about the natural vortex shedding frequency, the heat transfer is also substantially enhanced. In addition, the influence of the pulsating amplitude on the time averaged drag coefficient, heat transfer enhancement and lock-on occurrence is discussed in detail.

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Abbreviations

A :

Pulsating amplitude, dimensionless

B :

Side length of a square cylinder (mm)

C D :

Drag coefficient, dimensionless

C L :

Lift coefficient, dimesionless

C p :

Specific of fluid (J/kg K)

E :

Heat transfer enhancement factor: Nu p/Nu s

f :

Dimensional frequency (Hz)

F D :

Drag force (N)

F L :

Lift force (N)

f p :

Pulsating frequency (Hz)

f s :

Vortex shedding frequency (Hz)

f sn :

Natural vortex shedding frequency (Hz)

h :

Convective heat transfer coefficient (W/m2 K)

H :

Height of flow channel (mm)

k :

Thermal conductivity of fluid (W/m K)

L :

Perimeter of cylinder (mm)

L D :

Distance from the channel outlet to the downstream face of the cylinder (mm)

L U :

Distance from the channel inlet to upstream face of the cylinder (mm)

Nu :

Time and space average Nusselt number

Nu xt :

Local nusselt number of the cylinder

Pr :

Prandtl number: η/α

q w :

Heat flux from heater surface of the cylinder (W/m2)

Re :

Reynolds number: U m B/η

St :

Strouhal number: fB/U m

T w :

Local surface temperature (K)

T in :

Inlet fluid temperature (K)

U :

Inlet velocity (m/s)

U m :

Time average inlet velocity (m/s)

X :

Streamwise coordinate (mm)

Y :

Transverse coordinate (mm)

α :

Thermal diffusivity of fluid (m2/s)

η :

Kinematic viscosity of fluid (m2/s)

ρ :

Density of fluid (kg/m3)

τ :

Vortex shedding period (s)

p :

Pulsating component

s :

Steady-state component

f :

Front surface of the square cylinder

r :

Right surface of the square cylinder

b :

Bottom surface of the square cylinder

t :

Top surface of the square cylinder

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Acknowledgments

This work is financially supported by the Natural Sciences Foundation of China (No. 50976080) and Sciences Foundation of Wuhan Institute of Technology (No. 14125061).

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Authors and Affiliations

  1. School of Mechanical and Electronic Engineering, Wuhan Institute of Technology, 693 Xiongchu Avenue, Wuhan, 430073, Hubei, People’s Republic of China

    Jiu-Yang Yu, Wei Lin & Xiao-Tao Zheng

  2. School of Mechanical and Electronic Engineering, Wuhan University of Technology, 122 Luoshi Road, Wuhan, 430070, Hubei, People’s Republic of China

    Jiu-Yang Yu & Wei Lin

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  1. Jiu-Yang Yu
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  2. Wei Lin
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Correspondence to Jiu-Yang Yu.

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Yu, JY., Lin, W. & Zheng, XT. Effect on the flow and heat transfer characteristics for sinusoidal pulsating laminar flow in a heated square cylinder. Heat Mass Transfer 50, 849–864 (2014). https://doi.org/10.1007/s00231-014-1294-4

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  • DOI: https://doi.org/10.1007/s00231-014-1294-4

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