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A study on a flexible wing with up–down vibration in a pulsating flow of cooling air to improve heat transfer efficiency

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Abstract

We investigated a flexible wing that can function as a folding fan by vibrating smoothly on a heated surface, and the effects of this vibration on heat transfer. For flexible up–down vibrations of the wing in a pulsating flow, we propose a novel milli-scale flexible wing shape with a relatively large body and a narrow connecting leg. The shape was optimized such that its deformation became much larger at a low air flow. We performed two-way fluid–structure interaction analyses to predict performance, and an experimental validation was also conducted. The details of flow, heat transfer, and structural deformation are summarized qualitatively. Our results show that the heat transfer coefficient of a heated surface with a single flexible wing was approximately 11.3 % greater than that of a flat plate.

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Abbreviations

A HT :

Heat transfer area (m2)

C p :

Specific heat of fluid (J/kg K)

D h :

Hydraulic diameter (m)

E j :

Young’s modulus of the material (N/m2)

f :

Frequency of pulsating flow (Hz)

h :

Convective heat transfer coefficient (W/m2 K)

H c :

Height of channel (mm)

H d :

Height of computational domain (mm)

I j :

Moment of inertia (1/m4)

k :

Thermal conductivity of fluid (W/m2 K)

l :

Length of fin (mm)

L c :

Length of channel (mm)

L d :

Length of computational domain (mm)

M σ :

Moment of bending (N m)

N u :

Nusselt number (hL/k)

q″:

Wall heat flux (W/m2 K)

T ∞ :

Free stream temperature (K)

T w :

Wall temperature (K)

u i :

Inlet pulsating velocity (m/s)

V :

Volume of computational domain (m3)

V 0 :

Average inlet velocity (m/s)

W c :

Width of channel (mm)

W d :

Width of computational domain (mm)

y j :

Distance from the neutral axis (m)

n :

A unit normal vector

σ f :

Stress in fluid

σ s :

Stress in solid

E :

Total energy

f B :

Body force

σ :

Cauchy-stress tensor

δ :

Deformation of fin (mm)

θ :

Initial angle (°)

θ d :

Deformed angle of fin (°)

σ max :

Maximum stress (N/m2)

σ yield :

Yield stress (N/m2)

c:

Channel

d:

Domain

∞ :

Free stream

w:

Wall

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Acknowledgments

This work was supported by a grant-in-aid for the Leading Foreign Research Institute Recruitment Program through NRF in Korea (No. K20703001798-11E0100-00310), and partially supported by the Radioactive Waste Management of the KETEP in Korea (No. 20101720200020-12-3-01). One of the authors, S. H. Park, is grateful for support of NRF in Korea (No. 2011-0002692).

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Authors and Affiliations

  1. School of Mechanical Engineering, Pusan National University, 30 Jangjeon-Dong, Geumjeong-Gu, Busan, 609-735, Republic of Korea

    Ki-Hong Park, Sang-Hu Park & Man Yeong Ha

  2. Rolls-Royce University Technology Center, Pusan National University, 30 Jangjeon-Dong, Geumjeong-Gu, Busan, 609-735, Republic of Korea

    June Kee Min & Jin-Kyu Kim

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  1. Ki-Hong Park
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  2. June Kee Min
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  3. Jin-Kyu Kim
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  4. Sang-Hu Park
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Correspondence to June Kee Min or Sang-Hu Park.

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Park, KH., Min, J.K., Kim, JK. et al. A study on a flexible wing with up–down vibration in a pulsating flow of cooling air to improve heat transfer efficiency. Heat Mass Transfer 49, 1459–1470 (2013). https://doi.org/10.1007/s00231-013-1188-x

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  • DOI: https://doi.org/10.1007/s00231-013-1188-x

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