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Effect of the aspect ratio of an elliptical cylinder on mixed convective heat transfer within a lid-driven enclosure

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Abstract

This study examines the mixed convection inside a lid-driven enclosure containing an elliptical cylinder for Reynolds numbers of 100 ≤ Re ≤ 1000. A simulation conducted to study the effects of the aspect ratio, and the temperature boundary conditions (θcyi = θC or θC/2) of the elliptical cylinder. The heat transfer performances rely on the relative magnitude of the viscous force caused by the top lid movement. Another factor is the buoyancy force that occurred due to the temperature difference between the heated bottom and the cold top walls, which also strongly depends on the aspect ratio. At Re = 500, the value of <NuB> increased by about 7.6 % at θCyl = 0 and AR = 4.00 compared to the results of a circular cylinder (AR = 1.00). Moreover, a correlation has been proposed to estimate the Nusselt nuber for the geiven Reynolds number, aspect ratio, and the temperature of cylinder based on the power law model with a high goodness of curve fitting.

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Abbreviations

AR :

Aspect ratio

f :

Momentum forcing

g :

Acceleration of gravity

Gr :

Grashof number

L :

Length of square enclosure

n :

Normal direction to the wall

Nu :

Local Nusselt number

<Nu>:

Surface-averaged Nusselt number

p :

Dimensionless pressure

Pr :

Prandtl number

q :

Mass source and sink

R :

Radius of circular cylinder

Re :

Reynolds number

t :

Dimensionless time

u :

Dimensionless velocity

W :

Surface area of walls

x :

Dimensionless Cartesian coordinates

α :

Thermal diffusivity

α :

Thermal expansion coefficient

δ,2 :

Kronecker delta

ρ :

Density

ν :

Kinematic viscosity

ø :

Dimensionless temperature

* :

Dimensional value

B :

Bottom wall

c :

Cold

Cyl :

Cylinder

En :

Enclosure

h :

Hot

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Acknowledgments

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2019R1A5A808320111).

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Authors and Affiliations

  1. School of Mechanical Engineering, Changwon National University, Changwon, Korea

    Yong Gap Park

  2. School of Mechanical Engineering, Pusan National University, Busan, Korea

    Hyun Woo Cho & Man Yeong Ha

  3. Department of Naval Architecture and Offshore Engineering, Dong-A University, Busan, Korea

    Gi Su Mun

Authors
  1. Yong Gap Park
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  2. Hyun Woo Cho
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  3. Gi Su Mun
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  4. Man Yeong Ha
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Corresponding author

Correspondence to Man Yeong Ha.

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Recommended by Editor Yong Tae Kang

Yong Gap Park had his undergraduate degree from Pusan National University, South Korea in 2008, his Ph.D. degree from Pusan National University, Korea in 2014. Dr. Park is currently a Professor at the School of Mechanical Engineering at Changwon National University in Changwon, S. Korea. His research interests are focused on natural convection, heat exchanger and computational fluid dynamics.

Hyun Woo Cho had his undergraduate degree from Pusan National University, South Korea in 2012, and his Master degree from Pusan National University, South Korea in 2014. He started attending Pusan National University for the Ph.D. program under the supervision of Professor Man Yeong Ha. His research interests are focused on numerical simulation on mixed convection.

Man Yeong Ha had his undergraduate degree from Pusan National University, South Korea in 1981, his Master degree from Korea Advanced Institute of Science and Technology, S. Korea in 1983, and his Ph.D. degree from Pennsylvania State University, USA in 1990. Dr. Ha is currently a Professor at the School of Mechanical Engineering at Pusan National University in Busan, S. Korea. His research interests are focused on thermal heat management, computational fluid dynamics, and finite volume method using hybrid scheme.

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Park, Y.G., Cho, H.W., Mun, G.S. et al. Effect of the aspect ratio of an elliptical cylinder on mixed convective heat transfer within a lid-driven enclosure. J Mech Sci Technol 34, 3057–3068 (2020). https://doi.org/10.1007/s12206-020-0637-y

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  • DOI: https://doi.org/10.1007/s12206-020-0637-y

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