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Transient mixed convection in an enclosure driven by a sliding lid

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Abstract

Transient convection of an incompressible viscous fluid in a square cavity is investigated. The temperature at the top lid is higher than that at the bottom wall, producing a stably stratified overall configuration. The vertical sidewalls are insulated. Flow is initiated by an impulsive start of the sliding motion of the top lid. The transient features of the mixed convection are delineated by procuring numerical solutions in a wide range of parameters, i.e., 400≤Re≤4,000, 1.6×105≤Gr≤1.6×107. Flows and heat transfer characteristics are described both in the interior core and boundary-layer regions. In the large-time limit, the steady state features are depicted. Parallel experimental efforts are made by employing the particle image velocimetry (PIV) to visualize the steady state flow and thermal fields, together with thermocouple measurements.

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Abbreviations

A :

Aspect ratio=H/L

g :

Gravitational acceleration (9.81 m/s2)

Gr :

Grashof number (gβΔTH 3/ν 2)

H :

Height of cavity (m)

L :

Width of cavity (m)

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

Averaged Nusselt number (Eq. 11)

Pr :

Prandtl number (ν/α)

Re :

Reynolds number (U o H/ν)

Ri :

Richardson number (Gr/Re 2)

t :

Time (s)

T B :

Temperature of the top wall (K)

T T :

Temperature of the bottom wall (K)

U o :

Speed of cavity lid (m/s)

u, v :

Velocities in x and y direction (m/s)

U, V :

Dimensionless velocities

x, y :

Coordinates (m)

X, Y :

Dimensionless coordinates

α :

Thermal diffusivity (m2/s)

β :

Thermal expansion coefficient (1/K)

ν :

Kinematic viscosity (m2/s)

τ :

Dimensionless time (tU o/H)

ΔT :

Temperature difference between top and bottom wall (T T−T B, K)

θ :

Dimensionless temperature ((T−T B)/ΔT)

T:

Top wall

B:

Bottom wall

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Authors and Affiliations

  1. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusong-gu, 305-701, Daejon, South Korea

    Tae Ho Ji

  2. Thermal/Flow Control Research Center, Korea Institute of Science and Technology, Cheongryang, P.O. Box 131, 130-650, Seoul, South Korea

    Seo Young Kim

  3. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusong-gu, 305-701, Daejon, South Korea

    Jae Min Hyun

Authors
  1. Tae Ho Ji
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  2. Seo Young Kim
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Correspondence to Seo Young Kim.

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Ji, T.H., Kim, S.Y. & Hyun, J.M. Transient mixed convection in an enclosure driven by a sliding lid. Heat Mass Transfer 43, 629–638 (2007). https://doi.org/10.1007/s00231-006-0113-y

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  • DOI: https://doi.org/10.1007/s00231-006-0113-y

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