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Laminar Natural Convection for Thermally Active Partial Side Walls in a Right-Angled Triangular Cavity

  • Research Article - Mechanical Engineering
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Abstract

The effect of partial heating and cooling on laminar natural convective heat transfer in right-angle triangular cavity filled with water has been investigated numerically. The triangular cavity is presented in nine different configurations namely Left-Bottom, Left-Middle, Left-Top, Middle-Bottom, Middle-Middle, Middle-Top, Right-Bottom, Right-Middle and Right-Top and the length of the thermally active wall is b = L/3. The base wall is considered as partially hot while the side wall as partially cold. Two-dimensional steady-state continuity, Navier–Stokes and energy equations along with the Boussinesq approximation are solved using the finite volume method. The Rayleigh number is varied from 105 to 107. Results revealed that the heat transfer rate is high for LB walls whereas low for RT location. Also, the heat transfer rate enhancement is observed for all values of Rayleigh number.

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Abbreviations

g :

Acceleration due to gravity (m s−2)

H :

Height of the cavity (m)

L :

Width of the cavity (m)

b :

Length of the thermally active wall (m)

p :

Pressure (KPa)

P :

Dimensionless pressure

u, v :

Velocity components (ms−1)

U, V :

Dimensionless velocity component

x, y :

Co-ordinates

X, Y :

Dimensionless co-ordinates

T :

Temperature (K)

T h :

Hot wall temperature (K)

T c :

Cold wall temperature (K)

Pr :

Prandtl number

Ra :

Rayleigh number

Nu x :

Local Nusselt number

Nu :

Average Nusselt number

α :

Thermal diffusivity (m2s)

β :

Thermal expansion coefficient (K−1)

θ :

Dimensionless temperature

k :

Thermal conductivity (Wm−1 K−1)

ρ :

Density (kg m−3)

μ :

Dynamic viscosity (Ns m−2)

υ :

Kinematic viscosity (m2 s)

ψ :

Stream function (s−1)

Ψ:

Dimensionless stream function

h:

Hot wall

c:

Cold wall

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Authors and Affiliations

  1. Mechanical Engineering Department, National Institute of Technology, Agartala, India

    Manoj K. Triveni, Dipak Sen & Rajsekhar Panua

Authors
  1. Manoj K. Triveni
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  2. Dipak Sen
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  3. Rajsekhar Panua
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Correspondence to Manoj K. Triveni.

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Triveni, M.K., Sen, D. & Panua, R. Laminar Natural Convection for Thermally Active Partial Side Walls in a Right-Angled Triangular Cavity. Arab J Sci Eng 39, 9025–9038 (2014). https://doi.org/10.1007/s13369-014-1418-7

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  • DOI: https://doi.org/10.1007/s13369-014-1418-7

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