Abstract
In this study, conjugate natural convection in a square cavity filled with fluids under steady-state condition is numerically investigated with the finite element method. The left side wall is considered as hot wall, and the right wall is considered to be cold. The top and bottom walls are assumed to be adiabatic. Different boundary conditions are introduced on the walls, and a thorough investigation is done in the present study. Numerical simulations have been done for different parameters of Grashof number (103–107) and Prandtl number. The graph of Nusselt number versus Grashof number and Nusselt number versus Prandtl number is plotted. It is observed that the buoyant forces developed in the cavity due to thermally induced density gradients vary as the value of acceleration due to gravity (g) differs, due to the change in temperature and stream function.
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Abbreviations
- AR :
-
aspect ratio (H/L)
- g:
-
acceleration due to gravity (m s−2)
- H :
-
height of square cavity (m)
- K :
-
thermal conductivity (W m−1 K−1)
- L :
-
length of the square cavity (m)
- Nu :
-
local Nusselt number
- P :
-
dimensional pressure (Pa)
- Pr :
-
Prandtl number
- Ra :
-
Rayleigh number
- T :
-
temperature(K)
- U :
-
x-component of velocity (m s−1)
- V :
-
y-component of velocity (m s−1)
- α :
-
thermal diffusivity (m2 s−1)
- β :
-
volume expansion coefficient (K−1)
- ρ :
-
density (kg m−3)
- Ψ :
-
stream function (m2 s−1)
- b :
-
bottom wall
- s :
-
side wall
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Yaksha, S.J., Akash, E., Sanjay, U., Seetharamu, K.N., Babali, B. (2021). Study of Natural Convection Heat Transfer in a Closed Wall with Thermal Conditions. In: Sikarwar, B.S., Sundén, B., Wang, Q. (eds) Advances in Fluid and Thermal Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-0159-0_24
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DOI: https://doi.org/10.1007/978-981-16-0159-0_24
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