Direct Numerical Simulation of Laminar Natural Convection in a Square Cavity at Different Inclination Angle

Mohammad Ilias Inam

doi:10.38032/jea.2020.01.005

Authors

Mohammad Ilias Inam Department of Mechanical Engineering, Khulna University of Engineering & Technology, Khulna 9203, Bangladesh

DOI:

https://doi.org/10.38032/jea.2020.01.005

Keywords:

Natural Convection, Inclination Angle, Nusselt Number

Abstract

The effect of angle of rotation on laminar natural convection inside the square cavity have been observed in this research. It was assumed that left and right walls heated isothermally, whereas other two walls act as adiabatic. This problem was solved by assuming 2-D and by Direct Numerical Simulation (DNS) method using ANSYS Fluent 16.0. A series of DNS simulation were carried out for different inclination angle () of the cavity at Ra = 10³ & 10⁴. It was observed that at average Nusselt number increase up to some value of angle of inclination after that it decrease though this variation is not significant.

References

Wilkes JO, Churchill SW. The finite‐difference computation of natural convection in a rectangular enclosure. AIChE Journal. 1966 Jan;12(1):161-6.

de Vahl Davis G. Laminar natural convection in an enclosed rectangular cavity. International Journal of Heat and Mass Transfer. 1968 Nov 1;11(11):1675-93.

Das D, Roy M, Basak T. Studies on natural convection within enclosures of various (non-square) shapes–A review. International Journal of Heat and Mass Transfer. 2017 Mar 1;106:356-406.

Townsend AA. The structure of turbulent shear flow. Cambridge university press; 1980 Mar 6.

Lesieur M. Turbulence in fluids: stochastic and numerical modelling. Boston, MA: Nijhoff; 1987 Jan 1.

Foias C, Manley O, Rosa R, Temam R. Navier-Stokes equations and turbulence. Cambridge University Press; 2001 Aug 27.

Sharif MA, Liu W. Numerical study of turbulent natural convection in a side-heated square cavityat various angles of inclination. Numerical Heat Transfer: Part A: Applications. 2003 May 1;43(7):693-716.