This paper aims to study analytically and numerically the problem of transient natural convection heat transfer in a trapezoidal cavity with spatial side-wall temperature variation.
The governing equations subject to the initial and boundary conditions are solved numerically by the finite difference scheme consisting of the alternating direction implicit method and the tri-diagonal matrix algorithm. The left sloping wall of the cavity is heated to non-uniform temperature, and the right sloping wall is maintained at a constant cold temperature, while the horizontal walls are kept adiabatic.
It is shown that the heat transfer rate increases in non-uniform heating increments, whereby low wave number values are more affected by the convection. The best heat transfer enhancement results from larger side wall inclination angle; however, trapezoidal cavities require longer time compared to that of square to reach steady state.
The study of natural convection heat transfer in a trapezoidal cavity filled with nanofluid and heated by spatial side-wall temperature has not yet been undertaken. Thus, the authors of the present study believe that this work is valuable.
The authors are grateful to the anonymous referees for the comments which improved the quality of the paper. The work was supported by the Ministry of Higher Education, Malaysia grant GSP/1/2015/SG04/UKM/01/1.
Alsabery, A.I., Hashim, I., Chamkha, A.J., Saleh, H. and Chanane, B. (2017), "Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 6, pp. 1365-1384. https://doi.org/10.1108/HFF-11-2015-0488
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