TY - JOUR AB - Purpose 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.Design/methodology/approach 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.Findings 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.Originality/value 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. VL - 27 IS - 6 SN - 0961-5539 DO - 10.1108/HFF-11-2015-0488 UR - https://doi.org/10.1108/HFF-11-2015-0488 AU - Alsabery Ammar I. AU - Hashim Ishak AU - Chamkha Ali J. AU - Saleh Habibis AU - Chanane Bilal PY - 2017 Y1 - 2017/01/01 TI - Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity T2 - International Journal of Numerical Methods for Heat & Fluid Flow PB - Emerald Publishing Limited SP - 1365 EP - 1384 Y2 - 2024/05/11 ER -