Transient Buoyancy- Driven Laminar Convection in an Inclined Three- Dimensional Trapezoidal Enclosure.

  View PDF

  Download PDF

  Ahmed Kadhim Hussein   |      Kolsi Lioua   |      Hussain H. Al-Kayiem   |   

doi: https://doi.org/10.33971/bjes.14.2.22

Numerical analysis of transient laminar threedimensional buoyancy-driven convection in an inclined three-dimensional trapezoidal air-filled enclosure was investigated in this paper. The right and left sidewalls of the enclosure are kept at constant cold temperatures. The bottom wall is maintained at a constant hot temperature, while the top wall is considered adiabatic. A numerical investigation is performed for Rayleigh numbers varied as 103 ≤ Ra ≤ 105, while the trapezoidal enclosure inclination angle is varied as 0° ≤ fi ≤ 180°. Prandtl number is considered constant at Pr = 0.71. Flow and thermal fields are presented in both two and three-dimensional patterns. Also, both local and average Nusselt numbers are calculated and discussed. The results show that when the Rayleigh number increases, the flow patterns are changed especially in three-dimensional results, and the flow circulation increases. The minimum average Nusselt number inside the trapezoidal cavity corresponds to the highest inclination angle [i.e., fi = 180]. While the average Nusselt number reaches its maximum value at fi = 30. Moreover, when the Rayleigh number increases the average Nusselt number increases as expected.