Hydromagnetic Mixed Convective Transport in a Nonisothermally Heated Lid-Driven Square Enclosure Including a Heat-Conducting Circular Cylinder

Abstract

A two-dimensional numerical study is performed in an effort to understand the fundamental characteristics of hydromagnetic mixed convective transport in a nonisothermally heated vertical lid-driven square enclosure filled with an electrically conducting fluid in the presence of a heat-conducting solid circular cylinder. Additionally, entropy generation due to heat transfer, fluid friction, and magnetic effect is also determined. Simulations are performed for various controlling parameters such as the Richardson number (1 ≤ Ri ≤ 10), Hartmann number (0 ≤ Ha ≤ 50), Prandtl number (0.02 ≤ Pr ≤ 7), Reynolds number based on the lid velocity (Re = 100, 150, and 200), and amplitude of the sinusoidal function (A = 0.25, 0.5, and 1), keeping the solid−fluid thermal conductivity ratio fixed as K = 5. The flow and thermal fields are analyzed through streamline and isotherm plots for various Ha, Ri, Re, and Pr. Furthermore, the drag coefficient on the moving lid and Nusselt numbers on heated surfaces are also computed to understand the effects of Ha, Ri, Re, Pr, and n on them. It is observed that the drag on the moving lid decreases with Re and increases with Ri and Ha, however, remains insensitive with Pr. The heat-transfer rate from the hot right wall increases as usual with Re, Pr, and Ri but decreases with Ha. The sinusoidally heated bottom wall shows a decrease in the heat-transfer rate with increasing Pr, and at higher Pr, it also decreases with Re. Furthermore, increasing magnetic field strength causes an increase in the heat-transfer rate from the bottom wall. It also decreases with decreasing value of the amplitude of the sinusoidal function.

Computational study of thermal buoyancy from two confined cylinders within a square enclosure wifth single inlet and outlet ports

“…Theoretical analysis of transport phenomena in a fluid medium and thermal flows around these cylinders may provide vibrant information about mechanical quantities such as drag coefficient, recirculation zones, steady vortex, Nusselt number, and so on, which will enhance the system design and new product development. Several authors 1‐10 have examined the mixed convection and flow patterns through a square cavity under a wide range of physical situations. Darzi et al 1 used a Lattice Boltzmann approach to study the numerical problem of mixed convection and thermal activity past two circular objects within the enclosure of square cavity.…”

“…It was demonstrated that the heat transfer effectiveness is proportional to Reynolds number whenever Re < 460 and independent of the gap between the cylinders. The impact of the external force of electromagnetic on mixed convection of geometrical system consists mainly of the vertical lid‐driven square cavity, and confined obstacle was studied by Chatterjee and Gupta 6 . Their simulations showed that the average ( Nu ) is greatly affected by thermal behavior over hot and cold cylinders embedded in a square cavity.…”

Upward Flow and Heat Transfer Around Two Heated Circular Cylinders in Square Duct Under Aiding Thermal Buoyancy

“…It was found that when Re was less than 460, the effect of space between cylinders was found to be nearly negligible. (Chatterjee and Gupta 2014) carried out in two-dimensional simulations the effect of hydromagnetic mixed convective transport in a nonisothermally heated vertical lid-driven square enclosure filled with an electrically conducting fluid in the presence of a heat-conducting solid circular cylinder. (Park et al 2012) studied natural convection inside square enclosure with hot and cold cylinders.…”

Magnetohydrodynamic mixed convection in a lid-driven rectangular enclosure partially heated at the bottom and cooled at the top

“…Re cently, Chatterjee and Gupta [13] aim here to nu mer i cally an a lyze the hydromagnetic mixed con vec tion flow and heat trans fer along with en tropy gen er a tion in a verti cal lid-driven square en clo sure in volv ing a heat-con duct ing hor i zon tal solid cir cu lar cyl in der placed cen trally within the en clo sure. Selimefendigil and Oztop [14] a nu mer i cal study of MHD mixed con vec tion in a nanofluid filled lid-driven en clo sure with a ro tat ing cyl in der was performed.…”