Effect of near-wall blockage on the magnetohydrodynamics-based double-diffusive convection in rectangular cavities

Kumar, Sudhanshu; Gangawane, Krunal M.; Oztop, Hakan F.; Panda, Sibasish

doi:10.1080/10407782.2023.2262112

Cited by 2 publications

(1 citation statement)

References 65 publications

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“…Sivasankaran et al 30 used a finite volume method to numerically explore MHD mixed convection flow with heat transfer in a top-sided lid-driven square enclosure subjected to a sinusoidal temperature at the cavity's left wall for various Richardson numbers and Hartmann numbers. The MHD double-diffusive convection features for the steady-state, Newtonian, incompressible, and laminar fluid flow around the near-wall blockage for different separation distances in a rectangular cavity have been studied by Sudhanshu Kumar et al 31 using the LBM solver. Uddin et al 4 investigated an unstable double-diffusive mixed convective flow in a trapezoidal cavity with a continuous magnetic field influence in the negative horizontal plane using Galerkin-Weighted-Residual Methodology, an FEM.…”

Section: Introductionmentioning

confidence: 99%

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Patel,

Kumar,

Bagai

2024

Heat Trans

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This paper investigates the heat and mass transfer under magnetohydrodynamic mixed convection flow of a binary gas mixture in a four‐sided lid‐driven square cavity. The enclosure's left wall is sinusoidally heated and acts as a source term, while the right wall functions as a sink. The cavity's horizontal walls are adiabatic and impermeable to mass transfer. The governing equations under Boussinesq approximation and stream function‐vorticity formulation are solved using the alternating‐direction‐implicit scheme, a finite‐difference method. The numerical scheme's consistency and stability are demonstrated using the matrix method. The MATLAB code is written, validated against some existing studies, and used to perform numerical simulations. The numerical solutions are graphically examined by visualizing the streamline, isotherm, and concentration contours for nondimensional parameters, such as Hartmann number , heat absorption or generation coefficient , Richardson number , and buoyancy ratio . The magnetic field modifies the temperature and concentration distribution in the cavity, depending on the convection mode. The magnetic field forces the fluid to stagnate in different regions of the cavity, depending on the mode of convection. It was found that the difference between the maximum and minimum temperature and concentration at the cavity's midpoint increases up to 13 and 10 times, respectively, in the natural convection compared with the forced convection. The average Nusselt number on the vertical walls of the cavity is maximum in natural convection in the absence of a magnetic field but reaches a minimum value at in forced and mixed convection. The average Sherwood number on the cavity's vertical walls decreases with the magnetic field in mixed and natural convection.

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Section: Introductionmentioning

confidence: 99%

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Patel,

Kumar,

Bagai

2024

Heat Trans

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Influence of location of twin-adiabatic blocks on magnetohydrodynamics-based double-diffusive convection and entropy generation for a liquid metal

Karki,

Gangawane

2024

Physics of Fluids

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This research deals with a rectangular cavity encompassing two adiabatic rectangular and impermeable obstacles at various positions. This study serves as a platform to explore the interplay between diverse flow-governing parameters, such as the buoyancy ratio (N = −1, 0, and +1), Hartmann number (Ha = 0, 50, and 100), Lewis number (Le = 1, 5, and 10), Rayleigh number (Ra = 103 and 104), and geometric arrangements of twin-blocks (C1, C2, and C3) to help in developing insights into such complex transport phenomenon driven under the influence of buoyancy and concentration. The arrangements are chosen such that C1 and C3 represent the off-center position of the first obstacle, while C2 represents the in-line position with the second obstacle. The influence of liquid sodium–potassium alloy (Pr = 0.054) on fluid flow, heat, and mass transfer, and entropy generation characteristics due to double-diffusive natural convection in the twin obstacle-filled rectangular enclosure are observed using the lattice Boltzmann method. The results reveal that the maximum amount of heat and mass transfer occurs at the C2 position, making it the most efficient for heat and mass transfer among all. In contrast, the C2 configuration is a thermodynamically inefficient arrangement as entropy generation is maximum, while the C3 configuration is obtained to be more efficient thermodynamically. Furthermore, the results reveal that the average total entropy generation is directly related to the Lewis number, while it has an inverse relation with the Hartmann number.

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Effect of near-wall blockage on the magnetohydrodynamics-based double-diffusive convection in rectangular cavities

Cited by 2 publications

References 65 publications

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Influence of location of twin-adiabatic blocks on magnetohydrodynamics-based double-diffusive convection and entropy generation for a liquid metal

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