Hydrodynamical characterization of nanofluidic flow driven by forced convection via a four-sided lid-driven cavity

doi:10.1007/s10483-025-3271-6

Abstract

Abstract:

The unsteady magnetohydrodynamical (MHD) free convection flow of an incompressible, electrically conducting hybrid nanofluid within a vertical cylindrical geometry is investigated, incorporating the effects of thermal radiation, viscous dissipation, and internal heat generation. The system is subjected to a time-periodic boundary temperature condition. The Laplace and finite Hankel transforms are used to derive the exact solutions for the velocity and temperature distributions. The effects of various key physical parameters, including the Richardson number, the Eckert number, the radiation parameter, the heat source parameter, and the nanoparticle volume fraction, are considered. The numerical results reveal that increasing the volume fraction significantly enhances the thermal conductivity and temperature, while the magnetic field intensity and viscous dissipation strongly influence the fluid motion and heat transport. Additionally, the pulsating boundary conditions produce distinct oscillatory behaviors in both the velocity and temperature fields. These findings provide important insights into optimizing the heat transfer performance in cylindrical systems such as electronic cooling modules and energy storage devices operating under dynamic thermal conditions.

Key words: forced convection, lid-driven cavity, streamline, finite element method (FEM)

2010 MSC Number:

O361

M. USMAN, M. HAMID, W. A. KHAN, R. U. HAQ. Hydrodynamical characterization of nanofluidic flow driven by forced convection via a four-sided lid-driven cavity. Applied Mathematics and Mechanics (English Edition), 2025, 46(7): 1383-1402.

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Table 1

Behavior of the average Nusselt number against the variation of different physical parameters"

$D a$	$R e$	$ϕ$	$N u avg$
10^-4	250	0	0.988 88
10⁰	250	0	1.077 23
10³	250	0	1.090 07
$− 10$	10¹	0	0.268 35
$− 10$	10²	0	0.752 36
$− 10$	10³	0	2.047 59
$− 10$	500	0	1.614 83
$− 10$	500	0.1	1.548 78
$− 10$	500	0.2	1.320 99

Table 1

References 20

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