The aim of this paper is to study the different shapes of nanoparticles on mixed convective steady flow over a rotating disk. For nanofluid, the copper nanoparticles of disk, cylindrical, and spherical shapes of different sizes and water as base fluid are considered. The physical problem is first modeled and then the governing equations are transformed into nonlinear ordinary differential equations. These equations are dimensionless using geometrical and physical flowfielddependent parameters and solved analytically. A very good agreement is observed between the obtained results of the current study and previously published study in limiting cases. The shape effects on velocity profiles in radial, tangential, axial directions, and temperature distribution are displayed graphically with the reflection of specific range of nanolayer thickness and its conductivity. In addition, irreversibility due to heat and fluid friction is investigated that supports the heat transfer enhancement in renewable energy systems and industrial thermal management. For the analysis of the averaged entropy generation number, the results are shown in pie charts and tablet form. It is evident from the study that proper choice of nanoparticles will be helpful in controlling velocity and heat transfer. It is also observed that irreversibility process can be reduced by using nanoparticles, especially the spherical particles.
This study discusses Hall and ion-slip effects in 3D heat transfer in micropolar plasma. The solution of modeled hydrodynamic boundary value problems are computed by Galerkin finite element method (GFEM). Simulations for velocity, angular velocity and temperature are carried out. Momentum and thermal boundary thickness are greatly affected by Hall and ion currents. Magnitude of angular velocity has increasing behavior when micropolar parameter increased. In view of the results obtained from the present investigation, it is recommended to use micro-polar plasma like blood and plasma polymers if Joule heating dissipations are required. Micro-rotation due to the solid structure in micropolar increases when vortex viscosity is increased.
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The magnetohydrodynamic (MHD) flow of the third grade fluid between two permeable disks with heat transfer is investigated. The governing partial differential equations are converted into the ordinary differential equations by suitable transformations. The transformed equations are solved by the homotopy analysis method (HAM). The expressions for square residual errors are defined, and the optimal values of convergencecontrol parameters are selected. The dimensionless velocity and temperature fields are examined for various dimensionless parameters. The skin friction coefficient and the Nusselt number are tabulated to analyze the effects of dimensionless parameters.
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