Functional shape effects of nanoparticles on nanofluid suspended in ethylene glycol through Mittage-Leffler approach

Abstract

It is fundamental fact that nanoparticles are strong function of their shapes and sizes; this is because nanoparticles certainly play an adhesive and a significant role in fluid phenomenon. This manuscript investigates the functionality and thermodynamics of different nanoparticles namely gold, alumina, silver and copper suspended in ethylene glycol considered as a base fluid. The problem of mixed convection is modeled by modern fractional derivative by invoking initial and boundary conditions. The analytic calculation of velocity field and temperature distribution is obtained by employing Laplace transforms then transformed into Fox-H function. The effects of critical physical characteristics (sizes and shapes) have been analyzed through velocity field and temperature distribution using different nanoparticles. Obviously, all nanoparticles are not made equal in terms of sizes and shapes; hence a remarkable comparison of different nanoparticles is analyzed for the interactions with their sizes and shapes on the velocity field and temperature distribution. Importantly, we seek to illustrate the shape and size impacts of nanoparticles namely platelet, blade, cylinder and brick on velocity field and temperature distribution. In short, our results suggest that E G − A u moves more rapidly in comparison with E G − A l 2 0 3 , E G − A g and E G − C u at larger time while E G − C u moves faster in comparison with E G − A l 2 0 3 , E G − A g and E G − A u for smaller time. The identical similarities and differences have also been analyzed on the basis of shape and size impacts of nanoparticles.

Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach

“…where b = 1 1−α and C = s + bα. The velocity distribution for Maxwell fluid can be deduced by implementing λ 2 → 0 and assigning the value of F(s) = 1 s−a in Equation ( 31) the same expression for velocity field is recovered as derived by Imran et al [29].…”

“…Finite Fourier sine transform, Laplace, and fractional techniques have been utilized to the governing equations for exhibiting typical and rheological properties of the problem. Although the studies on heat and transfer analysis can be continue yet the relevant studies can be observed therein in categorical format as heat transfer via analytical approaches [16][17][18][19][20][21][22][23], heat transfer via numerical approaches [24][25][26][27][28][29], heat transfer via fractional calculus approaches [30][31][32][33], and heat transfer via multi-dimensional approaches [34][35][36][37]. Motivating by the above consideration, the main theme of this manuscript is to have the significance of convective heating and variable heat source on Azimuthal oscillatory MHD convective flows developed in a cylindrical Darcy-Forchheimer porous medium filled by a radiating second-grade fluid.…”

Nanoparticle Shape Effect on a Sodium–Alginate Based Cu–Nanofluid under a Transverse Magnetic Field

“…Sodium alginate natural convection based Fe 2 O 3 -nanofluid with accretion/ ablation was illustrated by Hussanan et al [34]. The mixed convection ethylene glycol based nanofluids flow, together with the functional shape effects of nanoparticles was investigated by Memon et al [35]. Hussanan et al [36] highlighted the impacts of magnetic and non-magnetic nanoparticles on viscoplastic Casson-based mixture hybrid nanofluid.…”

Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration

“…A finite Fourier sine transform, Laplace and fractional techniques were applied to the governing equations to show the typical and rheological properties of the problem. Although the studies on heat and transfer analysis will be continued the relevant studies can be observed therein in categorical format as: heat transfer via analytical approaches [16,17,[29][30][31][32], heat transfer via numerical approaches [18,19,[33][34][35][36], heat transfer via fractional calculus approaches [20,21,37,38] and heat transfer via multidimensional approaches [22,23,25,26,39,40]. Motivated by the above consideration, the main theme of this paper is to assess the significance of convective heating and variable heat source on the azimuthal oscilatroy MHD convective flows developed in a cylindrical Darcy-Forchheimer porous medium filled by a radiating second-grade fluid.…”