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Dependence of $\phi $ against $\Pr \&Le.$

Dependence of $\phi $ against $\Pr \&Le.$

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Nanofluids play a vital role in the improvement of our practical life. The potential usage of nanomaterials in different applications such as oil recovery, refrigeration systems, a freeze of electrical components in computers, development of liquid displays, cooling spirals, mechanical engineering, electrical engineering, heat storage devices and b...

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... Umadevi et al. [28] explored blood rheology in the existence of a magnetic field on an oblique stenosed artery adopting copper nanoparticles. Few noteworthy relevant studies on the topic under investigation can be found in the references [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] and several others. ...
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Nanoparticles play an essential role in biomedical applications. A most promising area in nanomedicine is drug targeting which is done with the aid of magnetized nanoparticles. In this study, the hemodynamics of hybrid nanofluid flow with gold and copper nanoparticles suspended in it is investigated. This research primarily focuses on magnetic drug delivery which is propagated through a tapered stenosed artery under three situations, including converging, diverging, and non-tapering arteries. To explore the rheological characteristics of blood, a Sutterby fluid, which is a non-Newtonian fluid, is postulated. The energy equation also incorporates the effects of the magnetic field and joule heating, as well as the viscous dissipation function. Lubrication theory provides a mathematical framework for model formulation. The hypothesized modeling is simplified to a set of nonlinear differential equations that are then solved using a perturbation method up to the second order of approximation. Graphs are used to describe the outcomes of different evolving parameters. The Sutterby fluid parameter opposes the flow negligibly, whereas the Hartmann number and thermal Grashof number strengthen the flow field. Copper nanoparticles (in the absence of gold nanoparticles) are observed to deplete the thermal profile substantially more than gold nanoparticles. Nevertheless, the thermal profile is enhanced by the presence of both nanoparticles (hybrid nanofluids). For greater values of the Sutterby fluid parameter, the wall shear stress has been observed to rise considerably, whereas the inverse is true for the Hartmann number and the thermal Grashof number. The present results have been improved to give significant information for biomedical scientists who are striving to study blood flow in stenosis situations, as well as for those who will find the knowledge valuable in the treatment of different diseases.
... Other efforts can be located in Refs. [29,[33][34][35][36]. Understanding the possessions of nanofluids, in particular, the non-Newtonian hybrid nanofluid (NHNF) as a thermal conductivity [37], a viscosity [38], and definite heat [39], is actually significant for the application of NFs in numerous presentations [40,41]. ...
... Using Eqs. (30)- (35), the obtained tridiagonal-block matrix is as follows: ...
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To cite this article: Syed M. Hussain (2022): Irreversibility analysis of time-dependent magnetically driven flow of Sutterby hybrid nanofluid: a thermal mathematical model, Waves in Random and Complex Media, ABSTRACT As hybrid nanofluids have dispersion and diffusion abilities along with greater stability on the surface compared with the conventional fluids, they are introduced as heat transfer fluids. In the present analysis, investigations are made on flow, volumetric entropy formation and convection heat transmission in Sutterby hybrid nanofluid (SBHNF). Keeping slip velocity on the interface of horizontal uniform permeable stretching surface, hybrid nanofluid takes the space on it. Viscous dissipation along with the impact of linearized thermal radiation is employed in a disentangle model. Assumptions about boundary layer SBHNF flow are interpreted for simplification of governing equations regarding conservation of momentum, mass, entropy, and energy. Similarity variables are employed for the similarity solutions for the change of governing partial differential equations to ordinary differential equations (ODEs). Suitable solutions for the reduced ODEs are found with the implementation of the Keller-box method. Ordinary copper-sodium alginate (Cu-SA) nanofluid and Zirconium dioxide-copper/sodium alginate (ZrO 2-Cu/SA) hybrid nanofluid are utilized for numerical and computational results. The influence of governing factors is studied with the help of plots about temperature, velocity, and entropy. The parameter of skin friction along with the local Nusselt number is examined at the boundary. ARTICLE HISTORY
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The diluted suspension of nanoparticles in base liquids has been found in extensive applications in various industrial processes like nanomedicines, cooling of microsystems, and energy conversion. The idea of tri-hybrid nanofluid have been developed which shows the impact of three nanoparticles at the same time in a single fluid. This newly developed tri-hybrid mixture model getting more attention and performed better than hybrid and nanofluid. Owing to its important applications an attempt has made in this article to investigate the Casson ternary hybrid nanofluids flow along a stretching cylinder through porous medium subject to the influence of microorganism in the modeled equations. The strength of magnetic field has employed in upward direction of the flow system, and Activation Energy effect is addressed. The main equations of fluid motion have been converted to dimensionless format using set of suitable variables. In this work it has noticed that, growth in permeability parameter, Casson and magnetic factors result in more resistive force to fluid motion that declines the velocity characteristics. Moreover, the temperature distribution has grown up while the concentration characteristics have declined with growing values of Brownian factor. Furthermore, microorganism characteristics decay with growth in bio-convection Lewis and Peclet numbers. The impact of these parameters upon heat, mass and motile transfer rates has been evaluated in the tabular form.