Abstract:The goal of the current analysis is to scrutinize the magneto-mixed convective flow of aqueous-based hybrid-nanofluid comprising Alumina and Copper nanoparticles across a horizontal circular cylinder with convective boundary condition. The energy equation is modelled by interpolating the non-linear radiation phenomenon with the assisting and opposing flows. The original equations describing the magneto-hybrid nanofluid motion and energy are converted into non-dimensional equations and solved numerically using … Show more
“…The partial differential equations (PDE) system ( 7)-( 10) has a multi-scale solution behavior over an infinite interval where the solution varies quickly over the boundary layer and away from this layer the solution varies slowly and behaves regularly and that is according to the time constants of the solution components. Moreover, the PDE system (7)-( 10) is very sensitive to the initial conditions due to the singularity associated with the highest derivative-term in the system and hence more accurate and efficient adaptive methods are required for solving this class of PDE systems [5,[27][28][29][30][31][32]. System ( 7)-( 10) is converted into a first-order PDE system and discretized using a fourth-order finite difference method in η-orientation and a two-point backward finite difference method [28] in τ-orientation.…”
The goal of this investigation is to explore the influence of viscous dissipation and Brownian motion on Jeffrey nanofluid flow over an unsteady moving surface with thermophoresis and mixed convection. Zero mass flux is also addressed at the surface such that the nanoparticles fraction of maintains itself on huge obstruction. An aiding transformation is adopted to renovate the governing equations into a set of partial differential equations which is solved using a new fourth-order finite difference continuation method and various graphical outcomes are discussed in detail with several employed parameters. The spectacular influence of pertinent constraints on velocity and thermal curves are inspected through various plots. Computational data for the heat transfer rate and skin-friction coefficient are also reported graphically. Graphical outcomes indicate that an augmentation in buoyance ratio and thermophoretic parameter leads to diminish the velocity curves and increase the temperature curves. Furthermore, it is inspected that escalating Deborah number exhibits increasing in the skin friction and salient decreasing heat transmission. Increasing magnetic strength leads to a reduction in the skin friction and enhancement in the Nusselt number, whilst a reverse reaction is manifested with mixed convection aspects.
“…The partial differential equations (PDE) system ( 7)-( 10) has a multi-scale solution behavior over an infinite interval where the solution varies quickly over the boundary layer and away from this layer the solution varies slowly and behaves regularly and that is according to the time constants of the solution components. Moreover, the PDE system (7)-( 10) is very sensitive to the initial conditions due to the singularity associated with the highest derivative-term in the system and hence more accurate and efficient adaptive methods are required for solving this class of PDE systems [5,[27][28][29][30][31][32]. System ( 7)-( 10) is converted into a first-order PDE system and discretized using a fourth-order finite difference method in η-orientation and a two-point backward finite difference method [28] in τ-orientation.…”
The goal of this investigation is to explore the influence of viscous dissipation and Brownian motion on Jeffrey nanofluid flow over an unsteady moving surface with thermophoresis and mixed convection. Zero mass flux is also addressed at the surface such that the nanoparticles fraction of maintains itself on huge obstruction. An aiding transformation is adopted to renovate the governing equations into a set of partial differential equations which is solved using a new fourth-order finite difference continuation method and various graphical outcomes are discussed in detail with several employed parameters. The spectacular influence of pertinent constraints on velocity and thermal curves are inspected through various plots. Computational data for the heat transfer rate and skin-friction coefficient are also reported graphically. Graphical outcomes indicate that an augmentation in buoyance ratio and thermophoretic parameter leads to diminish the velocity curves and increase the temperature curves. Furthermore, it is inspected that escalating Deborah number exhibits increasing in the skin friction and salient decreasing heat transmission. Increasing magnetic strength leads to a reduction in the skin friction and enhancement in the Nusselt number, whilst a reverse reaction is manifested with mixed convection aspects.
“…Jakeer et al [30] discussed magneto Cu-Al 2 O 3 /water hybrid nanofluid flow in a non-Darcy porous square cavity and found that the Cu-Al2O3/water nanofluid provides a higher heat transfer. MHD convective flow of water-based hybrid-nanofluid containing Alumina and Copper nanoparticles through a horizontal circular cylinder was studied by Zahar et al [31]. Futhermore, Ghalambaz et al [32] investigated nano encapsulated phase change material in a glass ball porous medium, where the nanoparticles comprise of PCM core (nonadecane) and a shell (polyurethane).…”
Section: Analysis Of Platelet Shape Al 2 O 3 and Tio 2 On Heat Generativementioning
An analytical investigation is performed on the unsteady hydromagnetic flow of nanoparticles Al2O3 and TiO2 in the EG base fluid through a saturated porous medium bounded by two vertical surfaces with heat generation and no-slip boundary conditions. The physics of initial and boundary conditions is designated with the flow model's non-linear partial differential equations. The analytical expressions of nanofluid velocity and temperature with the channel are derived, and Matlab Codes are used to plot the significant results for physical variables. From the physical point of view for nanofluid velocity and temperature results, the base fluid C2H6O2 has a higher viscosity and thermal conductivity than that of water. Physically, the platelet shape Al2O3 nanofluid has the highest velocity than TiO2 nanofluid. It is found that the velocity of nanofluid enhanced the porosity and nanoparticles volume fraction for Al2O3 - EG and TiO2 - EG base nanofluids. However, this trend is reversed for the effects of heat generation. Obtained results indicate that an increase in nanoparticles volume fraction raises the skin friction near the surface, but profiles gradually become linear, due to less frictional effects of nanoparticles. Moreover, due to higher values of nanoparticles volume fraction, the thermal conductivity is raised, and thus the thickness of the thermal boundary layer is declined. The results show that the method provides excellent approximations to the analytical solution of nonlinear system with high accuracy. Metal oxide nanoparticles have wide applications in various fields due to their small sizes, such as the pharmaceutical industry and biomedical engineering.
HIGHLIGHTS
Impact of platelet shape Al2O3 and TiO2 for base fluid C2H6O2 is studied
In Couette and Poiseuille flow, nanoparticles play a vital role to enhance the heat transfer
The infinite series solution has been used for solving the non-linear PDE’s
The uses of Al2O3 and TiO2 in significant heat transfer applications is overviewed
The physiochemical and structural features of metal oxide nanoparticles have diverse biomedical applications
GRAPHICAL ABSTRACT
“…The MHD flow has a wide range of applications in the fields of chemistry and biology, for instance, the fabrication in cancer tumor therapy resulting hypothermia, decreasing bleeding in the state of acute injuries, magnetic resonance visualizing, and various other diagnostic experiments [3]. Magnetohybrid nanofluids flow via mixed convection past a radiative circular cylinder was studied in [4]. The EHD flow of a fluid is modeled by a set of partial differential equations, which can be reduced to an ordinary differential equation as in [16], and results in the following Emden-Fowler type of equation:…”
Section: Model Of Electrohydrodynamic (Ehd) Flow In a Circular Cylindmentioning
This paper is concerned with the Lane–Emden boundary value problems arising in many real-life problems. Here, we discuss two numerical schemes based on Jacobi and Bernoulli wavelets for the solution of the governing equation of electrohydrodynamic flow in a circular cylindrical conduit, nonlinear heat conduction model in the human head, and non-isothermal reaction–diffusion model equations in a spherical catalyst and a spherical biocatalyst. These methods convert each problem into a system of nonlinear algebraic equations, and on solving them by Newton’s method, we get the approximate analytical solution. We also provide the error bounds of our schemes. Furthermore, we also compare our results with the results in the literature. Numerical experiments show the accuracy and reliability of the proposed methods.
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