Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface

Because of the floating magnetic nanomaterial, ferrofluids have magneto-viscous properties, enabling controllable temperature changes as well as nano-structured fluid characteristics. The study’s purpose is to evolve and solve a theoretical model of bioconvection nanofluid flow with a magnetic dipole effect in the presence of Curie temperature and using the Forchheimer-extended Darcy law subjected to a vertical cone surface. The model also includes the nonlinear thermal radiation, heat suction/injection, viscous dissipation, and chemical reaction effects. The developed model problem is transformed into nonlinear ordinary differentials, which have been solved using the homotopy analysis technique. In this problem, the behavior of function profiles are graphically depicted and explained for a variety of key parameters. For a given set of parameters, tables representthe expected numerical values and behaviors of physical quantities. The nanofluid velocity decreases as the ferrohydrodynamic, local inertia, and porosity parameters increase and decrease when the bioconvection Rayleigh number increases. Many key parameters improved the thermal boundary layer and temperature. The concentration is low when the chemical reaction parameter and Schmidt number rises. Furthermore, as the bioconvection constant, Peclet and Lewis numbers rise, so does the density of motile microorganisms.

Numerical Investigation of Endothermic/Exothermic Reaction in MHD Natural Convective Nano-Fluid Flow over a Vertical Cone with Heat Source/Sink

The significance of natural convective MHD flow of nano-fluid over a vertical cone with Brownian motion, viscous dissipation, heat generation, thermophoresis, and chemical reaction in porous surroundings is discussed in this article. The leading non-linear PDEs are transmuted by using applicable similarity transform and the reformed equations, along with the boundary conditions, are numerically solved by finite difference technique of bvp4c code via MATLAB code. The significance of the controlling parameters on velocity, temperature, and concentration are portrayed vividly. Furthermore, skin friction, Nusselt number, and Sherwood number are charted for diverse parameters. It is worth mentioning that impact of heat source ( ) on velocity and temperature is remarkable. Molar species concentration is accentuated with progressive values of Dufour number, while it is the opposite for velocity and temperature profiles. Moreover, thermal energy is absorbed due to the application of endothermic chemical reaction that cools the surroundings, which minimizes the diffusion rate of molecules and, therefore, less molar concentration is occurred. Conduction is the dominant mechanism for heat transport by applying Rayleigh number. The profiles of skin friction, Nusselt number, and Sherwood number are reduced with higher values of Rayleigh number. The present study has an appreciable impact on many engineering applications, such as magnetic storage media, the cooling systems of electronic devices, nuclear power plants, the chemical industry, and many more. HIGHLIGHTS Heat source/sink is a key parameter for rate of heat/mass transfer of nanofluid flow Exothermic chemical reaction plays a dynamic role to boost the nanofluid flow motion Higher Rayleigh number decays the flow rate as well as rate of heat and mass transfer The study incorporates the application of Brownian motion in nanofluid flow Current study has diverse applications in cooling process GRAPHICAL ABSTRACT

Influence of Injection/Suction on Mixed Convection Flow Across a Vertical Cone Saturated Porous Medium with Double Dispersion and Chemical Reaction Effects

We examined how injection/suction impacts the flow characteristics for mixed convection across a vertical cone saturated porous medium in the presence of double dispersion and chemical reaction effects. We perform suitable transformations to convert the nonlinear system of partial differential expressions into a system of non-dimensional form and received dimensionless equations solved numerically by the bivariate Chebyshev spectral collocation quasi-linearization method. We explain the outcomes of the flow characteristics over various variables through diagrams and numerical benchmarks. We also establish precision verification of the chosen numerical technique through a comparison with prior published computations and found to be in great assent. The residual analysis section also illustrated which unblocks convergence of the present results.

Numerical solution for natural convection fluid flow along a vertical cone with variable diffusivity and wall heat and mass fluxes embedded in a porous medium

The interaction of thermal radiation and variable diffusivity through a vertical cone has been explored. The Soret and Dufour effects are considered. The main interest is focused on the investigation of properties of both wall heat flux alongside the mass flux through the porous medium. The modeled governing equations are simplified by employing the similarity transformations. The final governing controlled equations are resolved numerically. The behavior of flow field, dimensionless temperature and concentration for the sundry physical flow variables are elaborately analyzed via graphs. We have introduced that the novelty for our work lies in the dependence of variable heat flux on the thermal radiation, whereas the mass flux basically relies on the concentration. Comparison of the present results with the available literature reveals a high performance of the shooting technique for heat and mass transfer rates prediction.