MHD flow and nonlinear radiative heat transfer of Sisko nanofluid over a nonlinear stretching sheet

Numerical study of hydrothermal and mass aspects in MHD driven Sisko-nanofluid flow including optimization analysis using response surface method

A steady, incompressible, two-dimensional Sisko-nanofluid flow towards the horizontal direction with no movement in the vertical direction is considered on a stretching/shrinking surface. The power law component (Sisko model) is incorporated under the regime of the porous medium. A magnetic impact is included coming from the MHD in the surface normal direction. In addition, thermal radiation, Brownian diffusion, and thermophoresis are involved in the governing system of equations obtained from the Navier-Stokes model in two-dimensional flow systems. The PDEs are converted into the one-dimensional system using suitable transformations and solved by Galerkin weighted residual method validated with the spectral collocation method. The optimization analysis is performed on heat transfer and skin-friction factors using response surface methodology. The impact of the parameters involved in the model has been testified and is provided in graphical forms. The outcomes indicate that for the values of the porosity factor fluctuating between [0, 2.5], the velocity profile and corresponding boundary layer thickness are lesser towards the maximum value of the parameter, and the results are opposite as the parameter approaches zero. The optimization and sensitivity analysis shows that the transport of heat sensitivity towards thermal radiation, Brownian diffusion, and thermophoresis declined whenever the Nt and Nb increased from low to high and at the medium level of thermal radiation. An increment in the Forchheimer parameter increases the sensitivity of the rate of friction factor, whereas increasing the Sisk-fluid parameter has the reverse effect. Elongation processes like those of pseudopods and bubbles make use of such models. The idea is also widely used in other sectors, such as the textile industry, glass fiber production, cooling baths, paper manufacture, and many more.

A mathematical analysis of mass transfer phenomena with chemical reaction over the flow of Sisko ferronanofluid across a permeable surface

Mathematically study mass transfer phenomena involving chemical reactions in the flow of Sisko Ferro nanofluids through the porous surface. Three ferronano particles, manganese-zinc ferrite (Mn1/2Zn1/2Fe₂O₄), cobalt ferrite (CoFe₂O₄), and nickel-zinc ferrite (Ni-Zn Fe₂O₄) are considered with water (H₂O) and ethylene glycol (C₂H₆O₂) as base liquids. Appropriate resemblance transitions are used to convert the governing system of a nonlinear PDE to a linear ODE. The Runge-Kutta method, as extended by the shooting technique, is used to accomplish the reduction governing equations. The effects of various associated parameters on fluid concentration and mass transfer rate are investigated: magnetic criterion (M), Siskofluid material factor (A), Solid volume fraction (ϕ) for nanofluids, permeability parameter (Rp), Chemical reaction criterion (γ), Brownian motion factor (Nb), and Thermophoretic parameters (Nt). The current findings indicate that the diffusion proportion of Sisko Ferronanofluid Ni-Zn Fe₂O₄-H₂O and CoFe₂O₄-H₂O is higher than that of Ni-Zn Fe₂O₄-C₂H₆O₂ and CoFe₂O₄-C₂H₆O₂ respectively but it is opposite in the case of Mn-Zn ferrite. The comparison study was carried out to validate the precision of the findings.

Dual Solution of Sisko Nanofluid Flow with Gyrotactic Microorganisms Over Stretching/Shrinking Sheet in Non-Darcy Porous Medium

The objective of this paper is to determine the dual solution of bioconvection Sisko nanofluid flow comprising gyrotactic micro-organism enclosed in a porous medium. The flow analysis is incorporated with the presence of Darcy–Forchhemier inertia effect, chemical reaction and magnetohydrodynamic flow over a non-linear stretching sheet. With regard to these assumptions the regulating non-linear partial differential equations for the fluid flow are drafted and turned into ordinary differential equations by means of relevant similarity transformation. Fifth order Runge–Kutta Felhberg method with shooting technique is applied to obtain numerical solution of the transformed ordinary differential equations. Graphs are sketched out to observe and interpret variation in velocity, temperature, nanoparticles concentration and density of micro-organism profiles for respective determining factors. Comparison of the obtained results for local Nusselt number with Prandtl number reveals commendable agreement with earlier reported results. Bioconvection Lewis number, Prandtl number, Peclet number and microorganism difference parameter for escalating values discloses a declining behaviour of motile micro-organism density distribution.

Analysis of Non-Linear Radiation and Activation Energy Analysis on Hydromagnetic Reiner–Philippoff Fluid Flow with Cattaneo–Christov Double Diffusions

Using magnetohydrodynamics (MHD), the thermal energy and mass transport boundary layer flow parameters of Reiner–Philippoff fluid (non-Newtonian) are numerically investigated. In terms of energy and mass transfer, non-linear radiation, Cattaneo–Christov double diffusions, convective conditions at the surface, and the species reaction pertaining to activation energy are all addressed. The stated governing system of partial differential equations (PDEs) is drained into a non-linear differential system using appropriate similarity variables. Numerical solutions are found for the flow equations that have been determined. Two-dimensional charts are employed to demonstrate the flow field, temperature and species distributions, and rate of heat and mass transfers for the concerned parameters for both Newtonian and Reiner–Philippoff fluid examples. The stream line phenomenon is also mentioned in this paper. A table has also been utilized to illustrate the comparison with published results, which shows that the current numerical data are in good accord. The findings point to a new role for heat and mass transfer. According to the findings, increasing values of solutal and thermal relaxation time parameters diminish the associated mass and thermal energy layers. The current study has significant ramifications for chemical engineering systems.

Influence of Non-Uniform Heat Source/Sink on Unsteady Chemically Reacting Nanofluid Flow over a Cone and Plate

This computational study explores the properties of non-uniform heat source/sink on the fluid transport properties of a chemically reacting nanofluid with two types of geometries saturated with porous medium. Simulations have been done to investigate the heat and mass transfer characteristics using Crank-Nicolson scheme. Influence of active parameters such as Hartman number, heat source and sinks, Brownian diffusion, higher order chemical reaction, Prandtl number and thermophoretic diffusivity are graphically presented. Tables demonstrate the significant impact of sundry parameters on skin-friction factor, heat and mass transfer rates. The achieved results expose that the heat source/sink parameter has high influences on the fluid flow and heat transfer characteristics. A decrease in average skin friction factor due to the magnetic field is more significant in the flow on a plate than that of cone.