Research Article
Mathematical Modelling of Multiphase Hybrid Gyro-tactic Nanofluid Flow Through Porous Convergent Pipe with Injection and Suction Using BVP4c
Chepkonga David,
Mathew Kinyanjui,
Roy Kiogora,
Kang’ethe Giterere
Issue:
Volume 13, Issue 6, December 2024
Pages:
211-223
Received:
23 July 2024
Accepted:
2 September 2024
Published:
18 December 2024
Abstract: This research focuses on enhancing fluid mobility by optimizing heat transfer, a crucial aspect in various industrial applications, including oil recovery. The study introduces an innovative framework that integrates microorganisms, hybrid nanoparticles, non-Newtonian fluid properties, a power law model, and inclined magnetic fields. The underlying dynamics are described by nonlinear partial differential equations, which are converted to ordinary differential equations using similarity transformation and subsequently solved through the BVP4c method. Key results demonstrate that fluid velocity increases with higher Reynolds, Hartman, Thermal Grashof, and Mass Grashof numbers due to factors such as reduced viscous drag, the Lorentz force’s acceleration effect, and enhanced buoyancy. On the other hand, a higher Prandtl number slightly reduces velocity, while an increased Schmidt number raises it by steepening the velocity gradient. Regarding temperature, higher Reynolds and Prandtl numbers, along with increased Eckert and Radiation parameters, result in elevated fluid temperatures due to enhanced convective heat transfer, decreased thermal diffusivity, viscous dissipation, and radiative heat effects. The insights gained from this study are valuable for improving oil extraction efficiency by identifying and manipulating key parameters that affect fluid behavior.
Abstract: This research focuses on enhancing fluid mobility by optimizing heat transfer, a crucial aspect in various industrial applications, including oil recovery. The study introduces an innovative framework that integrates microorganisms, hybrid nanoparticles, non-Newtonian fluid properties, a power law model, and inclined magnetic fields. The underlying...
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Research Article
Time - Dependent Magnetohydrodynamic Non-Newtonian Nanofluid Flow with Lorentz Force, Viscous Dissipation and Thermophoresis Between Parallel Plates
Issue:
Volume 13, Issue 6, December 2024
Pages:
224-235
Received:
26 July 2024
Accepted:
6 November 2024
Published:
18 December 2024
Abstract: The study examined a three-dimensional unsteady Magnetohydrodynamic non-Newtonian nanofluid flow with magnetic induction, Lorentz force, viscous dissipation and thermophoresis between two parallel horizontal plates. In this study, fluid’s dynamic viscosity and thermal conductivity parameters have been assumed to vary depending on temperature changes. The density has been assumed to be incompressible and also the study assumes that the gravitational effects are negligible. The governing equations: continuity, Navier-Stokes, Energy, Magnetic Induction and Concentration equations for the non-Newtonian nanofluid flow have been developed and non-dimensionalized. Dimensionless parameters arising from the dimensionless equations have also been determined. Finite difference numerical approximation method has been used to approximate the systems of the governing equations in difference form. Profiles for the flow variables have been presented and discussed. Results show that increasing thermophoresis parameter increases the specie concentration while increasing Schmidt number and chemical reaction parameter reduces concentration profiles. Magnetic induction profiles rise with an increase in Reynolds number but declines with an increase in magnetic Prandtl number. Temperature and velocity profiles increase with an increase in Reynolds number. The study of electrically conducting fluids with the consideration of Lorentz force, thermophoresis, viscous dissipation, chemical reaction, variable dynamic viscosity, variable thermal conductivity and magnetic induction is very useful in designing heat and mass transfer appliances. It is also significant in cooling and overheating control systems.
Abstract: The study examined a three-dimensional unsteady Magnetohydrodynamic non-Newtonian nanofluid flow with magnetic induction, Lorentz force, viscous dissipation and thermophoresis between two parallel horizontal plates. In this study, fluid’s dynamic viscosity and thermal conductivity parameters have been assumed to vary depending on temperature change...
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Research Article
Mathematical Modeling of Reaction Diffusion Equation for Facilitated Emigration of Planar Electrode in a Non-Linear Process at Electroactive Polymer Film
Uma Andiappan,
Swaminathan Rajagopal*
Issue:
Volume 13, Issue 6, December 2024
Pages:
236-244
Received:
1 December 2024
Accepted:
16 December 2024
Published:
30 December 2024
DOI:
10.11648/j.acm.20241306.13
Downloads:
Views:
Abstract: In this article, we propose a simple and effective methods to resolve the reaction diffusion equation for facilitated emigration of planar electrode in a steady state non-linear process that arises in the context of the electroactive polymer film. The mathematical modeling presented here suggest a substrate and an immobilized catalyst form a complex. By applying the two effective analytical approach namely Homotopy Analysis Method and Exp-Function Method, an approximate analytical expression for the substrate concentration for planar electrode is established. Moreover, the analytical approach of the current for the experimental outcomes is established. The efficiency of the methods is demonstrated by contrasting the numerical simulation with the Analytical findings. The derived analytical outcomes are compared with numerical data which is obtained by using Matlab software and it is transpires that they correspond adequately. Also the comparison of computational outcomes with dimensionless concentration of planar electrode substrate in its analytical representation established in table. In these table results depicts for different amount of reaction and diffusion parameters our new result agree rather well with the numerical findings. The error percentage of our results employing Homotopy Analysis Method and Exp-Function Method with numerical results presented. The solution is also graphically presented. It provides a satisfactory agreement for all parameter setting under comparison.
Abstract: In this article, we propose a simple and effective methods to resolve the reaction diffusion equation for facilitated emigration of planar electrode in a steady state non-linear process that arises in the context of the electroactive polymer film. The mathematical modeling presented here suggest a substrate and an immobilized catalyst form a comple...
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,
Mukonda Danny
