Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid

Palencia, José Luis Dıaz; Rahman, Saeed Ur; Redondo, Antonio Naranjo

doi:10.1016/j.aej.2022.06.003

Cited by 9 publications

(4 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This can be done using different numerical techniques. In [53,54], the authors implemented Matlab and Runge-Kutta technique with interplant extensions to validate analytic solutions to the onedimensional Eyring-Powell fluid flow and to a Darcy-Forchheimer fluid flow. For our numerical validation, we use the Maple software, which is a very useful tool and provides sophisticated numerical techniques.…”

Section: Corollarymentioning

confidence: 99%

Analytic Approximate Solution of the Extended Blasius Equation with Temperature-Dependent Viscosity

Khanfer

Bougoffa

Bougouffa

2022

J Nonlinear Math Phys

View full text Add to dashboard Cite

An explicit approximate solution is obtained for the extended Blasius equation subject to its well-known classical boundary conditions, where the viscosity coefficient is assumed to be positive and temperature-dependent, which arises in several important boundary layer problems in fluid dynamics. This problem extends a previous problem by Cortell (Appl Math Comput 170:706–710, 2005) when the viscosity is constant, in which a numerical solution was obtained. A comparison with other numerical solutions demonstrates that our approximate solution shows an enhancement over some of the existing numerical techniques. Moreover, highly accurate estimates for the skin-friction were calculated and found to be in good agreement with the numerical values obtained by Howarth (Proc R Soc A: Math Phys Eng Sci 164(919):547–579, 1938), Töpfer (Z Math Phys 60:397–398, 1912), and Cortell [34] when the viscosity is equal to 1, and when it is equal to 2.

show abstract

Section: Corollarymentioning

confidence: 99%

Analytic Approximate Solution of the Extended Blasius Equation with Temperature-Dependent Viscosity

Khanfer

Bougoffa

Bougouffa

2022

J Nonlinear Math Phys

View full text Add to dashboard Cite

show abstract

“…In Refs. [57][58][59][60], the studies in porous media with different fluid flows and their characteristics are presented.…”

Section: Introductionmentioning

confidence: 99%

Al2O3-Cu\Ethylene Glycol-Based Magnetohydrodynamic Non-Newtonian Maxwell Hybrid Nanofluid Flow with Suction Effects in a Porous Space: Energy Saving by Solar Radiation

Jeelani,

Abbas

2023

Symmetry

View full text Add to dashboard Cite

Nanotechnology is well-known for its versatile and general thermal transport disciplines, which are used in semiconductors, spacecraft, bioengineering, functional electronics, and biosensors. As a result, process optimization has attracted the interest of scientists and technologists. The main aim of the current analysis is to explore the enhancement of energy/heat transfer via the dispersion of cylindrical-shaped nanoparticles of alumina and copper in ethylene glycol as a base fluid using a non-Newtonian Maxwell fluid model. In the current study, the effects of solar radiation, plate suction, and magnetohydrodynamics on a Maxwell hybrid nanofluid are encountered. The flow is induced by linearly stretching a sheet angled at ξ=π/6, embedded in a porous space. The proposed problem is converted into a mathematical structure in terms of partial differential equations and then reduced to ordinary differential equations by using appropriate similarity variables. In the similarity solution, all the curves for the velocity field and temperature distribution remain similar, which means that the symmetry between the graphs for the velocity and temperature remains the same. Therefore, there is a strong correlation between similarity variables and symmetry. The obtained model, in terms of ordinary differential equations, is solved using the built-in numerical solver bvp4c. It is concluded that more nanoparticles in a fluid can make it heat up faster, as they are typically better at conducting heat than the fluid itself. This means that heat is transferred more quickly, raising the temperature of the fluid. However, more nanoparticles can also slow the flow speed of the fluid to control the boundary layer thickness. The temperature field is enhanced by increasing the solar radiation parameter, the magnetic field parameter, and the porous medium parameter at an angle of ξ=π/6, which serves the purpose of including radiation and the Lorentz force. The velocity field is decreased by increasing the values of the buoyancy parameter and the suction parameter effects at an angle of ξ=π/6. The current study can be used in the improvement of the thermal efficiency of nanotechnological devices and in renewable energy sources to save energy in the energy sector. The present results are compared with the published ones, and it is concluded that there is excellent agreement between them, which endorses the validity and accuracy of the current study.

show abstract

“…Fetecau et al 13 successfully resolved the issue of hydromagnetic free convection flowing above a movable infinitely vertical plate having Newtonian heating, viscous dissipation, and chemical processes in the influence of a heat source. The impact of MHD flow field heat transfer employing CNTs with radiant heat and a heat sink/ source over a shrinking/stretching sheet was studied by Mahabaleshwar et al 14 Dı´az Palencia et al 15 looked at the flow through an Eyring-Powell characterization in order to represent various non-Newtonian fluid-related circumstances. Senel 16 studied a fully developed, flowing Magnetohydrodynamic (MHD) flow among slipping-wall cylinders.…”

Section: Introductionmentioning

confidence: 99%

Analysis of magnetohydrodynamics flow of a generalized viscous fluid through a porous medium with Prabhakar-like fractional model with generalized thermal transport

Khan¹,

Ishaq²,

Ghani³

et al. 2022

Advances in Mechanical Engineering

View full text Add to dashboard Cite

It is looked into how fractional MHD and viscous fluid naturally flow across a vertical plate that oscillates with a steady heat flux in a porous medium. The analytical solution for non-dimensional momentum was generated using the Laplace transform and the Boussinesq approximation. Comparisons are presented between Fourier’s law-described classical thermal transport and Prabhakar-like fractional time free convection flows in terms of temperature and velocity. By using fractional viscous fluid, we were able to produce conventional viscous fluid solutions and complete their objective. Finally, diagrams are used to show how different parameters such as Prandtl number, fractional parameters, Grashof number, effective permeability, time on temperature and velocity, and graphically recovered the solution available in the literature.

show abstract

Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid

Cited by 9 publications

References 33 publications

Analytic Approximate Solution of the Extended Blasius Equation with Temperature-Dependent Viscosity

Analytic Approximate Solution of the Extended Blasius Equation with Temperature-Dependent Viscosity

Al2O3-Cu\Ethylene Glycol-Based Magnetohydrodynamic Non-Newtonian Maxwell Hybrid Nanofluid Flow with Suction Effects in a Porous Space: Energy Saving by Solar Radiation

Analysis of magnetohydrodynamics flow of a generalized viscous fluid through a porous medium with Prabhakar-like fractional model with generalized thermal transport

Contact Info

Product

Resources

About