Study of nonlinear radiative heat transfer with magnetic field for non-Newtonian Casson fluid flow in a porous medium

Jalili, Payam; Azar, Ali Ahmadi; Jalili, Bahram; Ganji, D.D.

doi:10.1016/j.rinp.2023.106371

Cited by 69 publications

(14 citation statements)

References 45 publications

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“…The HAN method was applied in several studies 13 , 17 – 24 for solving nonlinear ordinary differential equations, and its methodology was given in detail. We have used this method due to its flexibility advantage compared to other semi-analytical methods.…”

Section: Application Of the Han Methodsmentioning

confidence: 99%

“…The similarity transformation is applied for converting the constitutive equations into a set of nonlinear coupled ODEs. The HAN method is used in this study due to its brilliant reputation for solving problems with nonlinear constitutive equations 13 , 17 – 24 . In the similarity solutions, five physical quantities such as radial velocity, axial velocity, micro-rotation, temperature, and concentration profiles, with the addition of nine physical parameters such as radiation parameter, Eckert number, Prandtl number, stretching Reynolds number, magnetic parameter, Schmidt number, vortex viscosity, micro-inertia density, and spin gradient viscosity parameter.…”

Section: Introductionmentioning

confidence: 99%

“…Many numerical techniques exist, but the main disadvantage of a numerical method is its lack of analytical solution. The HAN method has corrected this disadvantage of the numerical solutions in many problems 13 , 17 – 24 and can also be applied in many recent numerical studies 25 – 35 . Understanding this method and reaching to analytical solutions is possible and quicker than other studies 36 , 37 that have used other semi-analytical methods.…”

Section: Introductionmentioning

confidence: 99%

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Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Ahmadi Azar,

Jalili,

Jalili

et al. 2023

Sci Rep

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The purpose of this theoretical study is to explore the behavior of an electrically conducting micropolar fluid when subjected to a uniform magnetic field along the vertical axis between two stretching disks as the structure of the problem changes. In this context, structural changes refer to alterations in the distance between the two discs or the stretching rate of the two discs. The governing equations of this problem are a set of nonlinear coupled partial differential equations, which are transformed into a nonlinear coupled ordinary differential equation set by a similarity transformation. The transformation results in four dimensionless quantities and their derivatives that appear in the equations. Nine dimensionless parameters are derived via similarity variables, including stretching Reynolds number, magnetic parameter, radiation parameter, Prandtl number, Eckert number, Schmidt number, and three micropolar parameters. Previous similarity solutions focused on analyzing the effect of changes in each parameter on the four dimensionless quantities. However, this type of analysis is mainly mathematical and does not provide practical results. This study’s primary novelty is to redefine the magnetic parameter, Eckert number, stretching Reynolds number, and two micropolar parameters to analyze physical parameters that depend on the stretching rate of the two discs or the distance between them. The semi-analytical hybrid analytical and numerical method (HAN-method) is used to solve the equations. The results demonstrate that structural changes affect all five quantities of radial velocity, axial velocity, microrotation, temperature, and concentration. The study’s most significant finding is that an increase in the stretching rate of the two disks causes a sharp increase in temperature and Nusselt number. Conversely, increasing the distance between the two disks causes a sharp decrease in micro-rotation and wall couple stress. They were compared to a previous study in a specific case to validate the results’ accuracy.

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Section: Application Of the Han Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Ahmadi Azar,

Jalili,

Jalili

et al. 2023

Sci Rep

Self Cite

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“…Jalili et al. [2] scrutinized the radiated thermal transport flow of Casson fluid with magnetic field past over the porous stretchy sheet. The result reveals that the Casson coefficient has an indirect impact on the concentration and energy transport, whereas it shows significant dropping impact on velocity region.…”

Section: Introductionmentioning

confidence: 99%

Numerical computation of joule heating and chemical reaction for the radiated Casson fluid on the slender parabolic surface

Salahuddin,

Awais

2024

Z Angew Math Mech

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This work dealing to solve the numerical results of magnetohydrodynamic flow material (Casson fluid) moving over the slender parabolic surface with temperature dependent viscosity. To make the enhancement in the thermal and solutal fields, we have determined the impact of thermal radiation, viscous dissipation, joule heating, and chemical reaction on the considered flow material. Due to huge applications in coating processes and aerodynamic industries, the suction/Injection is assumed at the surface. With the help of assumed assumptions, the governing equations are obtained in partial differential equation forms, and these equations are translated into ordinary differential equations form by using the Levy‐Lee similarity transformations. The translated forms of ODE's are then numerically solved by using the Adams‐Milne (Predictor–Corrector) technique. The graphical and numerical findings are determined by producing the emerging parameters. The decrement in velocity is noted due to fluid parameter and suction coefficient whereas the enhancement happens due to natural convection. The numerical determination of physical quantities including, Nusselt number, Skin friction and Sherwood number are also examined here and compared the findings with two numerical techniques (Adam‐Milnes and Bvp4c method).

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“…A catheterized artery with multiple stenoses was studied by Dolui et al (2023) with an induced magnetic field and thermal radiation. A study by Jalili et al (2023) deliberated nonlinear radiative heat transfer in porous media with magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Effects of nanoparticle shape factor on radiative ternary hybrid nanofluid flow over a wedge in presence of induced magnetic field

Das,

Duari

2024

MMMS

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PurposeSeveral graphs, streamlines, isotherms and 3D plots are illustrated to enlighten the noteworthy fallouts of the investigation. Embedding flow factors for velocity, induced magnetic field and temperature have been determined using parametric analysis.Design/methodology/approachTernary hybrid nanofluids has outstanding hydrothermal performance compared to classical mono nanofluids and hybrid nanofluids owing to the presence of triple tiny metallic particles. Ternary hybrid nanofluids are considered as most promising candidates in solar energy, heat exchangers, electronics cooling, automotive cooling, nuclear reactors, automobile, aerospace, biomedical devices, food processing etc. In this work, a ternary hybrid nanofluid flow that contains metallic nanoparticles over a wedge under the prevalence of solar radiating heat, induced magnetic field and the shape factor of nanoparticles is considered. A ternary hybrid nanofluid is synthesized by dispersing iron oxide (Fe3O4), silver (Ag) and magnesium oxide (MgO) nanoparticles in a water (H2O) base fluid. By employing similarity transformations, we can convert the governing equations into ordinary differential equations and then solve numerically by using the Runge–Kutta–Fehlberg approach.FindingsThere is no fund for the research work.Social implicationsThis kind of study may be used to improve the performance of solar collectors, solar energy and solar cells.Originality/valueThis investigation unfolds the hydrothermal changes of radiative water-based Fe3O4-Ag-MgO-H2O ternary hybrid nanofluidic transport past a static and moving wedge in the presence of solar radiating heating and induced magnetic fields. The shape factor of nanoparticles has been considered in this study.

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Study of nonlinear radiative heat transfer with magnetic field for non-Newtonian Casson fluid flow in a porous medium

Cited by 69 publications

References 45 publications

Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Numerical computation of joule heating and chemical reaction for the radiated Casson fluid on the slender parabolic surface

Effects of nanoparticle shape factor on radiative ternary hybrid nanofluid flow over a wedge in presence of induced magnetic field

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