Homotopy Analysis Solution of Hydromagnetic Mixed Convection Flow Past an Exponentially Stretching Sheet with Hall Current

Elaziz, Mohamed Abd; Nabil, Tamer

doi:10.1155/2012/454023

Cited by 9 publications

(5 citation statements)

References 59 publications

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“…y y y y y y y (17) The fourth-order Runge-Kutta method is employed on Maple 18 see Rana and Shukla [46] and El-Aziz and Nabil [47] for more on MAPLE software) to obtain the solutions to Eqs (17). A step size of 0.001 is used to calculate the equations' solutions.…”

Section: Methods Of Solution Via Runge-kutta/shooting Techniquementioning

confidence: 99%

Transient Hydromagnetic Maxwell Fluid Flow over Inclined Stretching Surface with Thermal Radiation, Viscous Dissipation and Ohmic Heating Effects

Opanuga,

Agboola,

Okagbue

et al. 2023

Preprint

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Analysis of an electrically conducting two-dimensional Maxwell fluid flowing through an inclined stretching sheet is considered in this work. Incorporating the viscous dissipation and Ohmic heating effects on the time-dependent optically dense fluid, and using the required similarity transformation variables, the equations governing the flow are deduced and converted into a coupled system of ordinary differential equations. Runge-Kutta fourth order scheme with shooting technique is applied to solve the derived equations. Plots and tables are employed to explain the flow parameters for fluid velocity, temperature, and concentration profiles as well as the skin friction, local Nusselt number, and local Sherwood number. Increase in the angle of inclination parameter, Hartmann number, Prandtl number and Schmidt number reduce the magnitude of the fluid velocity, while radiation parameter, Grashof and Eckert numbers increase it. However, fluid temperature is significantly moderated by Grashof and Prandtl numbers.

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Section: Methods Of Solution Via Runge-kutta/shooting Techniquementioning

confidence: 99%

Transient Hydromagnetic Maxwell Fluid Flow over Inclined Stretching Surface with Thermal Radiation, Viscous Dissipation and Ohmic Heating Effects

Opanuga,

Agboola,

Okagbue

et al. 2023

Preprint

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“…III. ADOMIAN DECOMPOSITION The Adomian decomposition method is applied by writing (10), (11) and (12) in integral form as:…”

Section: Problem Formulationmentioning

confidence: 99%

“…This then induces a current in the direction of both electric and magnetic fields. This is referred to as Hall effect, the induced current is called Hall current [9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Hall Current and Joule Heating Effects on Flow of Couple Stress Fluid with Entropy Generation

Opanuga

Okagbue

Bishop

et al. 2018

Eng. Technol. Appl. Sci. Res.

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In this work, an analytical study of the effects of Hall current and Joule heating on the entropy generation rate of couple stress fluid is performed. It is assumed that the applied pressure gradient induces fluid motion. At constant velocity, hot fluid is injected at the lower wall and sucked off at the upper wall. The obtained equations governing the flow are transformed to dimensionless form and the resulting nonlinear coupled boundary value problems for velocity and temperature profiles are solved by Adomian decomposition method. Analytical expressions for fluid velocity and temperature are used to obtain the entropy generation and the irreversibility ratio. The effects of Hall current, Joule heating, suction/injection and magnetic field parameters are presented and discussed through graphs. It is found that Hall current enhances both primary and secondary velocities and entropy generation. It is also interesting that Joule heating raises fluid temperature and encourages entropy production. On the other hand Hartman number inhibited fluid motion while increase in suction/injection parameter resulted into a shift in flow symmetry.

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“…The term "nanofluid" was initially introduced by Eastman et al [12]. In recent times, there has been a significant increase in the attention given to nanofluids due to their enhanced thermal properties and their applications in various fields like as microfluidics, microelectronics, fuel cells, medicine, surfactants, and transportation [13][14][15][16][17][18][19]. The initial exploration of hybrid nanoscale particles utilizing this technology was conducted by researchers Jana et al [20] and Turcu et al [21].…”

Section: Introductionmentioning

confidence: 99%

Exploring the effects of TiO2${\rm TiO}_2$–Ag/water hybrid nanofluid on MHD flow over a permeable exponentially stretching–shrinking sheet with radiative heat transfer and slip conditions

Patel,

Pandya,

Patel

2024

Z Angew Math Mech

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The objective of this article is to study the importance of velocity and thermal slip in the exponentially stretching or shrinking sheet with the megnetohydrodynamic (MHD) hybrid nanofluid flow along with magnetic field, radiative, heat generation effects. This study has practical importance in enhancing heat transfer efficiency, improving energy conversion and optimizing thermal management systems. The findings can also contribute to the development of sustainable energy systems and aid in assessing the stability and safety of nanofluid applications. The governing partial differential equations are transformed into nonlinear ordinary differential equations using similarity transformation. The ODEs are solved using bvp4c solver in MATLAB. The dual solutions are achieved for specific range of the stretching or shrinking parameter and mass suction parameter. The first solution is physically significant after considering stability analysis. The hybrid nanofluid has numerous real‐life and industrial applications, such as microelectronics, manufacturing, naval structures, nuclear system cooling, biomedical, and drug reduction. The skin‐friction increases but Nusselt number decreases over the stretching sheet whereas the opposite effect shows over shrinking sheet for the both solution with the increasing velocity slip parameter. On the other hand, The Nusselt number decreases over the shrinking or stretching sheet for both solutions with the increasing in the thermal slip parameter. The skin friction increases over shrinking sheet but decreases over stretching sheet for the first solution with increasing silver volume fraction parameter and porosity parameter (). Enhancing magnetic field parameter leads to the skin friction increases over the shrinking sheet but decreases over stretching sheet but Nusselt number shows opposite trend. The Nusselt number decreases over shrinking sheet but increases over stretching sheet for the first solution with increasing porosity parameter (). The Nusselt number decreases over shrinking or stretching sheet as the increases heat generation () and variable thermal conductivity parameter () but Nusselt number shows opposite trend as the increases radiative parameter ().

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Homotopy Analysis Solution of Hydromagnetic Mixed Convection Flow Past an Exponentially Stretching Sheet with Hall Current

Cited by 9 publications

References 59 publications

Transient Hydromagnetic Maxwell Fluid Flow over Inclined Stretching Surface with Thermal Radiation, Viscous Dissipation and Ohmic Heating Effects

Transient Hydromagnetic Maxwell Fluid Flow over Inclined Stretching Surface with Thermal Radiation, Viscous Dissipation and Ohmic Heating Effects

Hall Current and Joule Heating Effects on Flow of Couple Stress Fluid with Entropy Generation

Exploring the effects of TiO2${\rm TiO}_2$–Ag/water hybrid nanofluid on MHD flow over a permeable exponentially stretching–shrinking sheet with radiative heat transfer and slip conditions

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