Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method

Ibrahim, Wubshet; Anbessa, Temesgen

doi:10.1186/s42787-019-0042-9

Cited by 18 publications

(12 citation statements)

References 40 publications

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“…However, a decreasing trend was seen for the temperature profile in Figure 6b when λ increased. The augmentation of λ decreased the thermal diffusivity of the hybrid nanofluid (see Ibrahim and Anbessa [71]). As a result, the thermal boundary layer became thinner (see Figure 6b).…”

Section: Resultsmentioning

confidence: 98%

Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect

et al. 2023

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A mathematical model for the unsteady, two-dimensional mixed convection stagnation point flow over a Riga plate is presented in this study. Convective boundary conditions, time-dependent derivatives, mixed convection, radiation effects, and the Grinberg term were all incorporated into the formulation of the governing equations and boundary conditions. By incorporating similarity transformations, ordinary differential (similarity) equations (ODEs) are derived from the partial differential equations (PDEs) of the flow model. The boundary value problem of the fourth-order accuracy code (bvp4c) was implemented in MATLAB (2017b, The MathWorks, Inc., MA. USA, 2017) to solve the mathematical model numerically. Due to the plate's shrinking motion, two (dual) solutions are possible (first and second solutions). Based on the stability analysis, it was found that the first solution is stable and physically realizable in practice, while the second solution is not stable and not physically realizable in practice. It was found that the increase in the mixed convection parameter, modified Hartmann number, and unsteadiness parameter improved the hybrid nanofluid's temperature profile. In addition, increasing the unsteadiness parameter decreased the velocity profile and the skin friction coefficient. Thus, the numerical results suggested that the augmentation of the modified Hartmann number, mixed convection parameter, and unsteadiness parameter can enhance the heat transfer performance in this flow model. This study offers valuable insight into fundamental transport phenomena such as the transmission of momentum, heat, or mass. Hence, it provides valuable information on the gradients of essential factors to control the boundary layer flow pattern.

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Section: Resultsmentioning

confidence: 98%

Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect

et al. 2023

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“…Equations ( 13)-( 16) depending on the boundary conditions (17) are solved employing the spectral relaxation method [42,[45][46][47][48][49][50]. is method is chosen as it has been exposed to be accurate and in general easier to employ compared to other ordinary numerical methods, for instance finite difference method.…”

Section: Methods Of Solutionmentioning

confidence: 99%

Three-Dimensional MHD Mixed Convection Flow of Casson Nanofluid with Hall and Ion Slip Effects

Ibrahim

Anbessa

2020

Mathematical Problems in Engineering

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The intention of the present study is to scrutinize the three-dimensional MHD mixed convection flow of Casson nanofluid over an exponentially stretching sheet using the impacts of Hall and ion slip currents. Moreover, the impacts of thermal radiation and heat source are considered in this study. The governing partial differential equations are transformed into a system of joined nonlinear ordinary differential equations using similarity transformations, and they are solved numerically employing a spectral relaxation method (SRM). The obtained results are contrasted with existing specific cases, and a reasonable harmony is established. The impacts of noteworthy physical parameters on the velocities, thermal and concentration distributions, skin friction coefficients, local Nusselt number, and local Sherwood number are investigated graphically. It is found that the rise in Casson fluid and magnetic field parameters reduce the velocity profiles along both x− and y− directions while the reverse tendency is observed with an increment in Hall, ion slip, and mixed convection parameters. Moreover, the increase in both radiation and heat source parameters enhances the temperature profile. It is also observed that both the skin friction coefficients reduced with an increase in Casson fluid, Hall, and ion slip parameters. Furthermore, the local Nusselt number enhances with an augment in radiation parameter, whereas the opposite trends of local Nusselt and Sherwood numbers are found with an increase in heat source parameter.

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“…Equations (11) to (14) depending on the boundary conditions (15) are solved employing the SRM. 38,[44][45][46][47][48][49][50] This method is chosen as it has been found to be accurate, and in general, easier to employ compared with other ordinary numerical methods, for example, the Keller box method.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…The solution of displayed hydrodynamic boundary layer flow is obtained via the Galerkin finite element method (GFEM). Other most recent investigations on Hall and ion‐slip impacts are given in References 32‐40 …”

Section: Introductionmentioning

confidence: 99%

“…Other most recent investigations on Hall and ion-slip impacts are given in References. [32][33][34][35][36][37][38][39][40] As far as we know, the mixed convection flow of Maxwell nanofluid past an extending sheet with Hall and ion-slip impacts has not been thoroughly considered at this point. Along these lines, the goal of the present investigation is to study the Hall and ion-slip effects on mixed convection flow of a Maxwell nanofluid over a permeable extending sheet employing the spectral relaxation method (SRM).…”

Section: Introductionmentioning

confidence: 99%

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Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

Ibrahim

Anbessa

2020

Heat Trans

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This article investigates the Hall and ion‐slip impacts on the mixed convection flow of a Maxwell nanofluid over an expanding surface in a permeable medium. The impacts of Brownian movement and thermophoresis parameters, Soret, Dufour, viscous dissipation, chemical reaction, and suction parameters, are, moreover, considered. Using the similitude changes, the partial differential equations with regard to the momentum, energy, and concentration equations are transformed to an arrangement of nonlinear ordinary differential equations, which are handled numerically utilizing a spectral relaxation method (SRM). The impacts of noteworthy physical parameters on the velocities, thermal, and concentration distributions are investigated graphically. Moreover, the numerical values of skin‐friction coefficients, local Nusselt number, and Sherwood number for different values of the mixed convection parameter ( γ ) , Deborah number ( λ ) , Hall parameter false( β H false) , ion‐slip parameter false( β i false) , Dufour number (Du), and Soret number ( Sr ) are computed and tabulated. It is discovered that ascent in Deborah number reduces both the stream and transverse velocity profiles, while the inverse pattern is seen with augmentation in the mixed convection parameter. In addition, inverse patterns of the stream and transverse velocity profiles are seen with expansion in magnetic, Hall, and ion‐slip parameters. Besides this, the temperature and concentration disseminations decline with augmentation in Dufour number and chemical reaction parameters, respectively. It is likewise seen that both the skin‐friction coefficients lessen with expansion in Deborah number, and they ascend with upgrade in blended convection and ion‐slip parameters, while the opposite condition is noticed with augmentation in Hall parameter. Furthermore, the reverse trends of local Nusselt and Sherwood numbers are discovered with expansion in the Dufour and Soret numbers.

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Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method

Cited by 18 publications

References 40 publications

Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect

Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect

Three-Dimensional MHD Mixed Convection Flow of Casson Nanofluid with Hall and Ion Slip Effects

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

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