Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Khan, Umair; Zaib, Aurang; Băleanu, Dumitru; Sheikholeslami, M.; Wakif, Abderrahim

doi:10.1016/j.heliyon.2020.e04565

Cited by 23 publications

(12 citation statements)

References 33 publications

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“…The nonlinear ODEs ( 11) and ( 12), as well as the boundary condition (13), are numerically solved using the built-in solver of bvp5c MATLAB. The calculations have been performed for a variety of parameter values.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Ramesh and Jyothi 12 used analytical and asymptotic approaches to investigate the two‐dimensional (2D) boundary‐layer flow and heat transfer over a wedge. Khan et al 13 demonstrated the dual solutions for traveling past a moving wedge where the activation energy and chemical reaction have a major effect. Singh et al 14 investigated the slip flow of a micropolar fluid through a permeable wedge due to several impacts by using an analytical method.…”

Section: Introductionmentioning

confidence: 99%

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MHD heat transfer flow over a moving wedge with convective boundary conditions with the influence of viscous dissipation and internal heat generation/absorption

2022

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In this investigation, the problem of the study is the effect of the magnetic field and viscous dissipation on heat transfer flow through a moving wedge in the existence of the internal heat generation/absorption and also suction/injection. The governing equations are changed to some coupled nonlinear differential equations with aid of similarity variables. The numerical calculations of the equations are solved by the MATLAB package solver bvp5c. The changes of the pertinent constraints on the momentum and temperature have been discussed through graphs and numerical values of skin friction and heat transfer factor are listed in the tabular pattern. Although maintaining a constant value for the convection parameter, the Nusselt number is increased for Q > 0 and decreased for Q < 0. The temperature rises in conjunction with an increase in Ec and Nc variables.

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Section: Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

MHD heat transfer flow over a moving wedge with convective boundary conditions with the influence of viscous dissipation and internal heat generation/absorption

2022

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“…Therefore, these achievable equations in the dimensionless form along with the associated boundary stipulations (10) have been resolved numerically using the colocation formula such as the bvp4c. This code is built-in software in MATLAB that gives the solution exercising the well-known 3-stage Lobatto IIIA formula [7,24,33] which is also based on the finite difference scheme. For the working process of the bvp4c package, first, introduce the new variables and with the help of them, we can receive the set of firstorder equations from the leading dimensionless equations.…”

Section: Single Solution Through Bvp4c Techniquementioning

confidence: 99%

“…Afterward, the works on the F-S flow were carried out by various researchers with different aspects as described in Refs. [30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Impact of Buoyancy and Stagnation-Point Flow of Water Conveying Ag-MgO Hybrid Nanoparticles in a Vertical Contracting/Expanding Riga Wedge

et al. 2022

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Riga surface can be utilized to reduce the pressure drag and the friction of the submarine by stopping the separation of the boundary layer as well as by moderating turbulence production. Therefore, the current symmetry of the work investigates the slip impacts on mixed convection flow containing water-based hybrid Ag-MgO nanoparticles over a vertical expanding/contracting Riga wedge. In this analysis, a flat surface, wedge, and stagnation point are also discussed. A Riga surface is an actuator that contains electromagnetic where a span-wise array associated with the permanent magnets and irregular electrodes accumulated on a smooth surface. A Lorentz force is incorporated parallel to the surface produced by this array which eases exponentially normal to the surface. Based on the considered flow symmetry, the physical scenario is initially modeled in the appearance of partial differential equations which are then rehabilitated into a system of ordinary differential equations by utilizing the pertinent similarity variables. A bvp4c solver is engaged to acquire the numerical solution. The flow symmetry and the influences of pertaining parameters involved in the problem are investigated and are enclosed in graphical form. The findings confirm that the velocity reduces, and temperature enhances due to nanoparticle volume fraction. A modified Hartmann number increases the velocity and diminishes the temperature. Moreover, the suction parameter enhances the velocity profiles and reduces the dimensionless temperature profiles. The heat transfer gradually increases by diminishing the contracting parameter and increasing the expanding parameter.

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“…In another study, Dhlamini et al (2019) proved that the activation energy parameter boosts the concentration of chemical species in the boundary layer. A plethora of studies on chemical reactions and activation energy rates have been conducted until now, for instance, Khan et al (2020cKhan et al ( , 2019, Lu et al (2017), andShafique et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer over a permeable moving wedge in a hybrid nanofluid with activation energy and binary chemical reaction

Zainal¹,

Naganthran

Pop

2021

HFF

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Purpose The analysis of boundary layers is needed to reflect the behaviour of fluid flows in current industrial processes and to improve the efficacy of products. Hence, this study aims to analyse the flow and heat transfer performance of hybrid alumina-copper/water (Al2O3-Cu/H2O) nanofluid with the inclusion of activation energy and binary chemical reaction effect towards a moving wedge. Design/methodology/approach The multivariable differential equations with partial derivatives are converted into a specific type of ordinary differential equations by using valid similarity transformations. The reduced mathematical model is elucidated in the MATLAB system by using the bvp4c procedure. This solution method is competent in delivering multiple solutions once appropriate assumptions are supplied. Findings The results of multiple control parameters have been studied, and the findings are verified to provide more than one solution. The coefficient of skin friction was discovered to be increased by adding nanoparticles volume fraction from 0% to 0.5% and 1%, by almost 1.6% and 3.2%. Besides, increasing the nanoparticles volume fraction improves heat transfer efficiency gradually. The inclusion of the activation energy factor displays a downward trend in the mass transfer rates, consequently reducing the concentration profile. In contrast, the increment of the binary reaction rate greatly facilitates the augmentation of mass transfer rates. There is a significant enhancement in the heat transfer rate, approximately 13.2%, when the suction effect dominates about 10% in the boundary layer flow. Additionally, the results revealed that as the activation energy rises, the temperature and concentration profiles rise as well. It is proved that the activation energy parameter boosts the concentration of chemical species in the boundary layer. A similar pattern emerges as the wedge angle parameter increases. The current effort aims to improve the thermal analysis process, particularly in real-world applications such as geothermal reservoirs, chemical engineering and food processing, which often encountered mass transfer phenomenon followed by chemical reactions with activation energy. Originality/value The present results are original and new for the study of flow and heat transfer over a permeable moving wedge in a hybrid nanofluid with activation energy and binary chemical reaction.

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Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Cited by 23 publications

References 33 publications

MHD heat transfer flow over a moving wedge with convective boundary conditions with the influence of viscous dissipation and internal heat generation/absorption

MHD heat transfer flow over a moving wedge with convective boundary conditions with the influence of viscous dissipation and internal heat generation/absorption

Impact of Buoyancy and Stagnation-Point Flow of Water Conveying Ag-MgO Hybrid Nanoparticles in a Vertical Contracting/Expanding Riga Wedge

Flow and heat transfer over a permeable moving wedge in a hybrid nanofluid with activation energy and binary chemical reaction

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