Axisymmetric flow of hybrid nanofluid due to a permeable non-linearly stretching/shrinking sheet with radiation effect

Purpose This paper aims to analyse numerically the unsteady stagnation-point flow of Cu-Al2O3/H2O hybrid nanofluid towards a radially shrinking Riga surface with thermal radiation. Design/methodology/approach The governing partial differential equations are transformed into a set of ordinary (similar) differential equations by applying appropriate transformations. The numerical computation of these equations including the stability analysis is conducted using the bvp4c solver. Findings Two solutions are possible within the allocated interval: shrinking parameter, unsteadiness decelerating parameter, electro-magneto-hydrodynamics (EMHD) parameter, nanoparticles volumetric concentration, radiation parameter and width parameter, whereas the stability analysis certifies that the first (upper branch) solution, which fulfills the boundary conditions is the physical/real solution. The EMHD parameter generated from the application of Riga plate enhances the skin friction coefficient as well as the heat transfer process. The width parameter d is also one of the factors in the deterioration of the skin friction coefficient and heat transfer rate. It is crucial to control the width parameter of the magnets and electrodes to obtain the desired outcome. The radiation parameter is not affecting the boundary layer separation because the critical values are unchanged. However, the addition of radiation and unsteadiness decelerating parameters boosts the thermal rate. Originality/value The results are novel and contribute to the discovery of the flow and thermal performance of the hybrid nanofluid subjected to a radially shrinking Riga plate. Besides, this work is beneficial to the other researchers and general audience from industries regarding the factors which contribute to the thermal enhancement of the working fluid.

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“…The governing unsteady flow and energy equations are (Hashim and Sharjeel, 2018; Roşca et al , 2021; Khashi’ie et al , 2021b): …”

Section: Problem Formulationmentioning

confidence: 99%

Dual solutions of unsteady two-dimensional electro-magneto-hydrodynamics (EMHD) axisymmetric stagnation-point flow of a hybrid nanofluid past a radially stretching/shrinking Riga surface with radiation effect

Khashi’ie

Waini²,

Arifin³

et al. 2022

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“…Turkyilmazoglu has derived the exact solution for the fluid flow problem 42 , 43 , while Wahid et al 44 have approached the analytical solution of hybrid nanofluid flow with partial slip on permeable stretching surface with the effect of radiation. Stability analysis has been extensively utilised to validate the real solution mathematically, first developed by Merkin 45 , and, on this basis, relevant research has covered both steady and unsteady cases 46 – 48 .…”

Section: Introductionmentioning

confidence: 99%

Influence of carbon nanotube suspensions on Casson fluid flow over a permeable shrinking membrane: an analytical approach

Mahesh

Mahabaleshwar

Sofos

2023

Sci Rep

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The present work employs the single-wall carbon nanotube (SWCNT) and multiwall carbon nanotube (MWCNT) models on axisymmetric Casson fluid flow over a permeable shrinking sheet in the presence of an inclined magnetic field and thermal radiation. By exploiting the similarity variable, the leading nonlinear partial differential equations (PDEs) are converted into dimensionless ordinary differential equations (ODEs). The derived equations are solved analytically, and a dual solution is obtained as a result of the shrinking sheet. The dual solutions for the associated model are found to be numerically stable once the stability analysis is conducted, and the upper branch solution is more stable compared to lower branch solutions. The impact of various physical parameters on velocity and temperature distribution is graphically depicted and discussed in detail. The single wall carbon nanotubes have been found to achieve higher temperatures compared to multiwall carbon nanotubes. According to our findings, adding carbon nanotubes volume fractions to convectional fluids can significantly improve thermal conductivity, and this can find applicability in real world applications such as lubricant technology, allowing for efficient heat dissipation in high-temperatures, enhancing the load-carrying capacity and wear resistance of the machinery.

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“…The influence of magnetohydrodynamics (MHD) stagnation point flow on a permeable moving surface with buoyancy effect is addressed by Hussain et al (2021); Zainal et al (2020a, 2021a); and Jamaludin et al (2020). Some available reviews focused on the nanofluid and hybrid nanofluid considering various effects can be assessed through Uddin et al (2015), Ghalambaz et al (2019); Waini et al (2021a); Zainal et al (2021b); Roşca et al (2021a, 2021b, 2021c); and Khan et al (2021).…”

Section: Introductionmentioning

confidence: 99%

Mixed bioconvection stagnation point flow towards a vertical plate in alumina-copper/water

Zainal

Naganthran

Pop

2022

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Purpose According to the previous research, bioconvection has been recognized as an important mechanism in current engineering and environmental systems. For example, researchers exploit this mechanism in modern green bioengineering to develop environmentally friendly fuels, fuel cells and photosynthetic microorganisms. This study aims to analyse how this type of convection affects the flow behaviour and heat transfer performance of mixed convection stagnation point flow in alumina-copper/water hybrid nanofluid. Also, the impact of a modified magnetic field on the boundary layer flow is considered. Design/methodology/approach By applying appropriate transformations, the multivariable differential equations are transformed into a specific sort of ordinary differential equations. Using the bvp4c procedure, the adjusted mathematical model is revealed. Once sufficient assumptions are provided, multiple solutions are able to be produced. Findings The skin friction coefficient is declined when the nanoparticle concentration is increased in the opposing flow. In contrast, the inclusion of aligned angles displays an upward trend in heat transfer performance. The presence of several solutions is established, which simply leads to a stability analysis, hence verifies the viability of the initial solution. Originality/value The current findings are unique and novel for the investigation of mixed bioconvection flow towards a vertical flat plate in a base fluid with the presence of hybrid nanoparticles.

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Axisymmetric flow of hybrid nanofluid due to a permeable non-linearly stretching/shrinking sheet with radiation effect

Cited by 20 publications

References 37 publications

Dual solutions of unsteady two-dimensional electro-magneto-hydrodynamics (EMHD) axisymmetric stagnation-point flow of a hybrid nanofluid past a radially stretching/shrinking Riga surface with radiation effect

Dual solutions of unsteady two-dimensional electro-magneto-hydrodynamics (EMHD) axisymmetric stagnation-point flow of a hybrid nanofluid past a radially stretching/shrinking Riga surface with radiation effect

Influence of carbon nanotube suspensions on Casson fluid flow over a permeable shrinking membrane: an analytical approach

Mixed bioconvection stagnation point flow towards a vertical plate in alumina-copper/water

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