Stability Analysis of a Rotating Flow Toward a Shrinking Permeable Surface in Nanofluid

Salleh, Siti Nur Alwani; Bachok, Norfifah; Arifin, Norihan Md

doi:10.22452/mjs.sp2019no1.2

Cited by 5 publications

(7 citation statements)

References 16 publications

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“…A stability analysis was carried out to inspect the stability of the solutions in the long run. As stated by Merkin [37] and Harris et al [38], the upper branch is always stable, and this discovery is similar to the works made by Salleh et al [36], Mustafa et al [39], and Tshivhi and Makinde [40]. Hafeez et al [41] explored the MHD rotating flow in a hybrid nanofluid using a finite element method.…”

Section: Introductionsupporting

confidence: 62%

“…A permeable stretching/shrinking surface is vital in industrial applications since the surface may not be static such as polymer extrusion process, liquid crystal, and ceramic production [48]. Therefore, the present study aims to extend the work of Nadeem et al [34] and Salleh et al [36] by exploring the impact of rotation flow parameter, suction and nanoparticle volume fraction on the heat and mass transfer characteristics of carbon nanotubes (SWCNTs and MWCNTs) over a permeable stretching/shrinking surface in a nanofluid. Since no studies have considered this mathematical model with carbon nanotubes nanoparticles, the results obtained are genuine and can contribute to the development of this field.…”

Section: Introductionmentioning

confidence: 92%

“…According to the findings, as the rotating parameter and nanoparticle volume percentage grew, the heat transfer rate dropped. Later, Salleh et al [36] expanded the study by Nadeem et al [34] to a permeable shrinking surface and obtained dual solutions. A stability analysis was carried out to inspect the stability of the solutions in the long run.…”

Section: Introductionmentioning

confidence: 99%

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Rotating Flow in a Nanofluid with CNT Nanoparticles over a Stretching/Shrinking Surface

et al. 2021

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The steady three-dimensional rotating flow past a stretching/shrinking surface in water and kerosene-based nanofluids containing single and multi-walled carbon nanotubes (CNTs) is investigated. The governing equations are converted to similarity equations, and then numerically solved using MATLAB software. The impacts of rotational, suction, and nanoparticle volume fraction on the flow and the thermal fields, as well as velocity and temperature gradients at the surface, are represented graphically and are analyzed. Further, the friction factor and the heat transfer rate for different parameters are presented in tables. It is found that the heat transfer rate increases with increasing nanoparticle volume fraction as well as suction parameter in water and kerosene-based nanofluids of single and multi-walled CNTs. However, the increment in the rotating flow parameter decreases the rate of heat transfer. Multi-walled carbon nanotubes and kerosene-based nanofluid contribute to heat transfer rates better than single-walled carbon nanotubes and water-based nanofluid, respectively. A unique solution exists for the stretching surface, while two solutions are obtained for the shrinking surface. Further analysis of their stabilities shows that only one of them is stable over time.

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Section: Introductionsupporting

confidence: 62%

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Rotating Flow in a Nanofluid with CNT Nanoparticles over a Stretching/Shrinking Surface

et al. 2021

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“…The similarity solutions emerge from Equations ( 10) and (11) subject to the boundary conditions (12). Note that several studies related to stability analysis have been done by other researchers [32,[46][47][48][49]. The procedures used in this analysis are referred to from the work of Merkin [50], Weidman et al [51], and Harris et al [52].…”

Section: Stability Analysismentioning

confidence: 99%

Mixed Convection Stagnation Point Flow of a Hybrid Nanofluid Past a Permeable Flat Plate with Radiation Effect

2021

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This article focuses on the stagnation point flow of hybrid nanofluid towards a flat plate. The cases when the buoyancy forces and the flow are in the opposite direction and the same direction are discussed. The effect of radiation and suction is also taken into account. The similarity transformations are used to convert the partial differential equations into nonlinear ordinary differential equations. These equations are computed numerically via the bvp4c function in MATLAB software. A comparison with the previously published articles is carried out, where an outstanding agreement is observed. The dual solutions exist in the case of opposing flow (λ<0) and the suction parameter S>0.6688. Meanwhile, only unique solutions exist in the case of assisting flow (λ>0). The existence of dual solutions leads to stability analysis. From the analysis, the first solution is confirmed as a stable solution. Furthermore, the heat transmission rate increases, while the skin friction coefficient decreases as the radiation rate increases. An increase in the radiation rate from 0 (no radiation) to 1.0 increases the heat transmission rate by 5.01% for water, 4.96% for nanofluid, and 4.80% for hybrid nanofluid. Finally, it is worth mentioning that the present study yields new and original results. This study has also not been done by other researchers, indicating its novelty.

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“…He presumed that it is necessary to compute the stability of the solution if there exists more than one solution. Since the pioneering work of Merkin [31], most of the researchers have taken an opportunity to consider stability analysis in their studies [32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Flow and Wall Heat Transfer due to a Continuously Moving Slender Needle in Hybrid Nanofluid with Stability Analysis

Salleh

Bachok

Ali

et al. 2020

ARFMTS

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Present work deals with the numerical study of flow due to a continuously moving slender needle in a hybrid nanoliquid. The mathematical model of this work is developed in terms of nonlinear partial differential equations. By adopting the relevant similarity transformations, these equations are reduced to a system of nonlinear ordinary differential equations. Afterward, the solution is determined computationally via a bvp4c solver in MATLAB software. The influences of nanoparticle volume fraction, needle thickness and velocity ratio parameter on the rate of heat transfer, coefficient of skin friction, velocity as well as temperature distributions are illustrated in graphical form to describe the important features of the solution. The multiple solutions seem to appear when the needle opposes the free stream flow. It is revealed from the study that the composite (hybrid) nanoparticles augment the heat transfer rate between the flow and the needle in a certain domain of the velocity ratio parameter. The analysis of stability has proved that the upper branch solution represents stable flow, whereas the lower branch solution represents unstable flow.

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Stability Analysis of a Rotating Flow Toward a Shrinking Permeable Surface in Nanofluid

Cited by 5 publications

References 16 publications

Rotating Flow in a Nanofluid with CNT Nanoparticles over a Stretching/Shrinking Surface

Rotating Flow in a Nanofluid with CNT Nanoparticles over a Stretching/Shrinking Surface

Mixed Convection Stagnation Point Flow of a Hybrid Nanofluid Past a Permeable Flat Plate with Radiation Effect

Flow and Wall Heat Transfer due to a Continuously Moving Slender Needle in Hybrid Nanofluid with Stability Analysis

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