Dual solutions for mixed convective stagnation-point flow of an aqueous silica–alumina hybrid nanofluid

Rostami, Mohammadreza Nademi; Dinarvand, Saeed; Pop, Ioan

doi:10.1016/j.cjph.2018.06.013

Cited by 214 publications

(101 citation statements)

References 37 publications

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“…Devi and Devi (2016a) and Devi (2017, 2016b) investigated on the boundary layer flow of hybrid Cu-Al 2 O 3 /water nanofluid numerically due to a stretching sheet. Nadeem et al (2018) explored the stagnation point flow of hybrid Cu-Al 2 O 3 / water nanofluid on a circular cylinder while Rostami et al (2018) Marangoni convection is generated due to the variations of surface tension gradients, either in the temperature, concentration or both gradients. Marangoni convection is extensively applied in welding (Bachmann et al 2016;Cui et al 2018;Kidess et al 2016), crystal growth (Minakuchi et al 2017;Timoveef et al 2015) and soap film stabilisation (Bournival et al 2017;Raza et al 2016).…”

Section: Introductionmentioning

confidence: 99%

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Khashi’ie¹,

Arifin²,

Pop³

et al. 2020

JSM

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The present study accentuates the Marangoni convection flow and heat transfer characteristics of a hybrid Cu-Al 2 O 3 / water nanofluid past a stretching/shrinking sheet. The presence of surface tension due to an imposed temperature gradient at the wall surface induces the thermal Marangoni convection. A suitable transformation is employed to convert the boundary layer flow and energy equations into a nonlinear set of ordinary (similarity) differential equations. The bvp4c solver in MATLAB software is utilized to solve the transformed system. The change in velocity and temperature, as well as the Nusselt number with the accretion of the dimensionless Marangoni, nanoparticles volume fraction and suction parameters, are discussed and manifested in the graph forms. The presence of two solutions for both stretching and shrinking flow cases are noticeable with the imposition of wall mass suction parameter. The adoption of stability analysis proves that the first solution is the real solution. Meanwhile, the heat transfer rate significantly augments with an upsurge of the Cu volume fraction (shrinking flow case) and Marangoni parameter (stretching flow case). Both Marangoni and Cu volume fraction parameters also can decelerate the boundary layer separation process.

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Section: Introductionmentioning

confidence: 99%

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Khashi’ie¹,

Arifin²,

Pop³

et al. 2020

JSM

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“…16 , Nademi Rostami et al . 17 , etc. These reviews illustrate in details, the preparation methods of nanofluids, theoretical and empirical findings of thermal conductivity and viscosity of nanofluids, and the mathematical formulation related to convective transport in nanofluids, while research ones study the analytic modeling of single-particle nanofluids or hybrid nanofluids in various complex geometries with the use of single-phase model.…”

Section: Introductionmentioning

confidence: 99%

A novel hybridity model for TiO2-CuO/water hybrid nanofluid flow over a static/moving wedge or corner

Dinarvand

Rostami

Pop

2019

Sci Rep

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114

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In this study, we are going to investigate semi-analytically the steady laminar incompressible two-dimensional boundary layer flow of a TiO2-CuO/water hybrid nanofluid over a static/moving wedge or corner that is called Falkner-Skan problem. A novel mass-based approach to one-phase hybrid nanofluid model that suggests both first and second nanoparticles as well as base fluid masses as the vital inputs to obtain the effective thermophysical properties of our hybrid nanofluid, has been presented. Other governing parameters are moving wedge/corner parameter (λ), Falkner-Skan power law parameter (m), shape factor parameter (n) and Prandtl number (Pr). The governing partial differential equations become dimensionless with help of similarity transformation method, so that we can solve them numerically using bvp4c built-in function by MATLAB. It is worthwhile to notice that, validation results exhibit an excellent agreement with already existing reports. Besides, it is shown that both hydrodynamic and thermal boundary layer thicknesses decrease with the second nanoparticle mass as well as Falkner-Skan power law parameter. Further, we understand our hybrid nanofluid has better thermal performance relative to its mono-nanofluid and base fluid, respectively. Moreover, a comparison between various values of nanoparticle shape factor and their effect on local heat transfer rate is presented. It is proven that the platelet shape of both particles (n1 = n2 = 5.7) leads to higher local Nusselt number in comparison with other shapes including sphere, brick and cylinder. Consequently, this algorithm can be applied to analyze the thermal performance of hybrid nanofluids in other different researches.

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“…Under all these assumptions, the coupled boundary layer and energy equations, including the boundary conditions are 12‐14,20,32

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0,

u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} = U_{e} false(x false) \frac{d U_{e} false(x false)}{d x} + \frac{μ_{normalh normaln normalf}}{ρ_{normalh normaln normalf}} \frac{\partial^{2} u}{\partial y^{2}} + \frac{g {(ρ β_{T})}_{h n f} false(T - T_{\infty} false)}{ρ_{normalh normaln normalf}} + \frac{π j_{0} M_{0}}{8 ρ_{h n f}} e^{- π y / p},

u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y} = {(\frac{k}{ρ C_{p}})}_{h n f} \frac{\partial^{2} T}{\partial y^{2}},

\begin{matrix} trueleft \\ v = V_{w}, u = 0, T = T_{w} (x) at y = 0, \\ u \to U_{e} (x), T \to T_{\infty} as \end{matrix}

…”

Section: Problem Formulationmentioning

confidence: 99%

“…Also, Khashi'ie et al 18 showed that the numerical values using both types of correlations were in accordance with percent relative error less than 1%. The flow analysis in the laminar boundary layer of hybrid nanofluids is not limited to the deformable flat plate but also to other surfaces as summarized in Table 1 17‐36 …”

Section: Introductionmentioning

confidence: 99%

Effect of suction on the stagnation point flow of hybrid nanofluid toward a permeable and vertical Riga plate

et al. 2020

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The application of appropriate wall mass suction (transpiration) has been reported as the key factor to generate steady solutions in the opposing flow (shrinking or opposing buoyancy). This study features the impact of the suction and mixed convection parameters in the stagnation point flow toward a permeable Riga plate. Due to the capability of hybrid nanofluids in enhancing the heat transfer performance, the combination of copper (Cu) and alumina (Al2O3) nanoparticles are used, including water as the base fluid. It appears that the dual solutions are potential in this problem with the negligence of the suction parameter. However, this transpiration effect is efficient in delaying the separation process of the hybrid nanofluid flow and enhancing the heat transfer rate. The heat transfer rate augments with the addition of ϕ 2 and S. The increment of heat transfer rate is reported between 34% and 39% when 30% of the suction parameter ( S = 0.3 ) is applied. Besides, the addition of the mixed convection parameter from the opposing to assisting flow enlarges the velocity profile while reduces the temperature profile. The reduction of temperature distribution with an upsurge of suction, mixed convection, and EMHD parameters implies the operating heat transfer process.

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Dual solutions for mixed convective stagnation-point flow of an aqueous silica–alumina hybrid nanofluid

Cited by 214 publications

References 37 publications

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

A novel hybridity model for TiO2-CuO/water hybrid nanofluid flow over a static/moving wedge or corner

Effect of suction on the stagnation point flow of hybrid nanofluid toward a permeable and vertical Riga plate

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