Boundary Layer Flow and Heat Transfer of Al2O3-TiO2/Water Hybrid Nanofluid over a Permeable Moving Plate

Aladdin, Nur Adilah Liyana; Bachok, Norfifah

doi:10.3390/sym12071064

Cited by 26 publications

(20 citation statements)

References 33 publications

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“…There are many papers reported the stability analysis of the dual or two solutions (Wahid et al, [39][40][41], Bakar et al, [42][43][44], Aladdin et al, [45][46][47] and Khashi'ie et al, [48]), however, for the multiple solutions (more than two), only few of references are accessible like Waini et al, [49] and Yahaya et al, [50]. Following Merkin [51], Weidman et al, [52] and Harris et al, [53], the suitable transformation for the unsteadiness case:…”

Section: Stability Analysismentioning

confidence: 99%

Multiple Solutions and Stability Analysis of Magnetic Hybrid Nanofluid Flow Over a Rotating Disk with Heat Generation

Khashi’ie

Waini

Zainal

et al. 2023

ARFMTS

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This study highlights the hybrid Fe3O4-CoFe2O4/H2O ferrofluid flow and heat transfer with the effects of linear heat generation, magnetic field and suction on a rotating disk. Using the similarity transformation, the mathematical model is simplified and reduced to a similarity set of equations. The bvp4c solver is used for computational analysis as well as the stability analysis procedure. The present model is successfully validated with previous results, and also verified with the fulfillment of the asymptote profiles. Triple solutions are observed within a limited range of testing parameters. The flow progress of Fe3O4-CoFe2O4/H2O is reduced when some changes made by varying the magnetic and suction parameters while a reverse result is obtained for the third solution. Only the suction parameter boosts the thermal progress of Fe3O4-CoFe2O4/H2O. The stability analysis surprisingly shows that two of the solutions have positive smallest eigenvalues and align with the physical results.

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Section: Stability Analysismentioning

confidence: 99%

Multiple Solutions and Stability Analysis of Magnetic Hybrid Nanofluid Flow Over a Rotating Disk with Heat Generation

Khashi’ie

Waini

Zainal

et al. 2023

ARFMTS

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“…Furthermore, the used nanoparticles are supposed to have a standardized spherical shape. Based on the aforesaid considerations, the conservation equations of the present flow model are expressed in the steady‐state as 44,58 :

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

u \frac{\partial u}{\partial x} goodbreak+ v \frac{\partial u}{\partial y} goodbreak= \frac{μ_{italichnf}}{ρ_{italichnf}} \frac{\partial^{2} u}{\partial y^{2}},

u \frac{\partial T}{\partial x} goodbreak+ v \frac{\partial T}{\partial y} goodbreak= \frac{k_{italichnf}}{{((), ρ C_{P})}_{italichnf}} \frac{\partial^{2} T}{\partial y^{2}} goodbreak+ \frac{μ_{italichnf}}{{((), ρ C_{P})}_{italichnf}} {(\frac{\partial u}{\partial y})}^{2} goodbreak- \frac{1}{{((), ρ C_{P})}_{italichnf}} \frac{\partial q_{r}}{\partial y} .

…”

Section: Mathematical Modelingmentioning

confidence: 99%

Section: Mathematical Modelingmentioning

confidence: 99%

“…Lund et al 43 protracted the exertion of Waini et al 42 for the hybrid nanofluids by considering the thermal radiation parameter in the modified nanofluid model. Recently, Aladdin and Bachok 44 examined the hybrid nanofluid flow over a moving surface without considering the effect of viscous dissipation and thermal radiation. They concluded that duality exists in certain ranges of the moving parameter.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of water conveying copper and alumina nanomaterials when viscous dissipation and thermal radiation are significant: Single‐phase model with multiple solutions

Lund

Wakif

Omar

et al. 2022

Math Methods in App Sciences

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Because of thermal characteristics and the intention of improving heat transfer rate, the issue of hybrid nanofluid has become an intriguing subject for academicians and researchers in the contemporary technological period. This report presents the impacts of thermal radiation and viscous dissipation on the motion of the hybrid nanofluid of (Cu + Al2O3)‐H2O over a moving surface. The present flow model is simulated by a set of nonlinear partial differential equations (PDEs), which are converted into a system of ordinary differential equations (ODEs) by the appropriate similarity transformations. After that, the obtained ODEs are resolved numerically by bvp4c in MATLAB. The thermal radiation parameter has been shown to improve the rate of heat transfer and increase the temperature of the hybrid nanofluid (Cu + Al2O3)‐H2O. Moreover, two branches of solutions that depend on the stretching/shrinking parameter values are noticed. Furthermore, the stability results show that the upper branch can be used in practical applications, due to its stable nature.

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“…In view of above-stated constraints, the governing equations for hybrid nanofluids can be described in the form of continuity, momentum, and energy equations (modified from Aladdin and Bachok [ 38 ]):

…”

Section: Problem Description and Governing Equationsmentioning

confidence: 99%

Heat Transport during Colloidal Mixture of Water with Al2O3-SiO2 Nanoparticles within Porous Medium: Semi-Analytical Solutions

et al. 2022

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In recent years, energy consumption has become an essential aspect in the manufacturing industry, and low heat transfer is one of the obstacles that affect the quality of the final product. This situation can be managed by suspending nanoparticles into ordinary heat transferring fluid (the base fluid). This newly prepared colloidal suspension has better heat transport capabilities. Keeping such usage of nanofluids in mind, this research was performed to better understand the heat transport characteristics during flow analysis saturated in porous media subject to Al2O3-SiO2/water hybrid nanofluids. This flow problem was generated by a stretching/shrinking surface. The surface of the sheet was under the influence of mass suction and second-order partial slip. The boundary layer flow was formulated in a system of partial differential equations by utilizing basic conservation laws in conjunction with the Tiwari and Das nanofluid model. Then, the appropriate form of the similarity transformation was adapted to transform the model into a system of ordinary differential equations. The built-in function, i.e., the bvp4c function in the MATLAB software, solved the reduced form of the boundary layer model. The novelty of this study lay in the predicting of two different exact and numerical solutions for both the flow and temperature fields. The computed results showed that the medium porosity as well as the nanoparticle volume fraction widened the existence range of the dual solutions. In addition, the investigational output exposed the fact that the temperature fields were significantly enhanced by the higher nanoparticle volume fraction. Moreover, the outcomes of this study showed a superb correlation with existing works. The present results can be utilized in various branches of science and engineering such as the polymer industry and in the treatment of different diseases.

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Boundary Layer Flow and Heat Transfer of Al2O3-TiO2/Water Hybrid Nanofluid over a Permeable Moving Plate

Cited by 26 publications

References 33 publications

Multiple Solutions and Stability Analysis of Magnetic Hybrid Nanofluid Flow Over a Rotating Disk with Heat Generation

Multiple Solutions and Stability Analysis of Magnetic Hybrid Nanofluid Flow Over a Rotating Disk with Heat Generation

Dynamics of water conveying copper and alumina nanomaterials when viscous dissipation and thermal radiation are significant: Single‐phase model with multiple solutions

Heat Transport during Colloidal Mixture of Water with Al2O3-SiO2 Nanoparticles within Porous Medium: Semi-Analytical Solutions

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