Free convection flow of some fractional nanofluids over a moving vertical plate with uniform heat flux and heat source

Azhar, Waqas Ali; Vieru, Dumitru; Fetecău, Constantin

doi:10.1063/1.4996034

Cited by 43 publications

(22 citation statements)

References 44 publications

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“…The [46] reported the same trend of the fractional parameter for a conventional nanofluid near a vertical plate via CFFO and integral transform. Table 2 that larger values of h n f φ enhance the capability of hybrid nanofluid to absorb more heat.…”

Section: Resultsmentioning

confidence: 55%

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Symmetric MHD Channel Flow of Nonlocal Fractional Model of BTF Containing Hybrid Nanoparticles

et al. 2020

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A nonlocal fractional model of Brinkman type fluid (BTF) containing a hybrid nanostructure was examined. The magnetohydrodynamic (MHD) flow of the hybrid nanofluid was studied using the fractional calculus approach. Hybridized silver (Ag) and Titanium dioxide (TiO2) nanoparticles were dissolved in base fluid water (H2O) to form a hybrid nanofluid. The MHD free convection flow of the nanofluid (Ag-TiO2-H2O) was considered in a microchannel (flow with a bounded domain). The BTF model was generalized using a nonlocal Caputo-Fabrizio fractional operator (CFFO) without a singular kernel of order α with effective thermophysical properties. The governing equations of the model were subjected to physical initial and boundary conditions. The exact solutions for the nonlocal fractional model without a singular kernel were developed via the fractional Laplace transform technique. The fractional solutions were reduced to local solutions by limiting α → 1 . To understand the rheological behavior of the fluid, the obtained solutions were numerically computed and plotted on various graphs. Finally, the influence of pertinent parameters was physically studied. It was found that the solutions were general, reliable, realistic and fixable. For the fractional parameter, the velocity and temperature profiles showed a decreasing trend for a constant time. By setting the values of the fractional parameter, excellent agreement between the theoretical and experimental results could be attained.

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Section: Resultsmentioning

confidence: 55%

“…Agreement could be established among theoretical and experimental data by setting the values of α in the manner established by Markis et al [45] while studying Maxwell fluid. Azhar et al [46] reported the same trend of the fractional parameter for a conventional nanofluid near a vertical plate via CFFO and integral transform.…”

Section: Resultsmentioning

confidence: 65%

Symmetric MHD Channel Flow of Nonlocal Fractional Model of BTF Containing Hybrid Nanoparticles

et al. 2020

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“…Jain ([17], p. 1-11) introduced a novel and powerful numerical scheme and implemented to different fractional order differential equations. Some other interesting and significant studies on fractional derivatives can be found in [18][19][20][21][22][23][24][25][26] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms

2019

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This article deals with the generalization of natural convection flow of Cu -Al 2 O 3 -H 2 O hybrid nanofluid in two infinite vertical parallel plates. To demonstrate the flow phenomena in two parallel plates of hybrid nanofluids, the Brinkman type fluid model together with the energy equation is considered. The Caputo-Fabrizio fractional derivative and the Laplace transform technique are used to developed exact analytical solutions for velocity and temperature profiles. The general solutions for velocity and temperature profiles are brought into light through numerical computation and graphical representation. The obtained results show that the velocity and temperature profiles show dual behaviors for 0 < α < 1 and 0 < β < 1 where α and β are the fractional parameters. It is noticed that, for a shorter time, the velocity and temperature distributions decrease with increasing values of the fractional parameters, whereas the trend reverses for a longer time. Moreover, it is found that the velocity and temperature profiles oppositely behave for the volume fraction of hybrid nanofluids. MSC: 34A08; 76R10

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“…The influence of heat generation from two vertical plates on the hydromagnetic convective flow of nanofluid was presented by Prakash and Suriyakumar (2017). For the study of the effect of the heat flux and heat source on free convection of nanofluid over an accelerated plate was analyzed by Azhar et al (2017). The analysis of the effect of Hall current on the convection in radiative magneto nanofluid is shown by Sharma et al (2017).…”

Section: Introductionmentioning

confidence: 99%

Natural Convection of Nanofluids Past an Accelerated Vertical Plate With Variable Wall Temperature by Presence of the Radiation

Sahim¹,

Astuti²,

Sri³

2019

Frontiers in Heat and Mass Transfer

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The natural convection of the nanofluids from a vertical accelerated plate in the presence of the radiation flux and magnetic field is observed in this study. Initially, the plate with a temperature higher than the temperature of nanofluids is at rest and then it accelerates moving upward and then the wall temperature decreases. The governing unsteady equations are solved by the explicit method based on the forward finite difference. Three different types of water-based nanofluids containing copper Cu, aluminum oxide Al 2 O 3 and titanium dioxide TiO 2 are taken into consideration. The hydrodynamic and thermal performance of the nanofluids is calculated. The results of the computation show that the velocity profiles are influenced by the type of the nanofluids, Grashof number, radiation parameter, magnetic field and volume fraction of nanoparticles. The shear stress profiles of the nanofluid Cu-water has the lowest values. The temperature distributions are very slightly different for the same volume fraction for all nanofluids. The heat transfer from plate to the nanofluids is influenced by radiation parameter, volume fraction and Prandtl number. This study is a model of the cooling system in engineering applications.

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Free convection flow of some fractional nanofluids over a moving vertical plate with uniform heat flux and heat source

Cited by 43 publications

References 44 publications

Symmetric MHD Channel Flow of Nonlocal Fractional Model of BTF Containing Hybrid Nanoparticles

Symmetric MHD Channel Flow of Nonlocal Fractional Model of BTF Containing Hybrid Nanoparticles

Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms

Natural Convection of Nanofluids Past an Accelerated Vertical Plate With Variable Wall Temperature by Presence of the Radiation

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