Laminar flow of a nanoliquid film over an unsteady stretching sheet

Narayana, Mahesha; Sibanda, Precious

doi:10.1016/j.ijheatmasstransfer.2012.07.054

Cited by 65 publications

(36 citation statements)

References 34 publications

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“…Figure 2(a) shows the influence of the Le on the local Sherwood number for U w (x) = x 1+x . It should be noticed that Sc ≈ 1 indicates that (13) and (11) coincide with each other. Similarly if we replace Sc by P r.Le in (13), it represents that relative heat and mass transfer by diffusion is comparable.…”

Section: Resultsmentioning

confidence: 97%

“…It should be noticed that Sc ≈ 1 indicates that (13) and (11) coincide with each other. Similarly if we replace Sc by P r.Le in (13), it represents that relative heat and mass transfer by diffusion is comparable. The increase in Le means a larger thermal diffusivity which is a result of higher thermal conductivity or low heat capacity.…”

Section: Resultsmentioning

confidence: 97%

“…Here the so-called homotopy analysis method (HAM) (for details see [6,31,32]) is used to provide a general approach to solve non-similarity boundary layer flows of nanofluids governed by PDE's (11)(12)(13) with boundary conditions (17). Its basic ideas and mathematical formulations are given in the Appendix.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Sure, the selection of base fluid particle combination depends upon the application for which the nanofluid is intended. In literature, the similar boundary layer flows of nanofluid have been analyzed under different aspects (see for instance [11][12][13][14][15][16][17][18][19][20][21][22][23]). …”

Section: Introductionmentioning

confidence: 99%

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Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces

et al. 2014

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In this paper the convergent series solutions for the non-similarity flow of viscous fluid with nanoparticles are given. Fundamental equations employed in the mathematical modelling include the novel aspects of Brownian motion and thermophoresis. Non-similarity flow is induced by a stretching sheet with arbitrary velocity. The so-called homotopy analysis method (HAM) is applied to gain the convergent series solutions of the nonlinear partial differential equation. It is noticed that flow field, temperature and nanoparticle volume fraction profile are greatly influenced by the physical parameters such as Prandtl number, Brownian motion parameter, thermophoresis parameter and Lewis number. To the best of our knowledge, the present analysis seems to be a first attempt to non-similarity boundary layer flows of viscous fluids with nanoparticles.

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Section: Resultsmentioning

confidence: 97%

Section: Resultsmentioning

confidence: 97%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces

et al. 2014

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“…Choi (1995) To the authors' best knowledge, very few studies have thus far been communicated with regard to thin film flow on an unsteady stretching sheet in nanofluids. Narayana and Sibanda (2012) were probably the first to extend the work of Liu and Andersson (2008) to the case of thin nanofluid film. They solved the transformed governing equations by the Runge-Kutta-Fehlberg and NewtonRaphson methods.…”

Section: Introductionmentioning

confidence: 99%

Flow and Heat Transfer in a Nanofluid Thin Film Over an Unsteady Stretching Sheet

Aziz¹,

Hashim²,

Abbasbandy³

2018

JSM

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Impact of Brownian motion and thermophoresis in magnetohydrodynamic dissipative: Radiative flow of chemically reactive nanoliquid thin films on an unsteady expandable sheet in a composite media

Pal,

Chatterjee

2024

Heat Trans

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This study comprehensively examines magnetohydrodynamic heat transport characteristics within a thin nanofluid film on a stretchable sheet embedded in a composite medium. By considering factors such as the unsteady nature of sheet velocity, Brownian motion, thermophoresis, thermally radiative heat, irregular heat generation/sink, chemical reactions, and dissipation due to viscous fluid, the research provides valuable insights into the variations in fluid velocity, temperature, and nanoparticles concentration. The computational solution utilizes the efficient numerical method that enables accurate predictions of system behavior under varying conditions. Notable findings include the influence of Schmidt numbers on nanoparticle concentration distribution, the opposing impact of thermophoresis parameter values, and the influence of Brownian motion and heat source/sink on temperature profiles in thin nanofluid film. Also, nanoliquid film thickness is reduced by enhancing the porous parameter values and Hartmann number values. The nanoliquid film becomes thinner when the space‐dependent heat source/sink parameter is considered compared to the temperature‐dependent heat source/sink coefficient. In space‐dependent and temperature‐dependent cases, the increase in these parameters leads to a decrease in the temperature gradient. Furthermore, it is observed that higher thermophoresis values correspond to reduced nanoparticle concentration gradient profiles. Also, enhancement in the chemical reaction values leads to an expansion in the solutal boundary region surrounding nanoparticles, and as a consequence, the concentration gradient of nanoparticles is enhanced. This research has significant potential for optimizing heat performance and advancing innovation in industrial and engineering processes.

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Laminar flow of a nanoliquid film over an unsteady stretching sheet

Cited by 65 publications

References 34 publications

Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces

Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces

Flow and Heat Transfer in a Nanofluid Thin Film Over an Unsteady Stretching Sheet

Impact of Brownian motion and thermophoresis in magnetohydrodynamic dissipative: Radiative flow of chemically reactive nanoliquid thin films on an unsteady expandable sheet in a composite media

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