Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Farooq, Umer; Lin, Zhifang

doi:10.1115/1.4025432

Cited by 30 publications

(23 citation statements)

References 23 publications

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“…They found enhancement in rate of solidification with increasing shape factor, even though there is a reduction in temperature. Several attempts of nanofluids under different aspects have been conducted [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] .…”

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confidence: 99%

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Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Bibi

2020

Sci Rep

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The purpose of present work is to explore the features of homogeneous-heterogeneous reactions in peristalsis flow of Carreau magneto hybrid nanofluid with copper and silver nanoparticles in a symmetric channel. The velocity slip condition and thermal radiation effect is also taken in the simplified model. Thermodynamic optimization aspect is discussed through the entropy generation analysis. The proposed mathematical systems are modified by using a lubrication approach and solved by a homotopy-based package-BVPh 2.0. The impacts of different involved parameters on flow characteristics, thermal characteristics, chemically reactive concentration and entropy generation are scrutinized through analytic results. It reveals that the fluid velocity decreases with the increasing values of the Weissenberg and the Hartman numbers. Characteristics of the Brinkman and the thermal radiation numbers are quite reverse for the heat transfer rate. In addition, entropy generation decreases with thermal radiation and Weissenberg number. The main outcome signifies that hybrid nanofluid is better thermal conductor as compared to the conventional nanofluid. Nomenclature V Velocity of the nanofluid B Magnetic field J Current density P Pressure T Temperature c p Heat capacity Wave length k Thermal conductivity 2a Width of the channel α Concentration of chemical species Ā β Concentration of chemical species B b Amplitude of the peristaltic wave k c Homogeneous reaction coefficient k s Heterogeneous reaction coefficient D A Diffusion coefficient of chemical species A D B Diffusion coefficient of chemical species B c p Specific heat at constant pressure Sc Schmidt number Re Reynold number M Hartman number

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confidence: 99%

“…https://doi.org/10.1038/s41598-020-68409-0 www.nature.com/scientificreports/ Under the assumptions of long wavelength ( δ = a/ ) and low Reynolds number, Eqs (21). and(22) are written in the forms: which is reduced, by eliminating the pressure terms, to Similarly, Eq.…”

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confidence: 99%

Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Bibi

2020

Sci Rep

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“…To facilitate the computation, the HAM-based Mathematica package, BVPh 2.0 developed by Zhao and Liao in 2013 has been employed. is package has recently been used successfully by many researchers like Farooq and Zhi-Liang [31]; Demir et al [32]; and Bano et al [33]. For details regarding use of the package, we recommend the readers to refer Zhao and Liao [34].…”

Section: (29)mentioning

confidence: 99%

Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids

Kebede

Haile

Awgichew

et al. 2020

Journal of Applied Mathematics

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In this paper, analytic approximation to the heat and mass transfer characteristics of a two-dimensional time-dependent flow of Williamson nanofluids over a permeable stretching sheet embedded in a porous medium has been presented by considering the effects of magnetic field, thermal radiation, and chemical reaction. The governing partial differential equations along with the boundary conditions were reduced to dimensionless forms by using suitable similarity transformation. The resulting system of ordinary differential equations with the corresponding boundary conditions was solved via the homotopy analysis method. The results of the study show that velocity, temperature, and concentration boundary layer thicknesses generally decrease as we move away from the surface of the stretching sheet and the Williamson parameter was found to retard the velocity but it enhances the temperature and concentration profiles near the surface. It was also found that increasing magnetic field strength, thermal radiation, or rate of chemical reaction speeds up the mass transfer but slows down the heat transfer rates in the boundary layer. The results of this study were compared with some previously published works under some restrictions, and they are found in excellent agreement.

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“…If all of them are so properly chosen the solutions (f k (η), θ k (η), φ k (η)) from (34-36) of high order deformation equations can be easily obtained by means of computation software Mathematica. The convergence of OHAM series solutions is checked by the total average squared residual error [6,33].…”

Section: Mathematical Formulationmentioning

confidence: 99%

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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Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Cited by 30 publications

References 23 publications

Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids

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

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