Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation

Mohamed, Muhammad Khairul Anuar; Noar, Nor Aida Zuraimi Md; Salleh, Mohd Zuki; Ishak, Anuar Mohd

doi:10.18869/acadpub.jafm.68.236.25247

Cited by 14 publications

(21 citation statements)

References 40 publications

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“…Saritha et al [15] performed the heat transfer analysis of boundary layer flow of power law fluid with viscous dissipation. Mohamed et al [16] numerically studied the effects of viscous dissipation on a flow of nanofluid over a moving flat plate. Some recent studies on the heat transfer analysis with and without viscous dissipation effects are reported in [17][18][19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Rosseland thermal radiation and energy dissipation effects on entropy generation in CNTs suspended nanofluids flow over a thin needle

et al. 2018

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In this paper, we examine thermal radiation effect of the nonlinear form on the dissipative nanofluids containing carbon nanotubes past a moving horizontal thin needle. We also perform a second law analysis with viscous dissipation. Single-wall carbon nanotube and multiple-wall carbon nanotube drop in H 2 O base fluid. Introducing suitable dimensionless variables, we reduce the governing equations to self-similar nonlinear differential equations. Matlab in-built boundary value solver bvp4c and shooting method are applied for the solution of the reduced set of self-similar differential equations. The numerical results thus obtained are compared, which agree well with respect to desired accuracy. Various graphs are depicted and illustrate qualitatively the influence of flow controlling parameters such as Eckert number, heating parameter, radiation parameters, nanoparticles solid volume fraction, and size of thin needle on entropy generation, temperature distribution, and Bejan number.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Rosseland thermal radiation and energy dissipation effects on entropy generation in CNTs suspended nanofluids flow over a thin needle

et al. 2018

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“…Brownian motion Nb and thermophoresis parameter Nt are tackled over the temperature profile. For validation purposes, the comparison among the present study with the earlier publications reported by Roşca and Pop [10] and Mohamed et al [11] is carried out for several values of Pr , i.e. Pr 0.7, 0.8, 1, 5, 10  .…”

Section: Resultsmentioning

confidence: 90%

“…Apparently, the numerical values in table 1 are excellently closed to each other; hence, the numerical code utilised throughout this study is concluded to effectually solve the current problem. Referring to Mohamed et al [11,16], Pr 7  is used for the current numerical simulations as it represents water that usually acts as the base fluid for nanofluid.…”

Section: Resultsmentioning

confidence: 99%

“…Using the Buongiorno model, Roşca and Pop [10] examined the parameters of Brownian motion and thermophoresis diffusion from a moving surface in an external uniform free stream. The influence of viscous dissipation in a nanofluid towards a moving plate was studied by Mohamed et al [11]. Their study has exposed that the moving effect had strongly reduced the temperature profile along with nanoparticle volume fraction.…”

Section: Introductionmentioning

confidence: 99%

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Boundary layer flow over a moving plate in MHD Jeffrey nanofluid: A revised model

Zokri¹,

Arifin

Kasim

et al. 2018

MATEC Web Conf.

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The flow and heat transfer of magnetohydrodynamic (MHD) Jeffrey nanofluid induced by a moving plate is examined numerically. The formulation is established by using the revised model of passively controlled boundary layer instead of actively, which is more realistic physically. The similarity transformation variables are used to transform the partial differential equations into a set of ordinary differential equations before solving it via numerical approach called as the Runge-Kutta Fehlberg method. Graphical representation of the physical parameters over the temperature profile is deliberated. Temperature profile is slowed down due to the parameters of Deborah number and plate velocity while the reverse trend is observed for thermophoresis diffusion parameter. The Brownian motion has shown an insignificant outcome on the temperature profile. A comparison with the earlier publication has been conducted and a perfect agreement between the data is detected.

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“…They concluded that the rate of heat transfer decreased and mass transfer rate increased with increasing viscous dissipation parameter

true(E c true)

. Mohamed et al showed that with the increase in Ec , the thermal boundary layer thickness also increased in the study of boundary layer flow over a moving plate with the presence of viscous dissipation and constant wall temperature for nanofluids. Vajravelu et al studied the effects of surface mass transfer and thermal radiation on the flow field generated by a shrinking sheet in the presence of viscous dissipation and radiation.…”

Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation on finding dual solutions for mixed convection boundary layer flow for nanofluid

Maji

Sahu

2019

Heat Trans. Asian Res.

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The effect of viscous dissipation on mixed convection boundary layer flow for Ag‐water nanofluid under steady‐state condition has been studied numerically for both the buoyancy assisting and opposing flows over a vertical semi‐infinite flat plate. A new co‐ordinate system true(ξ,ηtrue) has been introduced to transform the governing partial differential equations (PDEs) to facilitate the numerical calculations. Then, the local similarity method has been used for approximating the transformed PDEs to ordinary differential equations. Further, the quasi‐linearization method has been introduced to linearize the nonlinear equations and then numerical integration has been carried out using implicit trapezoidal rule along with the principle of superposition. For higher Pr, the coupled differential equations behave like stiff differential equations. To overcome the situation, orthonormalization process has been introduced. The effects of solid volume fraction of nanoparticles true(φtrue), the mixed convection parameter true(λtrue), Prandtl number true(Prtrue), and Eckart number true(Ectrue) have been analyzed on the heat transfer and flow characteristics. It has been observed that the dual solutions are obtained for buoyancy opposing flow only and the range of dual solutions have become wider with the increases in φ. Further, nanofluids enhance the heat transfer process as compared to conventional heat transfer fluids true(φ=0true). Moreover, the addition of viscous dissipation causes less heat transfer in the boundary.

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Mathematical Model of Boundary Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation

Cited by 14 publications

References 40 publications

Nonlinear Rosseland thermal radiation and energy dissipation effects on entropy generation in CNTs suspended nanofluids flow over a thin needle

Nonlinear Rosseland thermal radiation and energy dissipation effects on entropy generation in CNTs suspended nanofluids flow over a thin needle

Boundary layer flow over a moving plate in MHD Jeffrey nanofluid: A revised model

Effect of viscous dissipation on finding dual solutions for mixed convection boundary layer flow for nanofluid

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