Rotating Flow Over a Shrinking Sheet in Nanofluid Using Buongiorno Model and Thermophysical Properties of Nanoliquids

Bakar, Nor Ashikin Abu; Bachok, Norfifah; Arifin, Norihan Md

doi:10.1166/jon.2017.1414

Cited by 5 publications

(6 citation statements)

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“…The rotating flow in fluids has also been studied extensively in the past several years. The rotating flow over a stretching sheet is significant in several manufacturing processes, such as the extrusion of plastic sheets, glass blowing, fiber spinning, and continuous molding [23]. Usoicz [24] studied a physical-statistical model that provided highly accurate predictions of the thermal conductivity of nanofluids.…”

Section: Introductionmentioning

confidence: 99%

Statistical Modeling for Nanofluid Flow: A Stretching Sheet with Thermophysical Property Data

Jedi

Shamsudeen

Razali

et al. 2020

Colloids and Interfaces

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This paper reports the use of a numerical solution of nanofluid flow. The boundary layer flow over a stretching sheet in combination of two nanofluids models is studied. The partial differential equation that governs this model was transformed into a nonlinear ordinary differential equation by using similarity variables, and the numerical results were obtained by applying the shooting technique. Copper (Cu) nanoparticles (water-based fluid) were used in this study. This paper presents and discusses all numerical results, including those for the local Sherwood number and the local Nusselt number. Additionally, the effects of the nanoparticle volume fraction, Brownian motion Nb, and thermophoresis Nt on the performance of heat transfer are discussed. The results show that the stretching sheet has a unique solution: as the nanoparticle volume fraction φ (φ = 0), Nt (Nt = 0.1), and Nb decrease, the rate of heat transfer increases. Furthermore, as φ (φ = 0) and Nb decrease, the rate of mass transfer increases. The data of the Nusselt and Sherwood numbers were tested using different statistical distributions, and it is found that both datasets fit the Weibull distribution for different values of Nt and rotating φ.

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Section: Introductionmentioning

confidence: 99%

Statistical Modeling for Nanofluid Flow: A Stretching Sheet with Thermophysical Property Data

Jedi

Shamsudeen

Razali

et al. 2020

Colloids and Interfaces

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“…Using the shooting method, we solved ordinary differential system Equations (8) to (10) subject to boundary conditions (11). This method is stated by Torrance and Jaluria in their book [24] and has been applied extensively in the present work; see Salleh et al [25]. Using this method, dual solutions were obtained by employing various initial guesses for unknown values of the reduced local Nusselt number −θ (0), reduced local Sherwood number −φ (0), and reduced skin friction coefficient f (0), where the infinity boundary conditions are satisfied by all the temperature, velocity, and nanoparticle concentrations (11) asymptotically but with different boundary layer thicknesses and shapes.…”

Section: Resultsmentioning

confidence: 96%

“…Moreover, in finding dual solutions, this study needs to consider a permeable surface where the suction is presented to allow the movement of nanoparticles and fluid. By considering the nanofluid model of Buongiorno [25], we assume that the nanofluid's relative motion is caused by Brownian motion and thermophoresis but only in the case of general nanoparticles and fluid base; i.e., size, nature, concentration.…”

Section: Problem Formulationmentioning

confidence: 99%

“…This has been used in photonics, transportation, and electronics [15][16][17][18][19]. Nanoparticles in a base fluid are found to have better convective heat transfer coefficients and thermal conductivity than with the base fluid [20][21][22][23][24][25][26][27][28]. Based on these observations, the objective of this study is to analyze the effect of the thermal radiation, viscous dissipation, and thermal convective boundary condition on the flow of nanofluids over a nonlinear stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

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Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation

et al. 2019

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In this study, the heat and mass transfer characteristics of nanofluid flow over a nonlinearly stretching sheet are investigated. The important effects of axisymmetric of thermal conductivity and viscous dissipation have been included in the model of nanofluids. The Buongiorno model is considered to solve the nanofluid boundary layer problem. The governing nonlinear partial differential equations have been transformed into a system of ordinary differential equations and are solved numerically via the shooting technique. The validity of this method was verified by comparison with previous work performed for nanofluids without the effects of the magnetic field and viscous dissipation. The analytical investigation is carried out for different governing parameters, namely, the Brownian motion parameter, thermophoresis parameter, magnetic parameter, Biot number, and Eckert number. The results indicate that the skin friction coefficient has a direct relationship with the Brownian motion number and thermophoresis number. Moreover, it can be seen that the Nusselt number decreases with the increase of the magnetic parameter and Eckert number.

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“…In addition, research works on the zero nanoparticles flux condition were also considered by Rehman et al [20], Rahman et al [21], Uddin et al [22], ur Rahman et al [23] and Jusoh et al [24]. Furthermore, studies on the boundary layer problem utilizing Buongiorno's model of nanofluid were also conducted by these researchers [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

A Stability Analysis for Magnetohydrodynamics Stagnation Point Flow with Zero Nanoparticles Flux Condition and Anisotropic Slip

et al. 2019

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The numerical study of nanofluid stagnation point flow coupled with heat and mass transfer on a moving sheet with bi-directional slip velocities is emphasized. A magnetic field is considered normal to the moving sheet. Buongiorno’s model is utilized to assimilate the mixed effects of thermophoresis and Brownian motion due to the nanoparticles. Zero nanoparticles’ flux condition at the surface is employed, which indicates that the nanoparticles’ fraction are passively controlled. This condition makes the model more practical for certain engineering applications. The continuity, momentum, energy and concentration equations are transformed into a set of nonlinear ordinary (similarity) differential equations. Using bvp4c code in MATLAB software, the similarity solutions are graphically demonstrated for considerable parameters such as thermophoresis, Brownian motion and slips on the velocity, nanoparticles volume fraction and temperature profiles. The rate of heat transfer is reduced with the intensification of the anisotropic slip (difference of two-directional slip velocities) and the thermophoresis parameter, while the opposite result is obtained for the mass transfer rate. The study also revealed the existence of non-unique solutions on all the profiles, but, surprisingly, dual solutions exist boundlessly for any positive value of the control parameters. A stability analysis is implemented to assert the reliability and acceptability of the first solution as the physical solution.

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Rotating Flow Over a Shrinking Sheet in Nanofluid Using Buongiorno Model and Thermophysical Properties of Nanoliquids

Cited by 5 publications

References 0 publications

Statistical Modeling for Nanofluid Flow: A Stretching Sheet with Thermophysical Property Data

Statistical Modeling for Nanofluid Flow: A Stretching Sheet with Thermophysical Property Data

Statistical Criteria of Nanofluid Flows over a Stretching Sheet with the Effects of Magnetic Field and Viscous Dissipation

A Stability Analysis for Magnetohydrodynamics Stagnation Point Flow with Zero Nanoparticles Flux Condition and Anisotropic Slip

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