Numerical Solutions for a Nanofluid Past Over a Stretching Circular Cylinder With Non-Uniform Heat Source

Rasekh, Alireza; Ganji, D. D.; Tavakoli, S.

doi:10.5098/hmt.v3.4.3003

Cited by 16 publications

(11 citation statements)

References 24 publications

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“…The concentration profiles for different values of Nt (= Nb) are shown in Figure 8. Due to the dependency of the concentration on the temperature field, we expect that a higher thermophoresis would allow a deeper penetration of the concentration [29]. As a result, we can see from Figure 8 that the concentration increases as we increase both Nt and Nb.…”

Section: Resultsmentioning

confidence: 83%

The Magnetohydrodynamic Boundary Layer Flow of a Nanofluid past a Stretching/Shrinking Sheet with Slip Boundary Conditions

Mansur

Ishak²

2014

Journal of Applied Mathematics

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The magnetohydrodynamic (MHD) boundary layer flow of a nanofluid past a stretching/shrinking sheet with velocity, thermal, and solutal slip boundary conditions is studied. Numerical solutions to the governing equations were obtained using a shooting method. The skin friction coefficient and the local Sherwood number increase as the stretching/shrinking parameter increases. However, the local Nusselt number decreases with increasing the stretching/shrinking parameter. The range of the stretching/shrinking parameter for which the solution exists increases as the velocity slip parameter and the magnetic parameter increase. For the shrinking sheet, the skin friction coefficient increases as the velocity slip parameter and the magnetic parameter increase. For the stretching sheet, it decreases when the velocity slip parameter and the magnetic parameter increase. The local Nusselt number diminishes as the thermal slip parameter increases while the local Sherwood number decreases with increasing the solutal slip parameter. The local Nusselt number is lower for higher values of Lewis number, Brownian motion parameter, and thermophoresis parameter.

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Section: Resultsmentioning

confidence: 83%

The Magnetohydrodynamic Boundary Layer Flow of a Nanofluid past a Stretching/Shrinking Sheet with Slip Boundary Conditions

Mansur

Ishak²

2014

Journal of Applied Mathematics

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“…[7,9]. Increasing Brownian motion and thermophoresis parameters cause the thermal boundary layer to thicken, and thus decreasing the reduced Nusselt number [24]. Similarly, the reduced Nusselt number is lower for higher values of Le.…”

Section: Resultsmentioning

confidence: 88%

“…The descriptions of this method can be found in [24][25][26]. In this method, the solutions are obtained by setting different initial guesses for the values of f"(0), -θ'(0) and -β'(0).…”

Section: Resultsmentioning

confidence: 99%

Unsteady boundary layer flow and heat transfer over a stretching sheet with a convective boundary condition in a nanofluid

Mansur¹,

Ishak²

2014

AIP Conference Proceedings

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“…Energy content in the mean mixed convective flow of the base fluid at Ri of 0.5 is found to be maximum compared to that of nanofluids past a square cylinder [22]. Increasing the value of non-uniform heat generation/absorption parameter in boundary layer nanofluid flow leads to deterioration in heat transfer over a stretching circular cylinder [23]. Proper solutions at each time step were obtained reaching steady state using an unsteady free convective boundary layer flow of a nanofluid over a vertical cylinder with an explicit finite-difference scheme [24].…”

Section: Introductionmentioning

confidence: 91%

Performance Index in MHD Duct Nanofluid Flow Past a Bluff Body at High Re

ARJUN

Kumar

2017

SV-JME

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The quasi-two-dimensional Al 2 O 3 -water nanofluid magneto hydro-dynamics (MHD) flowing over a circular cylinder at higher Reynolds number has been modelled using Ansys FLUENT 15.0 in a rectangular duct to determine the viability of heat transfer enhancement. The effect of the numerical simulations on performance indices were analysed for the range of 1000 ≤ Re ≤ 3000 Reynolds numbers, 10 ≤ Ha ≤ 100 modified Hartmann numbers, 0.5 ≤ φ ≤ 2 nanoparticle volume concentrations, 0.1 ≤ β ≤ 0.4 blockage ratios, 1 ≤ γ ≤ 0.25 position ratios, 0.75 ≤ G/d ≤ 1.5 gap ratios and 0 ≤ d ≤ 10 distance downstream of cylinder along heated duct wall. The results are presented graphically and discussed quantitatively. Grid independence is achieved with the domain having 3 upstream and 20 downstream cylinder diameter distance lengths with element polynomial degree 7 with respect to mean drag coefficient and Strouhal number. Cylinder placement with gaps to the heated wall of diameters between 0.75 and 1.25 and 10 diameters downstream of cylinder performed best, achieving 117 % enhancement of the performance indices at Re = 3000, Ha = 20, φ = 2 %, β = 0.4, γ = 1 and G/d = 1. The performance indices were greater than one for all the cases tested, which indicates that the heat transfer enhancement for this flow is viable. The Nusselt number values of the present study were compared with the analytical and experimental data published earlier and found to be in perfect agreement validating the reliability of the present model. Highlights• A very high performance index enhancement is achieved, incorporating the impacts of Re, Ha and φ in rectangular duct flow. • A circular cylinder is used as bluff body in MHD nanofluid flow at higher Reynold numbers. • Ideal cylinder placement conditions of blockage, position and gap ratios are proposed. • Viable heat transfer enhancements analysed using numerical simulations and the resulting quasi-2D model predictions are validated.

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Numerical Solutions for a Nanofluid Past Over a Stretching Circular Cylinder With Non-Uniform Heat Source

Cited by 16 publications

References 24 publications

The Magnetohydrodynamic Boundary Layer Flow of a Nanofluid past a Stretching/Shrinking Sheet with Slip Boundary Conditions

The Magnetohydrodynamic Boundary Layer Flow of a Nanofluid past a Stretching/Shrinking Sheet with Slip Boundary Conditions

Unsteady boundary layer flow and heat transfer over a stretching sheet with a convective boundary condition in a nanofluid

Performance Index in MHD Duct Nanofluid Flow Past a Bluff Body at High Re

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