Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field

Sheikholeslami, M.; Gorji-Bandpy, M.; Ganji, D.D.; Soleimani, Soheil; Seyyedi, Seyyed Masoud

doi:10.1016/j.icheatmasstransfer.2012.07.026

Cited by 216 publications

(63 citation statements)

References 14 publications

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“…So, many new techniques have appeared in the open literature such as: variational iteration method (He, 2007a;Barari et al, 2011), homotopy perturbation method Saravi et al, 2013), homotopy analysis method (Liao, 2003;Khan et al, 2012)and some other methods Ghasempoor et al, 2102;Akbarzade and Khan, 2012;Alinia et al, 2011;Ganji, 2012;Torabi et al, 2012;Sheikholeslami et al, 2012a;2012b;Bayat et al, 2011;Rafieipour et al, 2012;Marinca and Herisanu, 2010;Salehi et al, 2012;Hamidi et al, 2012) The variational iteration method (VIM) and variational approach (VA) which were introduced by 2007a;2007b) are very powerful methods in solving non-linear differential equations and studying nonlinear vibration of beams. The Variational Approach which is also called He's variational approach, as well as the variational iteration method, was utilized here to obtain the analytical expression for the following model of nonlinear oscillations in the structural engineering problems:…”

Section: Introductionmentioning

confidence: 99%

Dynamic model of large amplitude vibration of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia

Nikkar

2014

Lat. Am. j. solids struct.

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In this paper, a mathematical model of large amplitude vibration of a uniform cantilever beam arising in the structural engineering is proposed. Two efficient and easy mathematical techniques called variational iteration method and He's variational approach are used to solve the governing differential equation of motion. To assess the accuracy of solutions, we compare the results with the Runge-Kutta 4th order. An excellent agreement of the approximate frequencies and periodic solutions with the numerical results and published results has been demonstrated. The results show that both methods can be easily extended to other nonlinear oscillations and it can be predicted that both methods can be found widely applicable in engineering and physics. The Structural engineering theory is based upon physical laws and empirical knowledge of the structural performance of different landscapes and materials. Many engineering structures can be modelled as a slender, flexible cantilever beam carrying a lumped mass with rotary inertia at an intermediate point along its span; hence they experience large-amplitude vibration (Wu, 2003;Herisanu and Marinca, 2010;Cveticanin and Kovacic, 2007;Hamdan and Shabaneh, 1997;Hamdan and Dado, 1997). Key wordsIn general, such problems are not amenable to exact treatment and approximate techniques must be resorted to. So, many new techniques have appeared in the open literature such as: variational iteration method (He, 2007a;Barari et al., 2011), homotopy perturbation method Saravi et al., 2013), homotopy analysis method (Liao, 2003;Khan et al., 2012)and some other methods Ghasempoor et al., 2102;Akbarzade and Khan, 2012;Alinia et al., 2011;Ganji, 2012;Torabi et al., 2012;

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Section: Introductionmentioning

confidence: 99%

Dynamic model of large amplitude vibration of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia

Nikkar

2014

Lat. Am. j. solids struct.

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“…Sheikholeslami [25] used a Lattice-Boltzmann numerical code to investigate magnetic nanofluid convection in annular gaps under buoyancy effects. Sheikholeslami and Ellahi [26] further studied the three dimensional natural convection of nanofluids under the effects of magnetic field.…”

Section: Accepted M Manuscriptmentioning

confidence: 99%

Mathematical model for ciliary-induced transport in MHD flow of Cu-H 2 O nanofluids with magnetic induction

Akbar

Tripathi

Khan

et al. 2017

Chinese Journal of Physics

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“…It is well known that addition of nanoparticles [38,39], magnetic field intensity [38][39][40] and obstacle [41] lead to a decrease in the stream function and heat transfer rate, so in this study, we aim to define and observe the combined effect of all above-mentioned features. On the other hand, nanoparticles higher conductivity, and obstacle temperature gradient are meant to increase the heat transfer rate.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of Cu-water nanofluid magneto-hydro-dynamics and heat transfer in a cavity containing a circular cylinder of different size and positions

Ahrara¹,

Djavareshkianb²,

Ataiyanc³

2017

IJHT

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In the present study, a nanofluid filled cavity with sinusoidal temperature boundary condition, under the influence of an inclined magnetic field is investigated numerically. The LBM method is applied to simulate the Cu-Water nanofluid flow around an average temperature circular cylinder. In this study, the different braking manners of the magnetic field and the obstacle are compared for different field intensities and directions and various obstacle sizes and positions. The flow and heat transfer behavior of the nanofluid were observed for different Rayleigh numbers (103-106), Hartmann numbers (0-90), nanoparticles' volume fraction (0-6 %), magnetic field direction = (0-90o) and obstacle aspect ratios (0.05, 0.1 and 0.2) and positions (0-8). The results indicated that the influence of nanoparticles for this geometry and boundary condition is highly dependent on the Rayleigh and Hartmann numbers. Also, it was shown that for lower Ra numbers, the obstacle with an aspect ratio of 0.1 presents better heat transfer rate; while for higher Ra numbers the obstacle size is much less important than its position.

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Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field

Cited by 216 publications

References 14 publications

Dynamic model of large amplitude vibration of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia

Dynamic model of large amplitude vibration of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia

Mathematical model for ciliary-induced transport in MHD flow of Cu-H 2 O nanofluids with magnetic induction

Numerical simulation of Cu-water nanofluid magneto-hydro-dynamics and heat transfer in a cavity containing a circular cylinder of different size and positions

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