Heat conduction analysis of multi-layered FGMs considering the finite heat wave speed

Rahideh, H.; Malekzadeh, P.; Haghighi, M. R. Golbahar

doi:10.1016/j.enconman.2011.09.020

Cited by 31 publications

(11 citation statements)

References 17 publications

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“…to , DQM is applied. This method primarily proposed by Karami et al., is widely used in solving transport phenomena problems . Recently, Mofarahi et al .…”

Section: Problem Formulationmentioning

confidence: 99%

“…This method primarily proposed by Karami et al, 59 is widely used in solving transport phenomena problems. 60,61 Recently, Mofarahi et al 62 applied this method to numerically simulate a nanofluid flow over a rotating disk. 62 They observed that compared with other numerical methods, for example, finite difference (FDM) and orthogonal collocation (OCM), DQM converges faster with fewer calculation points.…”

Section: Numerical Solutionmentioning

confidence: 99%

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A numerical investigation on the heat and fluid flow of various nanofluids on a stretching sheet

Makarem

Bakhtyari

Rahimpour

2017

Heat Trans. Asian Res.

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Following the necessity of investigating fluid flow and heat transfer in the stretching sheet problem and effect of nanofluids on them, performance of various nanofluids were investigated in the present study. Three base fluids (deionized water, ethylene glycol, and engine oil) in combination with 18 nanoparticles (metals and their oxides) were investigated. While experimental methods are preferable, a mathematical model was developed and solved by applying differential quadrature method due to lack of such experimental data. With the results obtained in the real dimensions, the error caused by the cancellation of the viscosity effect due to the dimensionless variables was omitted. Effects of magnetic field and volume fraction of nanoparticle on the fluid flow and heat transfer characteristics were investigated. Highest heat transfer rate as well as small amounts of shear stress was obtained for deionized water–Al and deionized water–Mg nanofluids. Increasing volume fraction of nanoparticle was observed to increase both heat transfer and shear stress rates, while presence of a magnetic field caused an increase in shear stress and decrease in heat transfer rate.

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“…to , DQM is applied. This method primarily proposed by Karami et al., is widely used in solving transport phenomena problems . Recently, Mofarahi et al .…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Numerical Solutionmentioning

confidence: 99%

A numerical investigation on the heat and fluid flow of various nanofluids on a stretching sheet

Makarem

Bakhtyari

Rahimpour

2017

Heat Trans. Asian Res.

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show abstract

“…A new differential quadrature methodology for beam analysis has been described by Karami and colleagues . In this method no polynomial is needed for approximation of points and any number of points can easily be used with a zero to one root distribution such as a cosine distribution . These methods are compared to ensure that the numerical modeling is accurate, fast and doesn't depend on the techniques used, which may lead to false diffusion.…”

Section: Mathematical Modelmentioning

confidence: 99%

Numerical Modeling of Fluid Flow and Thermal Behavior of Different Nanofluids on a Rotating Disk

Mofarahi

Makarem

Jowkar

et al. 2014

Heat Trans. Asian Res.

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The thermal and velocity profiles of various nanofluid systems on a rotating disk are simulated. Finite difference method, the orthogonal collocation method, and the differential quadrature method (DQM) of numerical approaches are used to solve the governing equations and are compared to determine the faster and more accurate solution procedure. Five nanoparticles Al, Al2O3, Cu, CuO, and TiO2 solved in three base fluids water, ethylene glycol, and engine oil are considered to be used on the disk at different volume fractions. A new general algorithm is presented for solving equations of a rotating‐disk problem quickly and accurately and it is found that the DQM method is the best approach for this numerical simulation. Heat transfer performance of a rotating disk would be much better enhanced with water based Al nanofluid. A wide range of results for different base–fluid combinations with nanoparticles is presented with untransformed 3D results and effects of the variation of different parameters provides comprehensive insight and prevents inaccurate deductions.

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“…Graded materials are inhomogeneous materials, layered or continuous, which are increasingly used in technology, in such a way that the change of a material property with temperature may be compensated by its change with composition, in order to achieve optimization of some process [1][2][3][4][5][6][7][8]. A usual example is the alloy Si x Ge 1−x , which has been much studied in semiconductor physics to engineer heat or current transport [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

A thermodynamic model for heat transport and thermal wave propagation in graded systems

Jou

Carlomagno

Cimmelli

2015

Physica E: Low-dimensional Systems and Nanostructures

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Heat conduction analysis of multi-layered FGMs considering the finite heat wave speed

Cited by 31 publications

References 17 publications

A numerical investigation on the heat and fluid flow of various nanofluids on a stretching sheet

A numerical investigation on the heat and fluid flow of various nanofluids on a stretching sheet

Numerical Modeling of Fluid Flow and Thermal Behavior of Different Nanofluids on a Rotating Disk

A thermodynamic model for heat transport and thermal wave propagation in graded systems

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