Scrutiny of underdeveloped nanofluid MHD flow and heat conduction in a channel with porous walls

Fakour, M.; Ganji, D.D.; Abbasi, Morteza

doi:10.1016/j.csite.2014.10.003

Cited by 43 publications

(27 citation statements)

References 16 publications

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“…They discussed about the effects of many thermophysical parameters on the velocity, temperature, Nusselt number and entropy generation rates. The laminar fluid flow and heat transfer in channel with porous walls in the presence of a transverse magnetic field was investigated by Fakour et al [17]. They applied the Least Square Method (LSM) to solve governing equations.…”

Section: Introductionmentioning

confidence: 99%

Investigation of heat transfer for cooling turbine disks with a non-Newtonian fluid flow using DRA

Dogonchi

Ganji

2015

Case Studies in Thermal Engineering

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a b s t r a c tA non-Newtonian viscoelastic fluid flow passes through the porous wall of an axisymmetric channel on a turbine disc for cooling application. The present article solves the couple equations (momentum and heat transfer) of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall for turbine cooling applications by using the Duan-Rach Approach (DRA). The precious achievement of the present work is introducing a new and efficient approximate analytical technique that this method allows us to find a solution without using numerical methods to evaluate the undetermined coefficients. The approximate analytical investigation is carried out for different values of the embedding parameters namely: Reynolds number, Prandtl number, injection Reynolds number and power law index. The DRA results indicate that Nusselt number has direct relationship with Reynolds number, Prandtl number and power law index. Also the results were compared with numerical solution in order to verify the accuracy of the proposed method. It is seen that the current results in comparison with the numerical ones are in excellent agreement.

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Section: Introductionmentioning

confidence: 99%

Investigation of heat transfer for cooling turbine disks with a non-Newtonian fluid flow using DRA

Dogonchi

Ganji

2015

Case Studies in Thermal Engineering

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“…Experiments were also performed to understand the physical mechanisms behind the Jeffery-Hamel flow and its hydrodynamic stability features, see for instance Deshler [5],…”

Section: Introductionmentioning

confidence: 99%

“…It has important applications, particularly in fluid mechanics, chemical and aerospace engineering. A few precise applications are chemical vapor deposition reactors [3], high-current arc in plasma generators [4], expanding or contracting regions in industrial machines [5], gas compressors [6] and pipe sections [7]. Since Jeffery-Hamel flow constitutes one of rare exact solutions to the Navier Stokes equations, it has been much attracted by the researchers in the literature specifically for validating different numerical approaches.…”

Section: Introductionmentioning

confidence: 99%

Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels

Gerdroodbary

Takami

Ganji

2015

Case Studies in Thermal Engineering

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Investigation of thermal radiation on traditional Jeffery-Hamel flow to stretchable convergent/divergent channels, Case Studies in Thermal Engineering, http://dx.Abstract-In the present paper, the influence of thermal radiation on the classical JefferyHamel flow due to a point source or sink in convergent/divergent channels is investigated for the case where the stationary channel walls are permitted to stretch or shrink. Similarity transformations are used to convert the nonlinear boundary layer equations for momentum and thermal energy are reduced to a system of nonlinear ordinary differential equations containing the Prandtl number, angle of convergent/divergent, thermal radiation and Reynolds number with appropriate boundary conditions. These equations are solved analytically by applying integral methods (Collocation method and Least-Square method).Results show that the heat features are considerably altered by the application of the thermal radiation of the walls. The effects of various physical parameters on the dimensionless velocity and temperature profiles are presented graphically. In addition, numerical results for the local skin friction coefficient and the heat transfer rate are discussed. It is found that the temperature profiles increase with an increase in the thermal radiation parameter.

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“…They showed that the least square method was more accurate than di erential transformation method. In other analytical investigations, Fakour et al [6,7] employed the least square method to study ow eld and heat transfer in a porous channel in the presence of a transverse magnetic eld. The e ect of thermal radiation on ow eld and heat transfer in a thin liquid lm in a porous medium was investigated by Darzi et al [8] using the least square method.…”

Section: Introductionmentioning

confidence: 99%

Analytical study of Al2O3-Cu/water micropolar hybrid nanofluid in a porous channel with expanding/contracting walls in the presence of magnetic field

2017

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Abstract. Forced convection uid ow and heat transfer were investigated in a porous channel with expanding or contracting walls, which was lled with Al2O3-Cu/water micropolar hybrid nano uid in the presence of magnetic eld. In order to solve the governing equations analytically, the least square method was employed. The hot bottom wall was cooled by the coolant uid, which was injected into the channel from the top wall. The range of nanoparticles volume fraction (90% Al 2 O 3 and 10% Cu by volume) was between 0% and 2%. The e ects of consequential parameters such as Reynolds number, Hartmann number, micro rotation factor, and nanoparticles volume fraction on velocity and temperature pro les were examined. The results show that with increasing Reynolds number, the values of temperature and micro rotation pro les decrease. Furthermore, when the hybrid nano uid is used, compared to common nano uid, the heat transfer coe cient will increase signi cantly. It is also observed that when the Hartmann number increases, Nusselt number increases, too.

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Scrutiny of underdeveloped nanofluid MHD flow and heat conduction in a channel with porous walls

Cited by 43 publications

References 16 publications

Investigation of heat transfer for cooling turbine disks with a non-Newtonian fluid flow using DRA

Investigation of heat transfer for cooling turbine disks with a non-Newtonian fluid flow using DRA

Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels

Analytical study of Al2O3-Cu/water micropolar hybrid nanofluid in a porous channel with expanding/contracting walls in the presence of magnetic field

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