Parametric Analysis of Entropy Generation in Off-centered Stagnation Flow Towards a Rotating Disc

Rashidi, M. M.; Shamekhi, Leila; Kumar, Sunil

doi:10.1515/nleng-2013-0023

Cited by 7 publications

(5 citation statements)

References 32 publications

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“…Rashidi et al have been derived the entropy generation equation for the steady MHD flow due to a rotating porous disk in a nanofluid [48]. Also the entropy generation in off-centered stagnation flow towards a rotating disc has been analyzed parametrically by Rashidi et al [49].…”

Section: Introductionmentioning

confidence: 99%

Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM

Rashidi

Parsa

Bég

et al. 2014

Applied Bionics and Biomechanics

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The magneto-hemodynamic laminar viscous flow of a conducting physiological fluid in a semi-porous channel under a transverse magnetic field has been analyzed by the optimal Homotopy Analysis Method (OHAM) and Differential Transform Method (DTM) under physically realistic boundary conditions first. Then as the main purpose of this study the important designing subject, entropy generation of this system, has been analyzed. The influence of Hartmann number (Ha) and transpiration Reynolds number (mass transfer parameter, Re) on the fluid velocity profiles in the channel are studied in detail first. After finding the fluid velocity profiles, graphical results are presented to investigate effects of the Reynolds number, Hartmann number,x-velocity of the moving plate, suspension height and dimensionless horizontal coordinate on the entropy generation.

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Section: Introductionmentioning

confidence: 99%

Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM

Rashidi

Parsa

Bég

et al. 2014

Applied Bionics and Biomechanics

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“…Also, Rashidi et al (2014) extended the Wang (2008) problem by presenting a combination of the differential transformation method and the Padé approximants. Dinarvand (2010) applied the homotopy analysis method (HAM) to solve off-centered stagnation flow toward a spinning disk.…”

Section: Off-centered Stagnation Point Flowmentioning

confidence: 99%

“…An impressive semi-numerical method based on Bernstein polynomials for solving off-centered stagnation flow toward a spinning disk was introduced by Heydari et al (2015). Also, Rashidi et al (2014) extended the Wang (2008) problem by presenting a combination of the differential transformation method and the Padé approximants. Dinarvand (2010) applied the homotopy analysis method (HAM) to solve off-centered stagnation flow toward a spinning disk.…”

Section: Introductionmentioning

confidence: 99%

Off-centered stagnation point flow of an experimental-based hybrid nanofluid impinging to a spinning disk with low to high non-alignments

Dinarvand

Nejad

2021

HFF

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Purpose The purpose of this study is to model and solve numerically the three-dimensional off-centered stagnation point flow and heat transfer of magnesium oxide–silver/water hybrid nanofluid impinging to a spinning disk. Design/methodology/approach The applied effective thermophysical properties of hybrid nanofluid including thermal conductivity and dynamics viscosity are according to the reported experimental relations that would be expanded by a mass-based algorithm. The single phase formulations coupled with experimental-based hybrid nanofluid model is implemented to derive the governing partial differential equations which are then transferred to a set of dimensionless ordinary differential equations (ODEs) with the use of the similarity transformation method. Afterward, the reduced ODEs are solved numerically by bvp4c function from MATLAB that is a trustworthy and efficient code according to three-stage Lobatto IIIa formula. Findings The effect of spinning parameter and nanoparticles masses (mMgO, mAg) on the hydrodynamics and thermal boundary layers behavior and also the quantities of engineering interest are presented in tabular and graphical forms. The recent work demonstrates that the analysis of flow and heat transfer becomes more complicated when there is a non-alignment between the impinging flow and the disk axes. From computational results demonstrate that, the radial and azimuthal velocities are, respectively, the increasing and decreasing functions of the disk spinning parameter. Further, for the greater values of the spinning parameter, an overshoot of the radial velocity owing to the centrifugal forces of the spinning disk is observed. Besides, the quantities of engineering interest gently enhance with first and second nanoparticle masses, while comparing their absolute values illustrates the fact that the effect of second nanoparticle mass (mAg) is greater. Further, it is inferred that the second nanoparticle’s mass enhancement results in the amplification of the heat transfer; although, the high skin friction and the relevant shear stress should be controlled. Originality/value The combination of experimental thermophysical properties with theoretical modeling of the problem can be the novelty of the present work. It is evident that the experimental relations of effective thermophysical properties can be trustable and flexible in the theoretical/mathematical modeling of hybrid nanofluids flows. Besides, to the best of the authors’ knowledge, no one has ever attempted to study the present problem through a mass-based model for hybrid nanofluid.

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“…Nourbakhsh et al 19 solved the same problem by a semi‐exact method via HAM with two auxiliary parameters. Also, Rashidi et al 20 developed the Wang 15 problem by introducing a mixture of the differential transformation method and the Padé approximants. An efficient and accurate semi‐numerical scheme based on Bernstein polynomials for solving off‐centered stagnation flow toward a rotating disc presented by Heydari et al 21 Khan et al 22 used HAM to investigate the steady, incompressible, three‐dimensional stagnation point flow of a micropolar fluid over a permeable off‐centered infinite rotating disk in a porous medium considering Darcy's resistance for the micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

Zinc oxide–silver/water hybrid nanofluid flow toward an off‐centered rotating disk using temperature‐dependent experimental‐based thermal conductivity

et al. 2022

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Herein, the off‐centered stagnation flow and heat transfer of zinc oxide–silver/water hybrid nanofluid over a rotating disk according to the mass‐based algorithm is studied. It is assumed that the nanoparticles have a spherical shape. Also, the velocity slip between the base fluid and nanoparticles is negligible. The Prandtl number is kept constant at 6.2. In addition, it has been used an experimental relation for effective thermal conductivity which is a function of volume fraction and temperature. The governing partial differential equations are converted to dimensionless ordinary differential equation (ODE)s by the similarity transformation method. The simplified ODEs are solved numerically by the bvp4c function from MATLAB which is an efficient and reliable code according to the three‐stage Lobatto IIIa formula. The influence of rotational parameters and both nanoparticles masses on the profiles and quantities of engineering interest are presented and discussed in detail. It is shown that the flow becomes complicated when there is a distance between the flow axis and the disk axis. Under determined conditions for a hybrid nanofluid with 30‐g mass for both nanoparticles and 100‐g mass for pure water, adding 30 g of the second nanoparticle's mass into the base fluid leads to enhance all hydrodynamic quantities of engineering interest by about 4.3%, while dispersing 30 g of the first nanoparticle's mass inside water results in decreasing the similarity temperature gradient at the surface about 3.6%. Also, when the disk rotates faster, the maximum radial velocity near the disk, s′(0) and f″(0) increases.

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Parametric Analysis of Entropy Generation in Off-centered Stagnation Flow Towards a Rotating Disc

Cited by 7 publications

References 32 publications

Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM

Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM

Off-centered stagnation point flow of an experimental-based hybrid nanofluid impinging to a spinning disk with low to high non-alignments

Zinc oxide–silver/water hybrid nanofluid flow toward an off‐centered rotating disk using temperature‐dependent experimental‐based thermal conductivity

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