Gear-generalized differential quadrature analysis of oscillatory convective Taylor-Couette flows of second-grade fluids subject to Lorentz and Darcy-Forchheimer quadratic drag forces

Xia, Wei Feng; Animasaun, I.L.; Wakif, Abderrahim; Yook, Se-Jin

doi:10.1016/j.icheatmasstransfer.2021.105395

Cited by 62 publications

(26 citation statements)

References 32 publications

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“…In order to obtain the graphical results of heat transfer Nu and the friction drag C f , some appropriate values are assigned to the parameters arising from several of the above effects such as the Hartmann number M, the aligned magnetic field angle β, the local Darcy number D, the unsteadiness P, the radiation parameter Rd, the Prandtl number Pr, the heat source parameter Q, the suction parameter S, the stretching parameter γ, the velocity slip parameter λ 2 , the Biot number Bi, and the nanoparticles concentration φ. This result could lead us to the fact that the features of a porous medium associated with intensity of exterior magnetic field can show an opposite effect against the fluid velocity as stated by [42]. Furthermore, the growth of λ 2 values diminishes the plot of C f for both solutions.…”

Section: Analysis Of Resultsmentioning

confidence: 91%

“…Figures 2-4 represents the influence of C f which are, respectively, plotted in the light of different values of D, λ 2 , and β along a stretching/shrinking surface. It clearly seems that the escalation of D and β escalates only the first solution plot of C f , and for the plot of the second solution of C f , reverse phenomenon is detected.This result could lead us to the fact that the features of a porous medium associated with intensity of exterior magnetic field can show an opposite effect against the fluid velocity as stated by[42]. Furthermore, the growth of λ 2 values diminishes the plot of C f for both solutions.…”

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confidence: 92%

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Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

et al. 2021

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The suspension of tiny solid particles inside the energy transport liquids could enhance their thermal conductivity as well as provide an efficient and inventive approach to significantly improve their properties of heat transport. Therefore, our aim is to explore the radiative two-dimensional unsteady flow of a viscous nanofluid about an aligned magnetic field that includes the joint effect of suction, velocity slip, and heat source across a porous convective stretching/shrinking surface. Initially, using non-dimensional variables, the nonlinear governing partial differential equations (PDEs) were transformed into ordinary differential equations (ODEs) which were subsequently solved with the help of bvp4c built-in package in MATLAB. The results declare that escalating the values of the unsteadiness parameter escalates the friction drag whereas it reduces with the escalation of the slip parameter. Furthermore, the heat transfer rate escalates with the escalation of radiation and concentration parameter, and the escalation of the heat source parameter causes to reduce the heat transfer rate. Finally, it is found that the rate of heat transfer and friction drag continuously improve and decline against the rising rates of stretching, respectively.

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Section: Analysis Of Resultsmentioning

confidence: 91%

mentioning

confidence: 92%

Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

et al. 2021

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“…Hence, to attain this objective, the differential system

(S)

of Equation (19) can be solved by discretizing its ODEs spatially via a nonuniform distribution of

N

grid points along with an efficient generalized differential quadrature method (GDQM) as proposed by Shu 40 . In this respect, it is more useful to employ the Gauss–Lobatto grid points defined by 41–45 :

\left\{{\xi }_{i}=\frac{1}{2}-\frac{1}{2}\cos \left(\frac{\pi i-\pi }{N-1}\right),\unicode{x02007}\text{where\unicode{x02007}1}\le i\le N\right\}.

…”

Section: Gdqm Solution Methodology and Numerical Authentificationmentioning

confidence: 99%

“…Hence, to attain this objective, the differential system S ( ) of Equation ( 19) can be solved by discretizing its ODEs spatially via a nonuniform distribution of N grid points along with an efficient generalized differential quadrature method (GDQM) as proposed by Shu. 40 In this respect, it is more useful to employ the Gauss-Lobatto grid points defined by [41][42][43][44][45] :…”

Section: Numentioning

confidence: 99%

Generalized differential quadrature analysis of MHD mixed convective motion of Casson fluids past an isothermal irregular slender geometry via Cattaneo–Christov's approach

Hamad

2022

Heat Trans

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Classical Fourier's theory is well-known in continuum physics and thermal sciences. However, the primary drawback of this law is that it contradicts the principle of causality. To explore the thermal relaxation time characteristic, Cattaneo-Christov's theory is adopted thermally. In this regard, the features of magnetohydrodynamic (MHD) mixed convective flows of Casson fluids over an impermeable irregular sheet are revealed numerically. In addition, the resulting system of partial differential equations is altered via practical transformations into nonlinear ordinary differential equations. An advanced numerical algorithm is developed in this respect to get higher approximations for temperature and velocity fields, as well as their corresponding wall gradients. For validating our numerical code, the current outcomes are compared with the available literature results. Moreover, it is revealed that the velocity field is more prominent in the suction flow situation as compared with the injection flow case. It is also found that the Casson fluid is hastened in the case of lower yield stress. Larger values of thermal relaxation parameters create a lessening trend in the temperature distribution and its related boundary layer breadth.

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“…Numerous scientists [15][16][17] have elaborated on non-Newtonian under different environments. Numerous researchers in similar fields have shown the usefulness of nanofluid flow in various situations [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Significance of the Coriolis Force on the Dynamics of Carreau–Yasuda Rotating Nanofluid Subject to Darcy–Forchheimer and Gyrotactic Microorganisms

Ahmad

Ali

et al. 2022

Mathematics

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In this study, the significance of the Coriolis force on the dynamics of Carreau–-Yasuda flow toward a continuously stretched surface subject to the Darcy–Forchheimer law is investigated. The nanoparticles are incorporated due to their unusual characteristics (e.g., extraordinary thermal conductivity), which are significant in heat exchangers and advanced nanotechnology. To avoid possible sedimentation of tiny particles, the gyrotactic microorganisms must be incorporated. The goal of this research was to find out the dynamics of three-dimensional rotational flow for nanofluids under the influence of Darcy–Forchheimer with the thermophoresis effect and motile microorganisms. The equations governing mass, momentum, and energy equations are formalized using partial derivatives, which may subsequently be transformed into dimensionless differential shapes using the personifications of apposite similarity transformations. The MATLAB application bvp4c was used in conjunction with a shooting technique to solve a nonlinear mathematical model based on ordinary differential equations. It was observed that the base fluid velocities decreased against higher input of rotation and porosity parameters; moreover, the Brownian motion and thermophoresis increased the temperature profile.

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Gear-generalized differential quadrature analysis of oscillatory convective Taylor-Couette flows of second-grade fluids subject to Lorentz and Darcy-Forchheimer quadratic drag forces

Cited by 62 publications

References 32 publications

Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

Generalized differential quadrature analysis of MHD mixed convective motion of Casson fluids past an isothermal irregular slender geometry via Cattaneo–Christov's approach

Significance of the Coriolis Force on the Dynamics of Carreau–Yasuda Rotating Nanofluid Subject to Darcy–Forchheimer and Gyrotactic Microorganisms

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