MHD flow and heat transfer over a radially stretching/shrinking disk

Soid, Siti Khuzaimah; Ishak, Anuar Mohd; Pop, Ioan

doi:10.1016/j.cjph.2017.11.022

Cited by 73 publications

(27 citation statements)

References 20 publications

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“…The influences of relevant constraints concerning in the liquid flow problem are argued via tables and graphs. The range of the physical parameters are considered as 0 Table 1 presents the evaluation of the current results of f (0) with the results of Butt and Ali [42] and Soid et al [43] in restrictive cases are closely harmonized, which guaranteed the soundness of the present methodology. Geometry of the problem is given in Figure 1.…”

Section: Resultsmentioning

confidence: 87%

Numerical Investigation of Aligned Magnetic Flow Comprising Nanoliquid over a Radial Stretchable Surface with Cattaneo–Christov Heat Flux with Entropy Generation

Zaib

Khan

et al. 2019

Symmetry

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The influence of entropy generation on aligned magnetic flow-including nanoparticles through a convectively heated radial stretched surface in the existence of Cattaneo–Christov heat flux is inspected. The highly nonlinear leading PDE’s via the similar scaling transformation are developed. The resulting system via the bvp4c technique from Matlab is computed. The impacts of rising constraints on the liquid velocity, nanoparticles concentration and temperature profile are argued and showed via portraits and table. In addition, the performance of liquid flow is inspected through the friction factor, the mass and heat transfer rate. With the rise in the thermal relaxation constraint, the thermal boundary layer is appreciably altered. Due to an aligned angle, the velocity of nanoliquid declines, while the concentration and temperature of nanofluid augment. It is also observed that the values of friction factor increase, whereas the values of heat and mass transfer decline due to an aligned angle. Entropy generation profiles developed due to magnetic parameters and the aligned angle. Lastly, a comparative scrutiny is composed via the previous studies which lead to support for our presently developed model.

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Section: Resultsmentioning

confidence: 87%

Numerical Investigation of Aligned Magnetic Flow Comprising Nanoliquid over a Radial Stretchable Surface with Cattaneo–Christov Heat Flux with Entropy Generation

Zaib

Khan

et al. 2019

Symmetry

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“…When joined with the Chebyshev pseudo-spectral process, the SPM can provide higher order approximate mathematical resolutions for intricate increases faced in perturbation patterns. Siti Khuzaimah Soida et al [12] analyzed numerically a stable MHD flow through a centrifugally widening or lessening floppy using the boundary value problem solver in Matlab software.…”

Section: Introductionmentioning

confidence: 99%

MHD Flow and Heat Transfer over Vertical Stretching Sheet with Heat Sink or Source Effect

et al. 2019

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A steady laminar flow over a vertical stretching sheet with the existence of viscous dissipation, heat source/sink, and magnetic fields has been numerically inspected through a shooting scheme based Runge—Kutta–Fehlberg-integration algorithm. The governing equation and boundary layer balance are expressed and then converted into a nonlinear normal system of differential equations using suitable transformations. The impact of the physical parameters on the dimensionless velocity, temperature, the local Nusselt, and skin friction coefficient are described. Results show good agreement with recent researches. Findings reveal that the Nusselt number at the sheet surface augments, since the Hartmann number, stretching velocity ratio A, and Hartmann number Ha increase. Nevertheless, it reduces with respect to the heat generation/absorption coefficient δ.

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“…These solutions exist in boundary layer fluid flow problems due to non-linearity in equations [29,30] as encountered in material science, electrochemistry, viscoelasticity, electro-magnetics, and acoustics. Soid et al [31] considered steady MHD flow over a radially stretching or shrinking disk and noticed that dual solutions only exist on shrinking surface with small values of suction and the magnetic parameters. Khan et al [32] investigated Carreau nanofluids and found the dual solutions by using the BVP4C method in MATLAB 2017 version.…”

Section: Introductionmentioning

confidence: 99%

Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis

et al. 2019

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In this study, first-order slip effect with viscous dissipation and thermal radiation in micropolar fluid on a linear shrinking sheet is considered. Mathematical formulations of the governing equations of the problem have been derived by employing the fundamental laws of conservations which then converted into highly non-linear coupled partial differential equations (PDEs) of boundary layers. Linear transformations are employed to change PDEs into non-dimensional ordinary differential equations (ODEs). The solutions of the resultant ODEs have been obtained by using of numerical method which is presented in the form of shootlib package in MAPLE 2018. The results reveal that there is more than one solution depending upon the values of suction and material parameters. The ranges of dual solutions are S ≥ S c i , i = 0 , 1 , 2 and no solution is S < S c i where S c i is the critical values of S . Critical values have been obtained in the presence of dual solutions and the stability analysis is carried out to identify more stable solutions. Variations of numerous parameters have been also examined by giving tables and graphs. The numerical values have been obtained for the skin friction and local Nusselt number and presented graphically. Further, it is observed that the temperature and thickness of the thermal boundary layer increase when thermal radiation parameter is increased in both solutions. In addition, it is also noticed that the fluid velocity increases in the case of strong magnetic field effect in the second solution.

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MHD flow and heat transfer over a radially stretching/shrinking disk

Cited by 73 publications

References 20 publications

Numerical Investigation of Aligned Magnetic Flow Comprising Nanoliquid over a Radial Stretchable Surface with Cattaneo–Christov Heat Flux with Entropy Generation

Numerical Investigation of Aligned Magnetic Flow Comprising Nanoliquid over a Radial Stretchable Surface with Cattaneo–Christov Heat Flux with Entropy Generation

MHD Flow and Heat Transfer over Vertical Stretching Sheet with Heat Sink or Source Effect

Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis

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