Quadratic multiple regression model and spectral relaxation approach to analyse stagnation point nanofluid flow with second-order slip

Kumar, B.; Seth, G. S.; Nandkeolyar, R.

doi:10.1177/0954408919878984

Cited by 22 publications

(7 citation statements)

References 39 publications

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“…Now for conversion of system of PDEs into ODEs we need similarity transformations. For current system we use following transformations 49 given by …”

Section: Interpreting the Flow Analysismentioning

confidence: 99%

“…Khan et al 48 investigated the nanoliquid flowing via an extendable surface under the effect of boundary layer approximation. Kumar et al 49 implemented the spectral relaxation way to find the solution of nanoliquid flowing via a slippery plate. Gangadhar et al 50 achieved the numerical solution of Casson liquid accompanied with convection phenomenon over sheet having nonlinear phenomenon with the benefit of spectral relaxation approach.…”

Section: Introductionmentioning

confidence: 99%

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Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry

Din

Darvesh

Ayub

et al. 2022

Sci Rep

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Researchers across the world have tried to explore the impact of non-Newtonian liquid flowing via an extendable surface with the inclusion of various effects due to its industrial and engineering applications like polymer production, paper production, filament extrusion from a dye, etc. This study investigates the behavior of stagnation point flow of Carreau liquid attached with inclined magnetic effect and spectral relaxation approach is utilized here for the numerical outcome. In this study, a few other vital features are attached like the quadratic multiple regression model for Nusselt number evaluation, passive control of nanoparticles, viscus heating thermophoresis, Brownian motion, and mixed convection, etc. Velocity disbursement visibility is analyzed by placing an inclined magnetic field. Physical model generates collection of partial differential equations (PDEs) and these PDEs are moved into ordinary differential equations by a similarity transformations scheme. Further for numerical process, spectral relaxation method is used. Growth in K causes a reduction in velocity because this parameter K creates the impedance to flowing resulting in confines the movement of liquid in restricted the plate. Direct relation is found between $$Ec$$ Ec and the energy file. In the case of S > 1, physically it is a representation of Joule and viscous dissipations. This article is novel in its sense that the influence of oblique magnetic force and second order velocity slippage on Carreau nano liquid and its numerical computation with help of the spectral relaxation method has never been done before. Furthermore, the quadratic multiple regression model has been employed to find the heat transition rate in the status of the Nusselt number.

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“…Now for conversion of system of PDEs into ODEs we need similarity transformations. For current system we use following transformations 49 given by …”

Section: Interpreting the Flow Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry

Din

Darvesh

Ayub

et al. 2022

Sci Rep

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show abstract

“…Sahoo and Nandkeolyar [30] studied Casson hydromagnetic fluid flow under Joule's law of heating and viscous dissipation effects and observed that in the presence of viscous and Joule dissipation, the Casson parameter has the propensity to decay temperature. Kumar et al [31] analyzed the nanofluid flow with Joule's heating and viscous dissipation effects and found that the occurrence of Eckert number enhances the thermophoretic and Brownian diffusion effects.…”

Section: Introductionmentioning

confidence: 99%

Numerical and statistical analysis of unsteady hydromagnetic hybrid nanofluid flow in a porous medium over an inclined disk with dissipative heat transfer

Kar,

Kumar,

Singh

et al. 2024

Z Angew Math Mech

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The present analysis deals with the three‐dimensional radiative, convective hybrid nanofluid flow over a rotating and stretching inclined disk under the action of the applied magnetic field, Joule's heating, and viscous dissipation effects. The mathematical model considers nanoparticles graphene oxide (GO) and molybdenum disulfide (MoS2) suspended in water as the base fluid within a Darcy medium. The cylindrical coordinate system is used to express continuity, momentum, and energy partial differential equations, out of which momentum and energy partial differential equations are transformed into ordinary differential equations using a suitable transformation method under the boundary‐layer approximation. The transformed equations are further solved using the spectral quasi‐linearization method. Graphical and numerical data are presented to investigate the behavior of velocity and temperature under various parameters and shape factors. The nature of fluid flow at the boundary wall is determined by tables of skin friction and the Nusselt number. Statistical analysis of the parameters for axial and tangential skin friction and the Nusselt number is performed using the quadratic regression model.

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“…This is the reason why nanoliquids are used very frequently in locomotive industry and in aerospace engineering. Kumar et al 5 discussed the stagnation point flow of nanoliquids over a perpendicular sheet with 2nd order velocity slip. They concluded that an increase in Brownian motion of nanoparticles tends to dilute the concentration of nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

Marangoni convection in the transient flow of hybrid nanoliquid thin film over a radially stretching disk

Tripathi

2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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Within a magnetohydrodynamic environment, Marangoni convection (Thermocapilarity effect) in an unsteady thin film of hybrid nanoliquid flow over a disk has been discussed. A set of simplified Navier-Stokes equation using boundary layer theory is written in order to model the above mentioned flow situation. The dissipative effects caused by viscosity and magnetic field have been incorporated in temperature-balance equation. A suitable choice of transform variables facilitate a system of ordinary differential equations (ODEs) from original partial differential equations (PDEs) representing the flow phenomena. This system of ODEs are solved by shooting technique in conjunction with Runge-Kutta 4th order numerical scheme. This study reveals that by increasing the surface tension along the liquid-air interface, the velocity of hybrid nanoliquid can be increased. In the context of this research work, the hybrid nanoliquid prepared by dispersing blade shaped [Formula: see text] and Cu nanoparticles, is an ideal liquid as far as liquid coolants are concerned.

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Quadratic multiple regression model and spectral relaxation approach to analyse stagnation point nanofluid flow with second-order slip

Cited by 22 publications

References 39 publications

Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry

Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry

Numerical and statistical analysis of unsteady hydromagnetic hybrid nanofluid flow in a porous medium over an inclined disk with dissipative heat transfer

Marangoni convection in the transient flow of hybrid nanoliquid thin film over a radially stretching disk

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