MHD Mixed Convection Flow of Couple Stress Fluid Over an Oscillatory Stretching Sheet with Thermophoresis and Thermal Diffusion Using the Overlapping Multi-domain Spectral Relaxation Approach

Mkhatshwa, Musawenkhosi Patson; Motsa, S. S.; Sibanda, Precious

doi:10.1007/s40819-021-01043-0

Cited by 15 publications

(4 citation statements)

References 41 publications

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“…According to Yang et al, 58 the method becomes very complicated if the number of collocation points is varied in each subdomain. Second, the length of each subdomain must fixed if linear transformation is used, which appears in many studies 53–56 as follows:

{\mathscr{L}}=\frac{{\eta }_{\max }}{P+(1-P)\left(1-\cos \frac{\pi }{{M}_{\eta }}\right)\unicode{x02215}2}.

…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Recently, researchers 14,[53][54][55][56][57] tried to circumvent these limitations by implementing the overlapping grid idea with spectral collocation methods to ensure accuracy, stability, and computational efficiency are maintained when solving differential equations defined on large computational domains. These techniques are very powerful methods for the numerical computation of solutions to nonlinear boundary value problems.…”

Section: Solution Of the Problemmentioning

confidence: 99%

Section: Solution Of the Problemmentioning

confidence: 99%

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Irreversibility scrutinization on EMHD Darcy–Forchheimer slip flow of Carreau hybrid nanofluid through a stretchable surface in porous medium with temperature‐variant properties

Mkhatshwa

Khumalo

2022

Heat Trans

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The significance of hybrid nanofluids in controlling heat transmission cannot be overemphasized. Therefore, this article scrutinizes the electromagnetized flow of Carreau hybrid nanofluid towards a stretching surface in a Darcy-Forchheimer porous medium with the occurrence of slip conditions. To form the hybrid nanofluid, the amalgamation of silver and alumina nanoparticles (NPs) embedded in water as conventional fluid is assumed. For accurate interception of the rate of heat and mass transport, thermal conductivity and mass diffusion conductance are presumed to be temperature variants. The modeling system of partial differential equations has been translated into a nondimensional form by means of suitable similarity conversions. Then, the subsequent system of ordinary differential equations is handled using overlapping domain decomposition spectral local linearization method to acquire numerical solutions. The choice of the method has been justified through the provision of errors, condition numbers, and computation time.

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{\mathscr{L}}=\frac{{\eta }_{\max }}{P+(1-P)\left(1-\cos \frac{\pi }{{M}_{\eta }}\right)\unicode{x02215}2}.

…”

Section: Solution Of the Problemmentioning

confidence: 99%

Section: Solution Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Irreversibility scrutinization on EMHD Darcy–Forchheimer slip flow of Carreau hybrid nanofluid through a stretchable surface in porous medium with temperature‐variant properties

Mkhatshwa

Khumalo

2022

Heat Trans

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“…Ghasemi et al 51 numerically tackled the nanofluid flowing crossways of an elastic sheet embedded with nonlinear thermal radiation and MHD with the help of the spectral relaxation approach. The spectral relaxation application on a couple of stress fluids flowing towards an oscillating plate in addition to MHD was explored in order by Khatshwa et al 52 . Rao et al 53 obtained the numerical solution of nano liquid flowing along an exponential elastically medium in addition to viscous dissipation, heat source/sink with the utilization of spectral relaxation method.…”

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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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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Overlapping grid spectral collocation approach for electrical MHD bioconvection Darcy–Forchheimer flow of a Carreau–Yasuda nanoliquid over a periodically accelerating surface

Mkhatshwa

2021

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MHD Mixed Convection Flow of Couple Stress Fluid Over an Oscillatory Stretching Sheet with Thermophoresis and Thermal Diffusion Using the Overlapping Multi-domain Spectral Relaxation Approach

Cited by 15 publications

References 41 publications

Irreversibility scrutinization on EMHD Darcy–Forchheimer slip flow of Carreau hybrid nanofluid through a stretchable surface in porous medium with temperature‐variant properties

Irreversibility scrutinization on EMHD Darcy–Forchheimer slip flow of Carreau hybrid nanofluid through a stretchable surface in porous medium with temperature‐variant properties

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

Overlapping grid spectral collocation approach for electrical MHD bioconvection Darcy–Forchheimer flow of a Carreau–Yasuda nanoliquid over a periodically accelerating surface

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