Dual solutions and stability analysis of flow and heat transfer of Casson fluid over a stretching sheet

Hamid, Muhammad; Usman, Muhammad; Khan, Zafar Hayat; Ahmad, Rokiah Rozita; Wang, W.

doi:10.1016/j.physleta.2019.04.050

Cited by 138 publications

(78 citation statements)

References 31 publications

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“…Meanwhile, Hamid et al 14 considered Casson liquid encased in the cavity. Further, double solutions were found by Hamid et al 15 within the sight of thermal radiation. Stability analysis was additionally performed by utilizing of BVP4C in the MATLAB programming.…”

Section: Introductionmentioning

confidence: 82%

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Dual similarity solutions of MHD stagnation point flow of Casson fluid with effect of thermal radiation and viscous dissipation: stability analysis

Lund

Omar

Khan

et al. 2020

Sci Rep

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In this paper, the rate of heat transfer of the steady MHD stagnation point flow of Casson fluid on the shrinking/stretching surface has been investigated with the effect of thermal radiation and viscous dissipation. The governing partial differential equations are first transformed into the ordinary (similarity) differential equations. The obtained system of equations is converted from boundary value problems (BVPs) to initial value problems (IVPs) with the help of the shooting method which then solved by the RK method with help of maple software. Furthermore, the three-stage Labatto III-A method is applied to perform stability analysis with the help of a bvp4c solver in MATLAB. Current outcomes contradict numerically with published results and found inastounding agreements. The results reveal that there exist dual solutions in both shrinking and stretching surfaces. Furthermore, the temperature increases when thermal radiation, Eckert number, and magnetic number are increased. Signs of the smallest eigenvalue reveal that only the first solution is stable and can be realizable physically.

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Section: Introductionmentioning

confidence: 82%

“…Thus, it is needed to do the stability analysis to detect a stable solution which can be physically reliable after the time passes. According to Hamid et al 15 , the upper branch solutions always show stability and physically reliability. On the other hand, the second solutions are unstable and consequently physically unreliable.…”

Section: Stability Analysismentioning

confidence: 97%

Dual similarity solutions of MHD stagnation point flow of Casson fluid with effect of thermal radiation and viscous dissipation: stability analysis

Lund

Omar

Khan

et al. 2020

Sci Rep

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“…Khan et al 16 constructed a feasible mathematical model to present the problem of circular Casson fluid flow under heat transportation. Hamid et al 17 found the dual solutions of time‐dependent Casson fluid flow induced by the linear movement of surface. They also discussed the stability criteria of considered physical model.…”

Section: Introductionmentioning

confidence: 99%

Unsteady squeezed Casson nanofluid flow by considering the slip condition and time‐dependent magnetic field

Archana¹,

Praveena

Kumar³

et al. 2020

Heat Trans

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The present flow problem investigates the incompressible and squeezed flow between two parallel plates. The mathematical formulation includes the constitutive equations of Casson nanofluid, which is treated as a lubricant. Brownian movement, slip condition, and thermophoretic mechanisms are also considered. The formulated model is tackled by Runge-Kutta-Fehlberg fourth-and fifth-order numerical scheme joint with shooting criteria. Momentum, thermal, and mass species behavior is executed by plots of distinct physical constraints values. It is found that the velocity component is boosted for the larger squeezed parameter whereas the temperature component shows the same behavior for Brownian motion and thermophoresis parameter. Near the lower half of the plate, velocity increases for the slip parameter whereas it decreases for magnetic and Casson parameters.

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“…Hamid et al 29 developed a fluid model to investigate the Prandtl fluid over an infinite plate. Hamid et al 30 analyzed the dual solutions of a Casson fluid over a stretching fluid. Khan et al 31 conducted a numerical investigation to report the entropy generation of fluid flow.…”

Section: Introduction and Literature Surveymentioning

confidence: 99%

Activation energy and binary chemical reaction on unsteady MHD Williamson nanofluid containing motile gyrotactic micro‐organisms

Gorji

2020

Heat Trans

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The author presents the influence of Arrhenius activation energy and binary chemical reaction on an unsteady magnetohydrodynamics Williamson nanofluid with motile gyrotactic micro‐organisms. The governing equations are converted to coupled ordinary differential equations with similarity transformations and the fifth‐order Runge‐Kutta Fehlberg method and the shooting algorithm is applied to solve these equations using the appropriate boundary conditions. A detailed investigation considering the effects of different physical parameters on the profiles like velocity, temperature, concentration, and density of motile gyrotactic micro‐organisms was done and plotted graphically. It is found that the thermal boundary layer enhances for the chemical reaction rate and the solutal boundary layer increases for activation energy. Furthermore, the nondimensional Williamson parameter reduces for the velocity profile. The author studied the wall temperature gradient of different fluids and found that temperature gradient decreased for the present study. Comparisons of the present result with published work were done to verify the present code.

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Dual solutions and stability analysis of flow and heat transfer of Casson fluid over a stretching sheet

Cited by 138 publications

References 31 publications

Dual similarity solutions of MHD stagnation point flow of Casson fluid with effect of thermal radiation and viscous dissipation: stability analysis

Dual similarity solutions of MHD stagnation point flow of Casson fluid with effect of thermal radiation and viscous dissipation: stability analysis

Unsteady squeezed Casson nanofluid flow by considering the slip condition and time‐dependent magnetic field

Activation energy and binary chemical reaction on unsteady MHD Williamson nanofluid containing motile gyrotactic micro‐organisms

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