Stagnation point flow and heat transfer past a permeable stretching/shrinking Riga plate with velocity slip and radiation effects

In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system of ODEs is reduced to initial value problems (IVPs) by employing the shooting method before solving IVPs by the Runge Kutta method. The results reveal that there are ranges of multiple solutions, triple solutions, and a single solution. However, Aurangzaib et al., only found dual solutions. The effect of the micropolar parameter, suction parameter, and Prandtl number on velocity, angular velocity, and temperature profiles have been taken into account. Stability analysis of triple solutions is performed and found that a physically possible stable solution is the first one, while all leftover solutions are not stable and cannot be experimentally seen.

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“…According to Nasir et al, [28] and Rana et al, [25], we need to introduce the unsteady form of Equations (6)- (8)…”

Section: Stability Analysismentioning

confidence: 99%

“…Waini et al, [27] reported that the stability of any solution dependent upon the sign of the value of the smallest eigenvalue. If the value of eigenvalue is positive, it indicated the stable solution, while the negative value of the smallest eigenvalue indicated the unstable solution [28].…”

Section: Introductionmentioning

confidence: 99%

Triple Solutions and Stability Analysis of Micropolar Fluid Flow on an Exponentially Shrinking Surface

et al. 2020

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“…To mathematically inspect the squeeze films that are affected by magnetic force, the extensively used methodologies are mainly MHD viscous type. Nasir et al [37] explored the numerical findings on the flow along a Riga plate of stretching/shrinking nature, where they considered dual solutions for the plate types. By their substantial inquiry, the upper branch of the solution was mentioned as a stable type while the lower branch wasn't.…”

Section: Introductionmentioning

confidence: 99%

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

et al. 2021

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This study is performed on the numerical investigation of electro-magnetohydrodynamic (EMHD) radiating fluid flow nature along an infinitely long vertical Riga plate with suction in a rotating system. The prevailing equations are generated from the Navier–Stokes’ and energy equations. A uniform suction velocity is introduced to control the flow. The prevailing boundary layer (BL) equations are the stuff to delineate the mechanical features of the flowing nature along with the electromagnetic device (Riga plate). Accordingly, the use of usual transformations on the equations transformed those into a coupled dimensionless system of non-linear partial differential equations (PDEs). After conversion, the elucidation of the set of equations is conducted numerically by an explicit finite difference method (FDM). The criteria for stable and converging solutions are constructed to find restrictions on various non-dimensional parameters. The retrieved restrictions are $$P_{r} \ge 0.19,\,$$ P r ≥ 0.19 , $$R_{d} \ge 0.1,\,\,$$ R d ≥ 0.1 , $$S \ge 1,$$ S ≥ 1 , $$E_{c} = 0.01\,\,$$ E c = 0.01 and $$0 < R \le 0.1$$ 0 < R ≤ 0.1 . Furthermore, sensitivity tests on mesh and time as well as comparison within the literature have been demonstrated in graphical and tabular form. Finally, the important findings of the non-dimensional parameters influences have been portrayed in graphical manner by using the MATLAB R2015a tool. A substantial uprise is noted for both the velocities (secondary and primary) under the rising actions of the modified Hartmann number, whereas the suction parameter suppresses both the velocities.

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“…Srinivas et al, [7] conducted the effect of thermal radiation and chemical reaction on the unsteady flow of a micropolar fluid over a porous stretching sheet. Another study about the effects of velocity slip and radiation on the stagnation point flow and heat transfer past a permeable stretching/shrinking Riga plate has been carried out by Nasir et al, [8].…”

Section: Introductionmentioning

confidence: 99%

Radiative Boundary Layer Flow of Casson Fluid Over an Exponentially Permeable Slippery Riga Plate with Viscous Dissipation

Yusof

Soid

Illias

et al. 2020

ARASET

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This study is aimed to analyze the steady of stagnation point flow and radiative heat transfer of a non-Newtonian fluid which is Casson fluid passing over an exponentially permeable slippery Riga plate in presence of thermal radiation, magnetic field, velocity slip, thermal slip, and viscous dissipation effects. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation then solved numerically by boundary value problem solver (BVP4C) in MATLAB software package. The numerical results are evaluated with previous researches to reach an agreement with the parameters of the current study. This study is discussing the behavior of the velocity and temperature profiles as well as skin friction coefficient and local Nusselt number for various physical parameters such as magnetic field, radiation, suction, thermal slip, velocity slip, Prandtl number, Eckert number and modified Hartmann number. Numerical results are shown graphically for each parameter with different values. It is found that the momentum boundary layer thickness increases with increasing the values of Casson parameter. The temperature decreases when the velocity slip parameter and thermal slip parameter are increased.

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Stagnation point flow and heat transfer past a permeable stretching/shrinking Riga plate with velocity slip and radiation effects

Cited by 29 publications

References 47 publications

Triple Solutions and Stability Analysis of Micropolar Fluid Flow on an Exponentially Shrinking Surface

Triple Solutions and Stability Analysis of Micropolar Fluid Flow on an Exponentially Shrinking Surface

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

Radiative Boundary Layer Flow of Casson Fluid Over an Exponentially Permeable Slippery Riga Plate with Viscous Dissipation

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