Stability Analysis of MHD Stagnation-point Flow towards a Permeable Stretching/Shrinking Sheet in a Nanofluid with Chemical Reactions Effect

Kamal, Fatinnabila; Zaimi, Khairy; Ishak, Anuar Mohd; Pop, Ioan

doi:10.17576/jsm-2019-4801-28

Cited by 61 publications

(41 citation statements)

References 14 publications

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“…Among the earlier studies on mathematical formulation of stability analysis were examined by Harris et al (2009) Merkin (1986, Roşca and Pop (2013), and Weidman et al (2006). Many recent works also discussed the existence of dual solutions and emphasis on stability analysis (Bakar et al 2018;Dzulkifli et al 2018;Hamid & Nazar 2016;Jamaludin et al 2018;Kamal et al 2019;Naganthran et al 2018;Soid et al 2018). All the reported literatures implemented the bvp4c solver in the MATLAB software to examine the paired and stability solutions.…”

Section: Introductionmentioning

confidence: 99%

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Khashi’ie¹,

Arifin²,

Pop³

et al. 2020

JSM

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The present study accentuates the Marangoni convection flow and heat transfer characteristics of a hybrid Cu-Al 2 O 3 / water nanofluid past a stretching/shrinking sheet. The presence of surface tension due to an imposed temperature gradient at the wall surface induces the thermal Marangoni convection. A suitable transformation is employed to convert the boundary layer flow and energy equations into a nonlinear set of ordinary (similarity) differential equations. The bvp4c solver in MATLAB software is utilized to solve the transformed system. The change in velocity and temperature, as well as the Nusselt number with the accretion of the dimensionless Marangoni, nanoparticles volume fraction and suction parameters, are discussed and manifested in the graph forms. The presence of two solutions for both stretching and shrinking flow cases are noticeable with the imposition of wall mass suction parameter. The adoption of stability analysis proves that the first solution is the real solution. Meanwhile, the heat transfer rate significantly augments with an upsurge of the Cu volume fraction (shrinking flow case) and Marangoni parameter (stretching flow case). Both Marangoni and Cu volume fraction parameters also can decelerate the boundary layer separation process.

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Section: Introductionmentioning

confidence: 99%

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Khashi’ie¹,

Arifin²,

Pop³

et al. 2020

JSM

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“…The same behavior of nano-particles was examined by Akbari et al [7] and Hayat et al [8]. Kamal et al [9] investigated the MHD stagnation point flow of nano-fluid in the presence of a chemical reaction. The unsteady nano-fluid flow through the previous medium was analyzed by Kumar et al [10].…”

Section: Introductionmentioning

confidence: 79%

“…By using the above assumptions, the governing boundary layer equations for the flow problem are as follows (see [8,9,43,44]):…”

Section: Mathematical Formulationmentioning

confidence: 99%

Thermo-Diffusion and Multislip Effects on MHD Mixed Convection Unsteady Flow of Micropolar Nanofluid over a Shrinking/Stretching Sheet with Radiation in the Presence of Heat Source

et al. 2019

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The main purpose of this study is to investigate the multislip effects on the magneto-hydrodynamic (MHD) mixed convection unsteady flow of micropolar nano-fluids over a stretching/shrinking sheet along with radiation in the presence of a heat source. The consequences of multislip and buoyancy conditions have been integrated. By using the suitable similarity variables are used to solve the governing non-linear partial differential equations into a system of coupled non-linear ordinary differential equations. The transformed equations are solved numerically by using Runge–Kutta fourth-order method with shooting technique. The impacts of the several parameters on the velocity, temperature, micro-rotation, and concentration profiles as well as on the skin friction coefficient, Sherwood number, and Nusselt number are discussed with the help of graphs and tables.

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“…The selection of the initial guess and the boundary layer thickness, η ∞ are particular depend on the parameters applied to obtain the solutions. Moreover, several researchers [42][43][44][45][46] are also employing this solver for solving the boundary layer flow problems. First, Equations (10) to (12) are reduced to a system of ordinary differential equations of the first order.…”

Section: Methodsmentioning

confidence: 99%

Hybrid Nanofluid Flow Past a Permeable Moving Thin Needle

2020

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The problem of a steady flow and heat transfer past a permeable moving thin needle in a hybrid nanofluid is examined in this study. Here, we consider copper (Cu) and alumina (Al2O3) as hybrid nanoparticles, and water as a base fluid. In addition, the effects of thermophoresis and Brownian motion are taken into consideration. A similarity transformation is used to obtain similarity equations, which are then solved numerically using the boundary value problem solver, bvp4c available in Matlab software (Matlab_R2014b, MathWorks, Singapore). It is shown that heat transfer rate is higher in the presence of hybrid nanoparticles. It is discovered that the non-uniqueness of the solutions is observed for a certain range of the moving parameter λ . We also observed that the bifurcation of the solutions occurs in the region of λ < 0 , i.e., when the needle moved toward the origin. Furthermore, we found that the skin friction coefficient and the heat transfer rate at the surface are higher for smaller needle sizes. A reduction in the temperature and nanoparticle concentration was observed with the increasing of the thermophoresis parameter. It was also found that the increase of the Brownian motion parameter leads to an increase in the nanoparticle concentration. Temporal stability analysis shows that only one of the solutions was stable and physically reliable as time evolved.

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Stability Analysis of MHD Stagnation-point Flow towards a Permeable Stretching/Shrinking Sheet in a Nanofluid with Chemical Reactions Effect

Cited by 61 publications

References 14 publications

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Thermo-Diffusion and Multislip Effects on MHD Mixed Convection Unsteady Flow of Micropolar Nanofluid over a Shrinking/Stretching Sheet with Radiation in the Presence of Heat Source

Hybrid Nanofluid Flow Past a Permeable Moving Thin Needle

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