Stability Analysis of Mixed Convection Flow towards a Moving Thin Needle in Nanofluid

Salleh, Siti Nur Alwani; Bachok, Norfifah; Arifin, Norihan Md; Ali, Fadzilah Md; Pop, Ioan

doi:10.3390/app8060842

Cited by 34 publications

(32 citation statements)

References 31 publications

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“…Trimbitas et al [22] are the first authors who studied such problems by considering the mixed convection flow past a stationary thin needle in nanofluid. Finally, we mention also the recently published paper by Salleh et al [23] on the stability analysis of mixed convection flow towards a moving thin needle in a nanofluid.…”

Section: Introductionmentioning

confidence: 91%

Magnetohydrodynamics Flow Past a Moving Vertical Thin Needle in a Nanofluid with Stability Analysis

et al. 2018

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In this study, we intend to present the dynamics of a system based on the model of convective heat and mass transfer in magnetohydrodynamics (MHD) flow past a moving vertical thin needle in nanofluid. The problem is formulated in mathematical form by using Buongiorno’s model with the modified boundary condition. The transformed boundary layer ordinary differential equations are solved numerically using the bvp4c function in MATLAB software. The effects of the involved parameters, including, Brownian motion, thermophoresis, magnetic field, mixed convection, needle size and velocity ratio parameter on the flow, heat and mass transfer coefficients are analyzed. The numerical results obtained for the skin friction coefficients, local Nusselt number and local Sherwood number, as well as the velocity, temperature and concentration profiles are graphically presented and have been discussed in detail. The study reveals that the dual solutions appear when the needle and the buoyancy forces oppose the direction of the fluid motion, and the range of the dual solutions existing depends largely on the needle size and magnetic parameter. The presence of the magnetic field in this model reduces the coefficient of the skin friction and heat transfer, while it increases the coefficient of the mass transfer on the needle surface. A stability analysis has been performed to identify which of the solutions obtained are linearly stable and physically relevant. It is noticed that the upper branch solutions are stable, while the lower branch solutions are not.

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Section: Introductionmentioning

confidence: 91%

Magnetohydrodynamics Flow Past a Moving Vertical Thin Needle in a Nanofluid with Stability Analysis

et al. 2018

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“…The execution of the stability analysis is mathematically performed to verify the physical or real solution among all the solutions. There has been much current literature that discussed the importance, formulation and execution of the stability analysis (see Ismail et al [55][56][57], Bakar et al [58,59], Anuar et al [60], Salleh et al [61,62], Najib et al [63], Jamaludin et al [64] and Yahaya et al [65]).…”

Section: Stability Analysismentioning

confidence: 99%

Dual Stratified Nanofluid Flow Past a Permeable Shrinking/Stretching Sheet Using a Non-Fourier Energy Model

et al. 2019

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The present study emphasizes the combined effects of double stratification and buoyancy forces on nanofluid flow past a shrinking/stretching surface. A permeable sheet is used to give way for possible wall fluid suction while the magnetic field is imposed normal to the sheet. The governing boundary layer with non-Fourier energy equations (partial differential equations (PDEs)) are converted into a set of nonlinear ordinary differential equations (ODEs) using similarity transformations. The approximate relative error between present results (using the boundary value problem with fourth order accuracy (bvp4c) function) and previous studies in few limiting cases is sufficiently small (0% to 0.3694%). Numerical solutions are graphically displayed for several physical parameters namely suction, magnetic, thermal relaxation, thermal and solutal stratifications on the velocity, temperature and nanoparticles volume fraction profiles. The non-Fourier energy equation gives a different estimation of heat and mass transfer rates as compared to the classical energy equation. The heat transfer rate approximately elevates 5.83% to 12.13% when the thermal relaxation parameter is added for both shrinking and stretching cases. Adversely, the mass transfer rate declines within the range of 1.02% to 2.42%. It is also evident in the present work that the augmentation of suitable wall mass suction will generate dual solutions. The existence of two solutions (first and second) are noticed in all the profiles as well as the local skin friction, Nusselt number and Sherwood number graphs within the considerable range of parameters. The implementation of stability analysis asserts that the first solution is the real solution.

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“…Revisiting the many contributions to the special issue, several key aspects of nanofluids are addressed. [8] predicted that the fluid flow and heat transfer analysis of a mixed convection boundary layer flow past a moving vertical thin needle in a nanofluid would consist of Cu nanoparticles. Effects of parameters, such as velocity ratio, mixed convection, nanoparticle volume fraction, and needle size, were parametrically studied.…”

Section: Current Advances In the Applications Of Nanofluidsmentioning

confidence: 99%

Special Issue on Nanofluids and Their Applications

Yeoh

Cheung

2019

Applied Sciences

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Stability Analysis of Mixed Convection Flow towards a Moving Thin Needle in Nanofluid

Cited by 34 publications

References 31 publications

Magnetohydrodynamics Flow Past a Moving Vertical Thin Needle in a Nanofluid with Stability Analysis

Magnetohydrodynamics Flow Past a Moving Vertical Thin Needle in a Nanofluid with Stability Analysis

Dual Stratified Nanofluid Flow Past a Permeable Shrinking/Stretching Sheet Using a Non-Fourier Energy Model

Special Issue on Nanofluids and Their Applications

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