Soret and Dufour Effects on Unsteady Boundary Layer Flow and Heat Transfer of Nanofluid Over a Stretching/Shrinking Sheet: A Stability Analysis

Dzulkifli, Nor Fadhilah; Bachok, Norfifah; Pop, I.; Yacob, Nor Azizah; Arifin, Norihan Md; Rosali, Haliza

doi:10.4172/2157-7048.1000336

Cited by 17 publications

(6 citation statements)

References 35 publications

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“…In petroleum industries, these are utilized to examine the motion of natural gas, water and oil in the oil reservoirs and also used to enhance the oil recovery. With the emerging applications, the researcher's attempts on Soret-Dufour aspects of fluid flow are referred to [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Soret–Dufour and radiative aspects in hydromagnetized nanofluid flow in stratified porous medium

et al. 2019

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The numerical computations of Soret-Dufour aspects in hydromagnetics nanofluid flow in thermal stratified porous medium under radiated chemical reaction are developed. The unique similarity transformations lead to reduce the partial differential system into expressions of ordinary ones. Keller-box approach is adopted to express the numeric solutions. The impacts of embedded flow parameters on the different flow profiles signifying velocity, concentration and temperature of nanofluid are discussed via graphs. The values of −θ � (0) , − � (0) and −f �� (0) in relation with the variation in sundry physical parameters are examined through numerical benchmarks. The numerical results in special cases agreed with published work showing the validity of formulated problem. It can be seen that the temperature profile enhances for cumulative values of Brownian motion and thermophoretic impacts. In addition, the enhancement in Dufour factor declines the temperature profile. On contrast, larger the Soret parameter results an increase in concentration profile. On the other hand, chemical reaction shows direct relation with temperature profile.

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Section: Introductionmentioning

confidence: 99%

Soret–Dufour and radiative aspects in hydromagnetized nanofluid flow in stratified porous medium

et al. 2019

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“…Rosca and Pop [4], and Weidman et al [10] have shown that the lower branch solutions are unstable (not physically realizable), while the upper branch solutions are stable (physically realizable). Because of the interesting findings mentioned previously, many works on stability analysis have been performed in order to prove the findings which can be found in [28][29][30][31]. Firstly, we consider the eqs.…”

Section: Stability Solutionsmentioning

confidence: 99%

Dual solutions on boundary-layer flow over a moving surface in a flowing nanofluid with second-order slip

et al. 2020

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The steady boundary-layer flow of a nanofluid past a moving semi-infinite flat plate in a uniform free stream in the presence of second order slip is studied using a second order slip flow model. The governing PDE are transformed into non-linear ODE by using appropriate similarity transformations, which are then solved numerically using bvp4c solver for different values of selected parameters. We found that the solutions existed for dual in a certain range of velocity ratio parameter. Therefore, a stability analysis has been analyzed to show which solutions are stable. The effects of velocity ratio parameter, Lewis number, Prandtl number, Brownian motion parameter, thermopherosis parameter, mass suction, first order slip parameter, and second order slip parameter on the skin friction coefficient, heat transfer coefficient, dimensionless velocity, temperature as well as nanoparticle volume fraction profiles are figured out graphically and discussed. These results reveals that the slip parameters expand the range of the solutions obtained. The increment of slip parameters lead to decrease the skin friction coefficient while increase the heat transfer coefficient. In addition, the value of Lewis nmber, Prandtl number, Brownian motion parameter, and thermopherosis parameter are significantly affected the heat transfer coefficient. Lastly, the first solution is stable and physically relevant, while the second solution is not.

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“…Dzulkifli et al [22] carried out a heat transfer analysis of nanofluid through stretched sheet while considering thermophoresis, and Brownian motion effects. Durga Prasad et al [23] presented the heat, and mass transfer of a nanofluid in a flat plate, assessing how diffusion, absorption, and chemical reaction affected the fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Viscous dissipation and chemical reaction effects on MHD nanofluid flow over a vertical plate in a rotating system

Padmaja

Kumar

2023

Z Angew Math Mech

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Most fluids used in industries possess a constant velocity acting with them. In spite of the fact that there have been a few studies conducted on the topic, the study of fluid flow at a constant velocity using nanofluids is still relatively unexplored. The novelty of this work is the analysis of the heat, and mass transfer of the nanofluid Al 2 O 3 -H 2 O along with a constant velocity in a rotating system with Soret-Dufour effects. This article aims to investigate the MHD nanofluid flow in a vertical plate with a porous medium taking into account viscous dissipation, Joule heating, and a non-uniform heat source/sink. The investigation is subject to steady-state incompressible flow through a vertical plate with a magnetic field and chemical reaction effects. Equations pertinent to nanofluid flow have been modeled as nonlinear partial differential equations. These equations are reformed as nondimensional ODEs utilizing suitable similarity transformations. Employing, the Runge-Kutta method the system of ODEs is solved. The physical impacts of the fluid parameters on velocity, temperature, and concentration are illustrated clearly using graphs. Tables are utilized to present the rate of heat, mass transfer as well as the skin-friction coefficient. A limiting case of our work compared with the existing literature to validate our results. Our results show that when rotation parameter rises from 4 to 6, it decreases the heat transfer rate by 10.8% and mass transfer rate by 5.9%.

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Soret and Dufour Effects on Unsteady Boundary Layer Flow and Heat Transfer of Nanofluid Over a Stretching/Shrinking Sheet: A Stability Analysis

Cited by 17 publications

References 35 publications

Soret–Dufour and radiative aspects in hydromagnetized nanofluid flow in stratified porous medium

Soret–Dufour and radiative aspects in hydromagnetized nanofluid flow in stratified porous medium

Dual solutions on boundary-layer flow over a moving surface in a flowing nanofluid with second-order slip

Viscous dissipation and chemical reaction effects on MHD nanofluid flow over a vertical plate in a rotating system

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