Physical characteristics of Dufour and Soret effects on MHD mixed convection flow of Williamson fluid past a nonlinear stretching porous curved surface

Akbar, Tanvir; Ahmed, Kamran; Muhammad, Taseer; Munir, Sadaf

doi:10.1080/17455030.2021.2023233

Cited by 13 publications

(9 citation statements)

References 33 publications

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“…Inserting equations ( 38), (39), and (40) in (28)(29)(30) and by equating coefficient of like powers of k leads to the BVP for…”

Section: Explanation Of Solution Methodsmentioning

confidence: 99%

“…Dufour’s and Soret impacts on the magnetohydrodynamic flow of Powell-Eyring fluid through oscillatory stretched sheet were determined by Khan et al 26 Imtiaz et al 27 have analyzed the impacts of Dufour and Soret on viscous fluid flow across curved stretching surface. Physical characteristics of Dufour and Soret impacts on mixed convection flow of non-Newtonian fluid over nonlinear sheet was investigated by Akbar et al 28 Seid et al 29 has conducted an analytical investigation to evaluate the outcomes of Soret and Dufour numbers in nanoliquid flow across a vertical stretched sheet. Siddique et al 30 have explored the effects of Soret and Dufour on unsteady motion of viscoelastic nanoliquid over an exponentially stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of Soret and Dufour effects on oscillatory flow of couple stress fluid due to stretchable curved surface

Imran

Naveed

Abbas

2023

Advances in Mechanical Engineering

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In this theoretical study, we have discussed the impacts of Soret and Dufour on the flow of time-dependent couple stress fluid across a stretchable curved oscillatory surface with magnetic field. The to and fro motion of the surface causes the flow phenomenon. The boundary layer flow equations depicting the flow phenomena are expressed in mathematical form by means of a curvilinear coordinates system along with some suitable similarity variables. The developed flow equations in the form of partial differential equations are then solved analytically by utilizing a valuable method called the homotopy analysis method (HAM). A detailed examination is performed to evaluate the influence of various involved parameters namely, the non-dimensional radius of curvature, couple stress parameter, magnetic parameter, the relation of the parameter of the surface oscillating frequency to its stretching rate constant and Soret and Dufour numbers on velocity field, pressure distribution, concentration and temperature distribution, rate of heat transfer, coefficient of skin friction, and rate of mass transport via graphs and are explained in detail. It is confirmed that the amplitude of velocity and pressure distribution exhibits reducing behavior with higher values of the couple stress parameter. The concentration and temperature profiles also diminish with varying time instants.

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“…Inserting equations ( 38), (39), and (40) in (28)(29)(30) and by equating coefficient of like powers of k leads to the BVP for…”

Section: Explanation Of Solution Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamics of Soret and Dufour effects on oscillatory flow of couple stress fluid due to stretchable curved surface

Imran

Naveed

Abbas

2023

Advances in Mechanical Engineering

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“…Jawad et al 17 analyzed MHD radiative nanoliquid flow in the attendance of Marangoni convection and S‐D effects on a vertical stretched surface. Some of the other important contributions to the present topics are present in various studies 18–20 …”

Section: Introductionmentioning

confidence: 97%

“…Some of the other important contributions to the present topics are present in various studies. [18][19][20] Due to its importance in many technical and industrial processes, nanomaterials have recently received a lot of attention. It is evident that solids have greater heat conductivity than liquids.…”

Section: Introductionmentioning

confidence: 99%

The physical impact of blowing, Soret and Dufour over an unsteady stretching surface immersed in a porous medium in the presence of ternary nanofluid

Yogeesha¹,

Megalamani²,

Gill

et al. 2022

Heat Trans

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This study discusses the thermal and mass dispersal of ternary unsteady nanofluid flow in the existence of Soret and Dufour effects over a stretched surface with the Stefan blowing (SB) effect in porous media. The "blowing effect" is created by a large number of molecules or nanoscale particles moving from one point to another. SB is a mass transfer of species application that gives the notion of the blowing effect, as well as the Soret and Dufour effects, which are also being considered in the current study. The governing equations that pose the problem are solved using appropriate similarity variables and then translated into ordinary differential equations. Runge-Kutta-Fehlberg 45 and the shooting process are used to solve the reduced equations. The effect of the different dimensionless restrictions on the relevant profiles is visually depicted. According to the analysis, the rise in the porosity constraint will decline the velocity of the fluid. The SB parameter directly influences velocity, thermal, and concentration profiles. The Soret constraint increases concentration, whereas the Schmidt number has the opposite effect. With the addition of solid volume fraction, the rate of mass transmission and surface drag force reduces while the rate of heat dispersion increases.

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“…Sharma and Mishra 34 have investigated the impact of chemical reaction in micropolar fluid flow produced by a stretchable sheet, along with heat generation and the influence of the Lorentz force. Akbar et al 35 discussed the physical characteristics of Dufour and Soret effects on the mixed convection flow of Williamson fluid over a porous nonlinear stretching curved surface under magnetic field impact. Ahmed et al 36 also examined Williamson fluid flow with nanoparticles over a permeable exponentially stretching curved surface, along with the influence of a magnetic field and varying thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer characteristics in non‐Newtonian fluid flow due to a naturally permeable curved surface and chemical reaction

Olkha

Kumar

2023

Heat Trans

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In this research endeavor, Casson fluid flow and melting heat transfer due to a curved nonlinearly stretching sheet are investigated. The sheet is naturally permeable and the flow is considered in a porous medium. For flow in a porous medium, a modified Darcy's resistance term for Casson fluid is considered in the momentum equation. In the energy equation, heat transport characteristics, including viscous dissipation, are taken into account. Mass transport is also studied together with the impact of chemical reaction of higher order. The governing nonlinear partial differential equations of flow, heat, and mass transport are reduced to nondimensional ordinary differential equations using adequate similarity transformations and then solved numerically employing the bvp4c technique and Runge–Kutta fourth‐order method on MATLAB. The impacts of numerous occurring parameters on relevant fields (velocity field, temperature field, and concentration field) are depicted and discussed by plotting graphs. We concluded the curvature parameter, reduces the pace of the flow. The impacts of the stretching index, and melting parameter, are also found to reduce flow and temperature field. Furthermore, we noted that the reaction parameter, and its order, exhibit opposite impacts on the concentration field. Moreover, the numerical values of skin‐friction coefficient and Nusselt number calculated employing bvp4c and Runge–Kutta fourth‐order technique are expressed in tabular mode, and these are found in an excellent match. For validation of the results, skin‐friction coefficient values were computed using the Runge–Kutta fourth‐order technique and bvp4c solver, compared with the existing results, and a good agreement was found.

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Physical characteristics of Dufour and Soret effects on MHD mixed convection flow of Williamson fluid past a nonlinear stretching porous curved surface

Cited by 13 publications

References 33 publications

Dynamics of Soret and Dufour effects on oscillatory flow of couple stress fluid due to stretchable curved surface

Dynamics of Soret and Dufour effects on oscillatory flow of couple stress fluid due to stretchable curved surface

The physical impact of blowing, Soret and Dufour over an unsteady stretching surface immersed in a porous medium in the presence of ternary nanofluid

Heat transfer characteristics in non‐Newtonian fluid flow due to a naturally permeable curved surface and chemical reaction

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