Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick’s model

Imran, Muhammad; Abbas, Zaheer; Naveed, M.

doi:10.1007/s10483-021-2779-9

Cited by 19 publications

(9 citation statements)

References 33 publications

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“…For a more comprehensive study, Refs. [10][11][12][13][14][15][16][17] provide a more extensive review of the scientific literature on various flow problems on different flow geometries.…”

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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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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“…For a more comprehensive study, Refs. [10][11][12][13][14][15][16][17] provide a more extensive review of the scientific literature on various flow problems on different flow geometries.…”

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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“…Naveed et al 8 has discussed the effects of heat transport phenomena on curvilinear flow of micropolar liquid across an oscillatory curved stretched sheet. Imran et al 9 has investigated the consequences of thermal and mass relaxation parameters on Eyring-Powell fluid past over a curved oscillatory wall.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer analysis in hydromagnetic flow of couple stress fluid in presence of homogeneous and heterogeneous chemical reactions over a porous oscillatory stretchable sheet

Naveed

Imran

Gul

2023

Advances in Mechanical Engineering

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The prime objective of this theoretical study is to investigate the flow, mass, and heat transfer in the time-dependent couple stress fluid over a permeable stretching oscillatory surface. The effect of applied magnetic field is also taken in the momentum equation. In addition, the energy equation is modeled by incorporating thermal radiation and heat generation. Furthermore, the concentration equation is designed in presence of homogenous and heterogeneous chemical reactions. The flow mechanism occurs because of the to and fro motion of the surface about a fixed point. For similar solution of the developed flow problem suitable similarity transformations is adopted. The analytical solution of the obtained flow equations in the form of partial differential equations (PDEs) is attained by utilizing a valuable method called Homotopy analysis method (HAM). An extensive assessment is performed to study the influence of various involved parameters namely the couple stress parameter, the relation of the parameter of the surface oscillatory frequency to its stretched rate constant, the Prandtl number, the strength of heterogeneous and homogeneous chemical reactions parameters, Schmidt number, heat production parameter and magneto-porosity parameter on the flow, concentration and temperature distributions, skin friction coefficient, and rate of heat transfer via tables and graphs and are discussed in detail. It is observed that the amplitude of velocity and skin friction coefficient shows a declining response with varying values of the couple stress parameter and it increases for higher values of the magneto-porous parameter.

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“…Imran et al. [29] has considered the effects of heat and mass transportation phenomena's by considering modified Fourier and Fick's model in flow of Eyring‐Powell liquid across a curved oscillating stretched sheet. Naveed et al.…”

Section: Introductionmentioning

confidence: 99%

“…Curvilinear motion of non-Newtonian micropolar fluid past over a curved oscillatory stretchable sheet with Cattaneo-Christov heat flux was researched by Naveed et al [28]. Imran et al [29] has considered the effects of heat and mass transportation phenomena's by considering modified Fourier and Fick's model in flow of Eyring-Powell liquid across a curved oscillating stretched sheet. Naveed et al [30] has inspected the influences of variable thermal conductivity and diffusivity in convectively heated Williamson fluid towards an oscillatory curved Riga surface.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer analysis in a curvilinear flow of hybrid nanoliquid across a curved oscillatory stretched surface with nonlinear thermal radiation

et al. 2023

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The primary objective of the study is to examine the influence of the nonlinear thermal radiation on the flow of the hydromagnetic hybrid nanoliquid across an oscillating stretched curved surface. In addition, the impacts of velocity and thermal slip conditions are also considered. Curvilinear coordinate scheme is adopted to construct the mathematical form of the flow model in terms of nonlinear partial differential equations. Analytical solution of the formulated flow equations in the form of convergent series solution is accomplished by employing the Homotopy analysis technique (HAM). A comprehensive inspection of the consequences of different flow parameters, such as the hybrid nanoparticles parameter, magnetic parameter, non‐dimensional velocity slip parameter, dimensionless radius of curvature, dimensionless thermal slip parameter, Prandtl number, dimensionless temperature parameter on the flow, pressure, surface drag force, temperature and on the local Nusselt number is conducted out through graphs and tables and discussed in detail. It is noticed that the amplitude of the liquid velocity is a reducing function of the solid volume fraction parameter for copper and the velocity slip parameter, whereas it is enhanced with increasing solid volume fraction parameter for alumina.

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Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick’s model

Cited by 19 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

Heat transfer analysis in hydromagnetic flow of couple stress fluid in presence of homogeneous and heterogeneous chemical reactions over a porous oscillatory stretchable sheet

Heat transfer analysis in a curvilinear flow of hybrid nanoliquid across a curved oscillatory stretched surface with nonlinear thermal radiation

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