Analysis of Hartmann boundary layer peristaltic flow of Jeffrey fluid: Quantitative and qualitative approaches

Yasmeen, Shagufta; Asghar, S.; Anjum, Hafiz Junaid; Ehsan, Tayyaba

doi:10.1016/j.cnsns.2019.01.007

Cited by 28 publications

(6 citation statements)

References 33 publications

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“…These include both bounded and unbounded periodic solutions. In recent years, theory of the dynamical system has generated a lot of interest in the study of nonlinear equations arising in plasma physics and fluid mechanics [47][48][49][50][51][52][53][54][55][56].…”

Section: Introductionmentioning

confidence: 99%

Quantitative and qualitative analyses of the mKdV equation and modeling nonlinear waves in plasma

et al. 2023

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In this paper, nonlinear electrostatic structures on the ion time scale in plasma consisting of two populations of electrons (cold and hot), positrons, and warm adiabatic ions are investigated. The multiple scale method is used to derive the modified Korteweg–de Vries equation (mKdVE). The Jacobi elliptic function expansion method (JEFEM) is employed to find some exact analytical solutions such as periodic, solitonic, and shock solutions. It is shown that the variation in the plasma parameters of interest, for our model, allows the existence of solitary and periodic structures and no shocks. It is also shown that the most important plasma parameters for the plasma model under consideration are positron concentration, α, and the percentage of cold and hot electrons, represented by the parameters μ and ν, respectively. Additionally, the qualitative behavior of the mKdVE is studied using dynamical system theory. The topological structure of the solution is discussed in the phase plane. In this work, the phase plane analysis, which is restricted to the discrete values of the parameter, is extended to the continuous range of the parameter using a bifurcation diagram. Bifurcation diagrams are drawn to forecast the behavior of the solution for specifically chosen essential plasma parameters. The analytical solution and the qualitative behavior of the solution presented in this paper are shown to be compatible with each other. The results presented here are general and can be gainfully employed to study a variety of nonlinear waves in space, laboratory plasmas, and astrophysical plasmas.

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Section: Introductionmentioning

confidence: 99%

Quantitative and qualitative analyses of the mKdV equation and modeling nonlinear waves in plasma

et al. 2023

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“…Yang and Jian discussed the electromagnetic flow of Jeffrey fluid in a parallel microchannel [16]. Yasmeen et al [17] talked over peristalsis in axisymmetric tube for Jeffrey fluid in a strong magnetic field, and the important characteristics of peristaltic flow, velocity, and pressure rise are calculated and analyzed; in the presence of an applied magnetic field, a vertical cylindrical natural convection magnetohydrodynamic flow is introduced by Kumar et al [18]. Aleem et al [19] explored the free convective and unsteady flow of Jeffrey fluid between the two hot vertical parallel plates in porous media and gave the accurate solutions of velocity and temperature with the Laplace transform method.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential

Ren

Zhang

Cui

et al. 2022

Advances in Mathematical Physics

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The unsteady electroosmotic flow (EOF) for one kind of linear viscoelastic fluid, which is Jeffrey type fluid, is investigated under the common impact of vertical magnetic field, external electric field, and pressure at high Zeta potential in a circular microchannel. The numerical solutions of the potential and velocity distributions are obtained by solving the nonlinear Poisson-Boltzmann equation, the constitutive equation of the Jeffrey fluid, and the Cauchy momentum equation applying the Chebyshev spectral method and the finite difference method. By contrast, the Chebyshev spectral method has higher accuracy and less computation. The flow characteristics of Jeffrey fluid at high Zeta potential are analyzed with the numerical solution obtained by the Chebyshev spectral method. The results show that the velocity of Jeffrey fluid increases with the increase of the wall Zeta potential and electric width. The oscillation amplitude of velocity distribution increases with the increase of relaxation time but decreases with the increase of retardation time. When the Hartmann number is smaller, the increase of relaxation time leads to the increase of velocity; when the Hartmann number is larger, the increase of relaxation time leads to the decrease of velocity. No matter what the Hartmann number is, the velocity always decreases with the increase of the retardation time. The velocity tends to be stable gradually with the increase of time.

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“…[5] For recent developments in Jeffrey fluid interested readers may consult in Refs. [6][7][8][9][10][11] A colloidal suspension of nanoparticles (1 nm-100 nm) into base fluids such as water, Ethylene, bio-fluids, oil, and other lubricants, etc. is a nanofluid or nanomaterial.…”

Section: Introductionmentioning

confidence: 99%

Physical aspects of magnetized Jeffrey nanomaterial flow with irreversibility analysis

Haq¹,

Khan²,

Khan³

et al. 2022

Chinese Phys. B

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This analysis presents the applications of entropy generation phenomenon in incompressible flow of Jeffrey nanofluid in presence of distinct thermal features. The novel aspects of various features like Joule heating, porous medium, dissipation features and radiative mechanism is addressed. In order to improve the thermal transportation systems based on nanomaterials, the convective boundary conditions are introduced. The thermal viscoelastic nanofluid model is expressed in term of differential equations. The problem is presented via nonlinear differential equations for which analytical expressions are obtained by using homotopy analysis method(HAM). The accuracy of solution is ensured. The effective outcomes of all physical parameters associated with the flow model are carefully examined and underlined through various curves. The observations summarized from current analysis reveal that presence of permeability parameter offers resistance to the flow. A monotonic decrement in local Nusselt number is noted with Hartmann number and Prandtl number. Moreover, entropy generation and Bejan number increases with radiation parameter and fluid parameter.

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Analysis of Hartmann boundary layer peristaltic flow of Jeffrey fluid: Quantitative and qualitative approaches

Cited by 28 publications

References 33 publications

Quantitative and qualitative analyses of the mKdV equation and modeling nonlinear waves in plasma

Quantitative and qualitative analyses of the mKdV equation and modeling nonlinear waves in plasma

Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential

Physical aspects of magnetized Jeffrey nanomaterial flow with irreversibility analysis

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