Homotopy Analysis Method to Walter’s B fluid in a vertical channel with porous wall

Joneidi, A Amin Ahmadi; Domairry, G.; Babaelahi, Mojtaba

doi:10.1007/s11012-010-9295-y

Cited by 25 publications

(8 citation statements)

References 27 publications

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“…The elucidation of Walters-B liquid flow has been considered in most recent published research because of its various applications in food processing industries and technology. The flow of such fluids has been studies by Joneidi et al [11] whose model involved a vertical channel together with a penetrable wall. Kumar [12] solely presented work on viscoelastic liquid in a penetrable channel.…”

Section: Introductionmentioning

confidence: 99%

RETRACTED: Dynamics of MHD Convection of Walters B Viscoelastic Fluid through an Accelerating Permeable Surface Using the Soret–Dufour Mechanism

et al. 2022

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The MHD convective Walters-B memory liquid flow past a permeable accelerating surface with the mechanism of Soret-Dufour is considered. The flow equation constitutes a set of partial differential equations (PDEs) to elucidate the real flow of a non-Newtonian liquid. The radiation thermo-physical parameters were employed based on the use of Roseland approximation. This implies the fluid employed in this exploration is optically thick. Utilizing suitable similarity terms, the flow equation PDEs were simplified to become total differential equations. The spectral homotopy analysis method (SHAM) was utilized to provide outcomes to the model. The SHAM involves the addition of the Chebyshev pseudospectral approach (CPM) alongside the homotopy analysis approach (HAM). The outcomes were depicted utilizing graphs and tables for the quantities of engineering concern. The mechanisms of Soret and Dufour were separately examined. The imposed magnetism was found to lessen the velocity plot while the thermal radiation term elevates the temperature plot because of the warm particles of the fluid.

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Section: Introductionmentioning

confidence: 99%

RETRACTED: Dynamics of MHD Convection of Walters B Viscoelastic Fluid through an Accelerating Permeable Surface Using the Soret–Dufour Mechanism

et al. 2022

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“…Prakash et al [7] examined Magnetohydrodynamic dusty viscoelastic (Walters' liquid model-B) stratified type of fluid through a medium porosity with variable viscosity. Joneidi et al [8] used Homotopy Analysis Method to investigate Walters' B model fluid in a vertical channel via porous wall. Other researchers like [9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Effect of Chemical Reaction and Thermo-Diffusion in an Electrically Conducting Walters’ B Fluid over a Vertical Stretching Surface

Akinbo¹,

Olajuwon²,

Osinuga³

et al. 2021

TI-IJES

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In this article, the significance of chemical reaction and thermo-diffusion in Walters’ B fluid is examined with medium porosity under the influence of non-uniform heat generation\absorption. The nonlinear ordinary differential equations describing the flow are obtained via similarity variables and tackled by Homotopy Analysis Method. The results show among others that involvement of chemical reaction contributes to the shrinking of concentration buoyancy effect while dimensionless temperature overshoot with large values of convective heat parameter and heat generation\absorption which enable thermal potency to gain entrance to the quiescent-fluid, indicating that the two parameters can be used for drying of the components.

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“…The mentioned situations usually involve the fluid having non-Newtonian behaviour with some elastic characteristics because most of them are the suspension of particles in Newtonian fluid with fading memory. Walter's B fluid model with limiting viscosity at low shear rates and short memory coefficient [2] is the best model for mentioned situations as discussed in literature [3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear peristaltic flow of Walter's B fluid in an asymmetric channel with heat transfer and chemical reactions

2014

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In this paper, effects of heat and mass transfer on peristaltic transport ofWalter's B fluid in an asymmetric channel are investigated. The governing equations are solved using regular perturbation method by taking wave number as a small parameter. Expressions for the stream function, temperature distribution, heat transfer coefficient, and mass concentration are presented in explicit form. Solutions are analyzed graphically for different values of arising parameters such as viscoelastic parameter, Prandtl, Eckert, Soret, Schmidt, and Reynolds number. It has been found that these parameters considerably affect the considered flow characteristics. Results show that with an increase in Eckert and Prandtl number temperature and heat transfer coefficient increase while mass concentration decreases. Further, Mass concentration also decreases with increasing Soret and Schmidt number.

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Homotopy Analysis Method to Walter’s B fluid in a vertical channel with porous wall

Cited by 25 publications

References 27 publications

RETRACTED: Dynamics of MHD Convection of Walters B Viscoelastic Fluid through an Accelerating Permeable Surface Using the Soret–Dufour Mechanism

RETRACTED: Dynamics of MHD Convection of Walters B Viscoelastic Fluid through an Accelerating Permeable Surface Using the Soret–Dufour Mechanism

Effect of Chemical Reaction and Thermo-Diffusion in an Electrically Conducting Walters’ B Fluid over a Vertical Stretching Surface

Nonlinear peristaltic flow of Walter's B fluid in an asymmetric channel with heat transfer and chemical reactions

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