Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method

Hoshyar, H.A.; Ganji, D.D.; Borran, A.R.; Falahati, M Naghibi

doi:10.1590/1679-78251807

Cited by 6 publications

(2 citation statements)

References 16 publications

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“…In another investigation, Hoshyar et al. [17] focused on unsteady incompressible Newtonian fluid flow between two parallel plates using the same method. Despite the fact these studies are dealing with the flow between parallel plates subjected to external movement effects, the non-Newtonian as well as oscillatory fluid motion is still remained as an intact expansion of the pointed out studies.…”

Section: Introductionmentioning

confidence: 99%

A numerical study on nonlinear dynamics of oscillatory time-depended viscoelastic flow between infinite parallel plates: utilization of symmetric and antisymmetric Chandrasekhar functions

Roohi

Ashrafi

Samghani

et al. 2019

Heliyon

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The one-dimensional viscoelastic fluid flow between two infinite parallel plates with oscillatory inlet condition is examined using the Johnson–Segalman model. The symmetric and antisymmetric Chandrasekhar functions in space are utilized to represent the velocity and stress fields. The non-dimensional form of the conservation laws in addition to the constitutive equations are solved numerically based on the Galerkin projection method. Two critical Weissenberg numbers (We) for various Reynolds numbers (Re) and viscosity ratios (ε) are obtained to determine the stable range of nonlinear system behavior. Moreover, for the unsteady case, the effects of Re, viscosity ratio of solvent to solution as well as We are investigated. According to the obtained results, increasing of oscillations frequency in subcritical zone, the same as low frequency case, has almost no effect on the velocity and its gradient. Nevertheless, the normal stress amplitude of oscillations is reduced. The Re number determines the number of oscillations and the needed time prior to the steady condition. For lower Re, due to higher effect of viscosity, the initial fluctuations are intensely occurred in a short time period in contrary to the high Re case.

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Section: Introductionmentioning

confidence: 99%

A numerical study on nonlinear dynamics of oscillatory time-depended viscoelastic flow between infinite parallel plates: utilization of symmetric and antisymmetric Chandrasekhar functions

Roohi

Ashrafi

Samghani

et al. 2019

Heliyon

View full text Add to dashboard Cite

show abstract

“…Its freedom to choose different base functions to approximate a nonlinear problem and its ability to control the convergence of the solution series have been very advantageous in solving highly nonlinear problems in science and engineering (Hoseini et al, 2008;Hoshyar et al, 2015;Mastroberardino, 2011;Mehrizi et al, 2012;Mustafa et al, 2012;Pirbodaghi and Hoseini, 2009;Qian et al, 2011;Ray and Sahoo, 2015;Sedighi et al, 2012;Wen and Cao, 2007;Wu et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of Cantilever Timoshenko Beams: A Homotopy Analysis

Shahlaei-Far

Nabarrete

Balthazar

2016

Lat. Am. j. solids struct.

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This study analyzes the fourth-order nonlinear free vibration of a Timoshenko beam. We discretize the governing differential equation by Galerkin's procedure and then apply the homotopy analysis method (HAM) to the obtained ordinary differential equation of the generalized coordinate. We derive novel analytical solutions for the nonlinear natural frequency and displacement to investigate the effects of rotary inertia, shear deformation, pre-tensile loads and slenderness ratios on the beam. In comparison to results achieved by perturbation techniques, this study demonstrates that a first-order approximation of HAM leads to highly accurate solutions, valid for a wide range of amplitude vibrations, of a highorder strongly nonlinear problem.

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Thermal Performance Evaluation of MHD Nanofluid Transport Through a Rotating System Undergoing Uniform Injection/Suction with Heat Generation

Akinshilo

2019

BioNanoSci.

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Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method

Cited by 6 publications

References 16 publications

A numerical study on nonlinear dynamics of oscillatory time-depended viscoelastic flow between infinite parallel plates: utilization of symmetric and antisymmetric Chandrasekhar functions

A numerical study on nonlinear dynamics of oscillatory time-depended viscoelastic flow between infinite parallel plates: utilization of symmetric and antisymmetric Chandrasekhar functions

Nonlinear Vibrations of Cantilever Timoshenko Beams: A Homotopy Analysis

Thermal Performance Evaluation of MHD Nanofluid Transport Through a Rotating System Undergoing Uniform Injection/Suction with Heat Generation

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