Different Approximations to the Solution of Upper-Convected Maxwell Fluid over a Porous Stretching Plate

Dynamic response time is an important feature for determining the performance of magnetorheological (MR) dampers in practical civil engineering applications. The objective of this paper is to show how to use the Optimal Homotopy Asymptotic Method (OHAM) to give approximate analytical solutions of the nonlinear differential equation of a modified Bingham model with nonviscous exponential damping. Our procedure does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. OHAM is very efficient in practice for ensuring very rapid convergence of the solution after only one iteration and with a small number of steps.

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“…For p ∈ [0, 1] an embedding parameter and X an analytic function, we propose to construct a homotopy [29][30][31][32][33][34][35][36]:…”

Section: Basic Ideas Of the Optimal Homotopy Asymptotic Methodsmentioning

confidence: 99%

Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers

2017

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“…whereB 0 ðtÞ denotes the applied magnetic field. The theological model that illustrates the Sisko fluid [39][40][41][42][43] asT…”

Section: Problem Formulationmentioning

confidence: 99%

“…Sar et al 42 have been described boundary layer equations of Sisko fluid. Marinca et al 43 have studied Maxwell fluid flow through a porous stretching plates. Moallemi et al 44 have found an exact solution for Sisko fluid flow in a pipe.…”

Section: Introductionmentioning

confidence: 99%

Nanofluid thin film flow of Sisko fluid and variable heat transfer over an unsteady stretching surface with external magnetic field

Jawad

Shah

Islam

et al. 2019

Journal of Algorithms & Computational Technology

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This research paper investigates two dimensional liquid film flow of Sisko nanofluid with variable heat transmission over an unsteady stretching sheet in the existence of uniform magnetic field. The basic governing time-dependent equations of the nanofluid flow phenomena with Sisko fluid are modeled and reduced to a system of differential equations with use of similarity transformation. The significant influence of Brownian motion and thermophoresis has been taken in the nanofluids model. An optimal approach is used to obtain the solution of the modeled problems. The convergence of the Homotopy Analysis Method (HAM) method has been shown numerically. The variation of the skin friction, Nusselt number and Sherwood number, their influence on liquid film flow with heat and mass transfer have been examined. The influence of the unsteadiness parameter St over thin film is explored analytically for different values. Moreover for comprehension, the physical presentation of the embedded parameters, like b, magnetic parameter M, stretching parameter n and Sisko fluid parameters e, Prandtl number Pr, thermophoretic parameter Nt, Brownian motion parameter Nb, Schmidt number Sc have been represented by graph and discussed.

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“…In this paper, the optimal homotopy asymptotic method (OHAM) [12][13][14][15][16] is applied to obtain accurate, effective analytic approximate solutions. The quality of the approximate solutions is investigated using two important statistical tests: the Bartlett test and the Durbin-Wattson test.…”

Section: Introductionmentioning

confidence: 99%

Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing

2018

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This paper analytically investigates the ow as well as the chemically reactive solute transfer problem in a viscous uid. The motion equations are reduced to a nonlinear ordinary di erential equations system using the similarity transformations. The obtained nonlinear di erential system is for the rst time approximately solved by means of the Optimal Homotopy Asymptotic Method (OHAM). The e ects of the partial slip and suction/blowing parameters are analytically analyzed. Some examples are given; the obtained results provides us with a good agreement with the numerical results and reveal that our procedure is e ective, accurate and easy to use.

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Different Approximations to the Solution of Upper-Convected Maxwell Fluid over a Porous Stretching Plate

Cited by 14 publications

References 17 publications

Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers

Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers

Nanofluid thin film flow of Sisko fluid and variable heat transfer over an unsteady stretching surface with external magnetic field

Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing

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