A semi-analytical solution of micro polar flow in a porous channel with mass injection by using differential transform method

Rashidi, M. M.; Pour, S.A. Mohimanian; Laraqi, Najib

doi:10.15388/na.15.3.14329

Cited by 28 publications

(6 citation statements)

References 9 publications

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“…To solve the systems (10) and (11) we use the iterative method (successive over relaxation -SOR) which is a generalization of and improvement on the Gauss-Seidel method. The principal of this method consists in the computing a given function at the iteration (k+1) ( 1) , k i j f + by using a linear combination between the value at the previous iteration (k) ( ) , k i j f and that estimated during the iterative process f i,j .…”

Section: Numerical Modeling For Validationmentioning

confidence: 99%

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Analytical modeling of the thermal behavior of a thin lubricant film under nonlinear conditions

Laraqi¹,

Péter²,

Lamriben³

et al. 2017

THERM SCI

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Lubrication is an important phenomenon in a wide field of industry such as automotive, aerospace, mechanical transmission systems, and many others. The viscosity of fluid is a determining factor in the thermal behaviour of lubricant and solid surfaces in friction. In practice the viscosity varies strongly as a function of local pressure and temperature. In this study we are interested in the effect of temperature on the viscosity and the thermal behavior of the lubricant. We solve the dynamic and energy equations under non-linear conditions considering that the viscosity decreases following an exponential law of the temperature as it is known in the literature, 0

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Section: Numerical Modeling For Validationmentioning

confidence: 99%

“…This behaviour leads to solving non-linear equations. Several studies were devoted to a non-linear phenomenon in heat transfer [9][10][11]. Authors suggested various methods to solve the non-linear governing equations.…”

Section: Introductionmentioning

confidence: 99%

Analytical modeling of the thermal behavior of a thin lubricant film under nonlinear conditions

Laraqi¹,

Péter²,

Lamriben³

et al. 2017

THERM SCI

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“…The theory of micropolar fluids was first established by Eringen [17,18]. Intensive studies on the micropolar fluid flow in a channel have been carried out by Darvishi et al [19], Ashraf et al [20], Rashidi et al [21], Ziabakhsh and Domairry [22], Joneidi et al [23] and Si et al [24]. Nevertheless, so far, few literature deal with multiple solutions of a micropolar fluid in a porous channel with accelerating walls.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study of Multiple Solutions for Laminar Flows in a Porous and Moving Channel

Fen

Lin

et al. 2018

NMTMA

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In this paper, based on the finite element formulation, we focus on multiple solutions and their evolution with time for a laminar flow in a permeable channel with expanding or contracting walls. Both Newtonian fluid and micropolar fluid are considered. For the Newtonian fluid model, we find that the profile of the unique solution in the case of injection remains the same for long time, which indicates that the solution may be stable. On the other hand, in the case of large suction, the profile of multiple solutions changes in time, which suggests that the multiple solutions may be unstable. Similar behaviors and conclusions are observed for the micropolar fluid model under different boundary parameters.

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“…There are several studies available in the literature dealing with the flows of such type. Some of the very recent/relevant are mentioned here (Goto and Uchida, 1990;Dauenhauer and Majdalani, 2003;Majdalani et al, 2002;Boutros et al, 2007;Srinivas and Muthuraj, 2011;Hassan and Rashidi, 2014;Rashidi et al, 2010). A brief history of the problem is given by Ahmed et al (2014).…”

Section: Introductionmentioning

confidence: 99%

Flow of a radioactive Casson fluid through a deformable asymmetric porous channel

Mohyud‐Din

Ahmed

Khan

2017

HFF

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Purpose The purpose of this study is to investigate numerically the influence of nonlinear thermal radiation on the flow of a viscous fluid. The flow is confined in a channel with deformable porous walls. Design/methodology/approach Two numerical schemes, namely, Galerkin’s method (GM) and Runge–Kutta–Fehlberg (RKF) method have been used to obtain solutions after reducing the governing equations to a system of nonlinear ordinary differential equations. Findings Heat transfer rate falls at the upper wall owing to the decreasing values of the permeability parameter. However, at the lower wall, the same rate rises. Increment in θw increases the rate of heat transfer at both walls. Nusselt number also increases with the increasing values of Rd. Rd also uplifts the temperature distribution, except for the case where it falls near the lower wall owing to the contraction coupled with injection. Originality/value It is confirmed that the presented work is original.

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A semi-analytical solution of micro polar flow in a porous channel with mass injection by using differential transform method

Cited by 28 publications

References 9 publications

Analytical modeling of the thermal behavior of a thin lubricant film under nonlinear conditions

Analytical modeling of the thermal behavior of a thin lubricant film under nonlinear conditions

A Numerical Study of Multiple Solutions for Laminar Flows in a Porous and Moving Channel

Flow of a radioactive Casson fluid through a deformable asymmetric porous channel

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