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1
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Numerical solutions and analysis of diffusion for new generalized fractional advection-diffusion equations

100%
Xu Y., Agrawal O.
Open Physics
|
2013
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vol. 11
|
issue 10
1178-1193
EN
In this paper we study a class of new Generalized Fractional Advection-Diffusion Equations (GFADEs) with a new Generalized Fractional Derivative (GFD) proposed last year. The new GFD is defined in the Caputo sense using a weight function and a scale function. The GFADE is discussed in a bounded domain, and numerical solutions for two examples consisting of a linear and a nonlinear GFADE are obtained using an implicit finite difference approach. The stability of the numerical scheme is investigated, and the order of convergence is estimated numerically. Numerical results illustrate that the finite difference scheme is simple and effective for solving the GFADEs. We investigate the influence of weight and scale functions on the diffusion of GFADEs. Linear and nonlinear stretching and contracting functions are considered. It is found that an increasing weight function increases the rate of diffusion, and a scale function can stretch or contract the diffusion on the time domain.
2
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Effects of partial slip on axisymmetric flow of an electrically conducting viscoelastic fluid past a stretching sheet

100%
Sahoo B.
Open Physics
|
2010
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vol. 8
|
issue 3
498-508
EN
The entrained flow of an electrically conducting non-Newtonian, viscoelastic second grade fluid due to an axisymmetric stretching surface with partial slip is considered. The partial slip is controlled by a dimensionless slip factor, which varies between zero (total adhesion) and infinity (full slip). Suitable similarity transformations are used to reduce the resulting highly nonlinear partial differential equation into an ordinary differential equation. The issue of paucity of boundary conditions is addressed, and an effective numerical scheme has been adopted to solve the obtained differential equation even without augmenting the boundary conditions. The important findings in this communication are the combined effects of the partial slip, magnetic interaction parameter and the second grade fluid parameter on the velocity and skin friction coefficient. It is observed that in presence of slip, the velocity decreases with an increase in the magnetic parameter. That is, the Lorentz force which opposes the flow leads to enhanced deceleration of the flow. Moreover, it is interesting to find that as slip increases in magnitude, permitting more fluid to slip past the sheet, the skin friction coefficient decreases in magnitude and approaches zero for higher values of the slip parameter, i.e., the fluid behaves as though it were inviscid.
3
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Water absorption of black chickpea using a finite difference method

100%
Dibagar N., Kowalski S. J., Chayjan R. A.
Chemical and Process Engineering
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2019
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vol. 40
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issue 3
4
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Computing intermodal conductivities in numerical modeling of two dimensional unsaturated flow on rectangular gird

86%
Szymkiewicz A., Burzyński K.
Archives of Civil Engineering
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2011
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issue 2
5
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Numerical Modeling of Melting Process of Thin Metal Films Subjected to the Short Laser Pulse

86%
Majchrzak E., Dziatkiewicz J.
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issue 4
6
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Dynamic response of three-layer annular plate with damaged composite facings

81%
Pawlus D., Pawlus D.
Archive of Mechanical Engineering
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2018
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vol. 65
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issue 1
7
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Dynamic stability of three-layered annular plates with viscoelastic core

81%
Pawlus D., Pawlus D.
Archive of Mechanical Engineering
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2008
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vol. 55
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issue 1
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