Convective Transport of Nanofluid Saturated with Porous Layer
Jada Prathap Kumar,
Jawali Channabasappa Umavathi,
Channakeshava Murthy
Issue:
Volume 5, Issue 1, February 2017
Pages:
1-13
Received:
10 November 2016
Accepted:
26 November 2016
Published:
18 January 2017
Abstract: In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity ratio, on the stability of the system is investigated. Stationary and Oscillatory modes of convections has been studied. The linear stability analysis is based on normal mode technique, while then on linear theory is based on the truncated representation of Fourier series method. A weekly nonlinear analysis is used to obtain the concentration and thermal Nusselt number. The behavior of the concentration and thermal Nusselt number is investigated by solving the finite amplitude equations. Obtained results have been presented graphically and discussed in details.
Abstract: In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity...
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Application of the Differential Transform Method for the Nonlinear Differential Equations
Mohand M. Abdelrahim Mahgoub,
Abdelbagy A. Alshikh
Issue:
Volume 5, Issue 1, February 2017
Pages:
14-18
Received:
15 October 2016
Accepted:
28 October 2016
Published:
18 January 2017
Abstract: This paper aims to find analytical solutions of some analytical solutions of some non-linear differential equations using a new integral transform ''Aboodh transform'' with the differential transform method. The nonlinear terms can be easily handled by the use of differential transform method. This method is more efficient and easy to handle such differential equations in comparison to other methods. The results reveal that this method is very efficient, simple and can be applied to other nonlinear problems
Abstract: This paper aims to find analytical solutions of some analytical solutions of some non-linear differential equations using a new integral transform ''Aboodh transform'' with the differential transform method. The nonlinear terms can be easily handled by the use of differential transform method. This method is more efficient and easy to handle such d...
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Smoking as Epidemic: Modeling and Simulation Study
Sintayehu Agegnehu Matintu
Issue:
Volume 5, Issue 1, February 2017
Pages:
31-38
Received:
4 December 2016
Accepted:
23 December 2016
Published:
23 February 2017
Abstract: In this paper we propose smoking epidemic model which analyzes the spread of smoking in a population. The model consists of five compartments corresponding to five population classes, namely, potential-moderate-heavy-temporarily recovered- permanently recovered class. The basic reproduction number R0 has been derived, and then the dynamical behaviors of both smoking free equilibrium and smoking persistent equilibrium are analyzed by the theory of differential equation, and Numerical simulation has been carried out and the results have confirmed the verification of analytical results. Sensitivity analysis of R0 identifies β1, the transmission coefficient from potential smokers to moderate smokers and β2, the transmission coefficient from potential smokers to heavy smokers, as the most useful parameters to target for the reduction of R0.
Abstract: In this paper we propose smoking epidemic model which analyzes the spread of smoking in a population. The model consists of five compartments corresponding to five population classes, namely, potential-moderate-heavy-temporarily recovered- permanently recovered class. The basic reproduction number R0 has been derived, and then the dynamical behavio...
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update. This update is based on a new Zhang Xu condition we show that 
