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The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field
B. R. Sharma,
R. N. Singh,
Rupam Kr. Gogoi
Issue:
Volume 2, Issue 1, February 2014
Pages:
1-7
Received:
27 December 2013
Published:
20 February 2014
Abstract: The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimensional parameters viz, the baro-diffusion number, the Soret number, the product of Prandtl number and Eckert number, the Hartmann number, the electric parameter and the Magnetic Reynolds number affects the species separation significantly. The inclination of the channel has adverse effect on the rate of species separation while the intensity of the applied magnetic field enhanced the same.
Abstract: The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimen...
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On the Survival of Insurance Company’s Investment with Consumption under Power and Exponential Utility Functions
Bright Okore Osu,
Silas Abahia Ihedioha,
Joy Ijeoma Adindu-Dick
Issue:
Volume 2, Issue 1, February 2014
Pages:
8-13
Received:
19 January 2014
Published:
20 February 2014
Abstract: In this paper, the survival of insurance company’s investment with consumption is investigated under power and exponential utility functions. We take the risk reserve of an insurance company to follow Brownian motion with drift and tackle an optimal portfolio selection problem of the company. The investment case considered was insurance company that trades two assets: the money market account (bond) growing at a linear rate r and a risky stock with an investment behavior in the presence of a stochastic cash flow or a risk process, continuously in the economy.Under these functions, we obtained the optimal strategies. It is discovered that both utility functions are alike.
Abstract: In this paper, the survival of insurance company’s investment with consumption is investigated under power and exponential utility functions. We take the risk reserve of an insurance company to follow Brownian motion with drift and tackle an optimal portfolio selection problem of the company. The investment case considered was insurance company tha...
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Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel
Hassan Anthony Rotimi,
Gbadeyan Jacob Abiodun
Issue:
Volume 2, Issue 1, February 2014
Pages:
14-20
Received:
5 November 2013
Published:
20 February 2014
Abstract: This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields including bi-furcations and thermal criticality conditions are discussed.
Abstract: This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless...
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On the use of Discrete – Time Markov Process for HIV/AIDs Epidemic Modelling
Issue:
Volume 2, Issue 1, February 2014
Pages:
21-28
Received:
31 December 2013
Published:
28 February 2014
Abstract: In this research, a discrete-time Markov process for HIV/AIDs epidemic modeling, which takes into account the dynamic of the HIV; the number of susceptible contracting HIV, the number of infective developing AIDS and the parameters influencing these outcomes is designed. This is to determine the behaviour of the epidemic and to keep it under control. Each parameter in the model was varied at different values while others are kept constant to determine the effects of the parameter on the disease states, and to ultimately determine the more important parameter(s) necessary to control the epidemic. By simulation, it was revealed that the susceptible people in a population depletes in a negative exponential form after contracting HIV, the infectives grow and decay in a log logistic form, while the AIDS people in the population grow in a positive exponential form. The rate at which susceptible becomes infective and the rate at which infective becomes AIDS are crucial parameters which when kept low, the epidemic is kept under control.
Abstract: In this research, a discrete-time Markov process for HIV/AIDs epidemic modeling, which takes into account the dynamic of the HIV; the number of susceptible contracting HIV, the number of infective developing AIDS and the parameters influencing these outcomes is designed. This is to determine the behaviour of the epidemic and to keep it under contro...
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HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism
H. Vazquez-Leal,
L. Hernandez-Martinez,
Y. Khan,
V.M. Jimenez-Fernandez,
U. Filbello-Nino,
A. Diaz-Sanchez,
A.L. Herrera-May,
R. Castaneda-Sheissa,
A. Marin-Hernandez,
F. Rabago-Bernal,
J. Huerta-Chua,
S.F. Hernandez-Machuca
Issue:
Volume 2, Issue 1, February 2014
Pages:
29-35
Received:
14 February 2014
Published:
28 February 2014
Abstract: In this paper, homotopy perturbation method (HPM) is employed to provide an approximate, but detailed, solution for the nonlinear differential equation that describes the calcium stimulated calcium release mechanism. Comparison to the exact solutions shows that the method is extremely efficient, if initial guess is suitably chosen.
