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Unsteady Hydromagnetic Couette Flow with Magnetic Field Lines Fixed Relative to the Moving Upper Plate
Edward Richard Onyango,
Mathew Ngugi Kinyanjui,
Surindar Mohan Uppal
Issue:
Volume 3, Issue 5, October 2015
Pages:
206-214
Received:
11 August 2015
Accepted:
22 August 2015
Published:
3 September 2015
Abstract: This study concerns a magnetohydrodynamic flow between two parallel porous plates with injection and suction in the presence of a uniform transverse magnetic field with the magnetic field lines fixed relative to the moving plate with a constant pressure gradient. The study is aimed to determine the velocity profiles, the effects of permeability, pressure gradient and induced magnetic field on the flow. The nonlinear partial differential equation governing the flow are solved numerically using the finite difference method and implemented in MATLAB. The results obtained are presented in tables and graphs and the observations discussed on the effects of varying various parameters on the velocity profiles. A change is observed to either increase, decrease or to have no effect on the velocity profiles. The effect of magnetic field, time and suction /injection on the flow are discussed. The results provide useful information to the engineers to improve efficiency and performance of machines.
Abstract: This study concerns a magnetohydrodynamic flow between two parallel porous plates with injection and suction in the presence of a uniform transverse magnetic field with the magnetic field lines fixed relative to the moving plate with a constant pressure gradient. The study is aimed to determine the velocity profiles, the effects of permeability, pr...
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Mass Transfer Flow Through an Inclined Plate with Porous Medium
Manjiul Islam,
Farjana Akter,
Ariful Islam
Issue:
Volume 3, Issue 5, October 2015
Pages:
215-220
Received:
7 August 2015
Accepted:
13 August 2015
Published:
5 September 2015
Abstract: The numerical studies are performed to examine the mass transfer flow through porous medium with an inclined plate. The governing partial differential equations are transformed to a system of dimensionless coupled partial differential equation. Finite difference technique is used as a tool for the numerical approach. The corresponding momentum, concentration and continuity equation are derived by employing the usual transformation, and finite difference method has been used to solve the above equations. The effects on the velocity and concentration distribution of various parameters entering into the problem separately are discussed with the help of graphs and tables.
Abstract: The numerical studies are performed to examine the mass transfer flow through porous medium with an inclined plate. The governing partial differential equations are transformed to a system of dimensionless coupled partial differential equation. Finite difference technique is used as a tool for the numerical approach. The corresponding momentum, con...
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Friction Coefficient’s Numerical Determination for Hot Flat Steel Rolling at Low Strain Rate
Peter Aiyedun,
O. Ogunlade,
A. O. Oni,
Olayide Adetunji
Issue:
Volume 3, Issue 5, October 2015
Pages:
221-228
Received:
14 July 2015
Accepted:
20 August 2015
Published:
7 September 2015
Abstract: In this paper, a non-linear quadratic expression of the coefficient of friction at both entry and exit sides have been derived from the equations of rolling load in Hot Rolling Bland and Ford’s program (HRBF). The study developed a numerical model for the estimation of coefficient of friction for steel (HC SS316) of different thicknesses on two high reversing mills. The equations for coefficient of friction on entry and exist sides of the mills were modelled from Hot Rolling Bland and Ford’s program (HRBF). The equations were modelled such that the friction coefficient can be expressed as a function of process parameters measurable during rolling. The capability of the model was verified by using a number of specimens of HC SS316 with predetermined hot rolling experimental data. A good agreement was noted between the predicted friction coefficient and the measured one.
Abstract: In this paper, a non-linear quadratic expression of the coefficient of friction at both entry and exit sides have been derived from the equations of rolling load in Hot Rolling Bland and Ford’s program (HRBF). The study developed a numerical model for the estimation of coefficient of friction for steel (HC SS316) of different thicknesses on two hig...
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Investigation of Order among Some Known T-norms
Shohel Babu,
Fatema Tuj Johora,
Abdul Alim
Issue:
Volume 3, Issue 5, October 2015
Pages:
229-232
Received:
26 August 2015
Accepted:
11 September 2015
Published:
26 September 2015
Abstract: In this paper, order among some known T-norms is investigated. Firstly, the T-norm which is the strongest or greatest and the T-norm which is the weakest is observed. Comparing two T-norms we establish the relation which is strong or weak. In addition, for parametric T-norms after changing the interval of their parameter a relation has established which is strong or weak. Finally, compared has done among three or more T-norms.
Abstract: In this paper, order among some known T-norms is investigated. Firstly, the T-norm which is the strongest or greatest and the T-norm which is the weakest is observed. Comparing two T-norms we establish the relation which is strong or weak. In addition, for parametric T-norms after changing the interval of their parameter a relation has established ...
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A Mathematical Model to Study the Human Brain Information Processing Dynamics
Shikaa Samuel,
Taparki Richard,
Ajai John Tyavbee,
Aboiyar Terhemen
Issue:
Volume 3, Issue 5, October 2015
Pages:
233-242
Received:
24 August 2015
Accepted:
15 September 2015
Published:
29 September 2015
Abstract: This research work studies the human brain information processing dynamics by transforming the stage model formulated by Atkinson and Shiffrin into two deterministic mathematical models. This makes it more amenable to mathematical analysis. The two models are bottom-up processing mathematical model and top-down processing mathematical model. The bottom-up processing is data driven while the top-down processing is triggered by experience or prior knowledge. Both analytical and numerical methods are used in the analysis of the models. The existence and stability of equilibrium states of the models are investigated, and threshold values of certain parameters of the models arising from the investigation were obtained and interpreted in physical terms. Numerical experiments are also carried out using hypothetical data to further investigate the effect of certain parameters on the human brain information processing process. The results show that attention, repetition and rehearsal play significant roles in learning process. Furthermore, repetition and rehearsal is strongly recommended as an effective way of retaining information. In addition, the instructors should ensure that the students feel physically and psychologically safe in any environment in order to pay adequate attention.
Abstract: This research work studies the human brain information processing dynamics by transforming the stage model formulated by Atkinson and Shiffrin into two deterministic mathematical models. This makes it more amenable to mathematical analysis. The two models are bottom-up processing mathematical model and top-down processing mathematical model. The bo...
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