MHD Free Convection Flow Through Porous Medium in a Vertical Channel

Vol.3  No.3

Year : 2014

Issue : Jul-Sep

Title :  MHD Free Convection Flow Through Porous Medium in a Vertical Channel

Author Name : Hari Priya.G, Bhuvana Vijaya.R , Siva Prasad.R

Synopsis : 

The effect of radiation on MHD free convection three dimensional flow in a vertical channel filled with porous medium has been studied. The authors have considerd an electrically conducting incompressible viscous fluid in a parallel plate channel bounded by a loosely packed porous medium. The fluid is driven by a uniform pressure gradient parallel to the channel plates and the entire flow field is subjected to a uniform inclined magnetic field of strength H inclined at an 0 angle of inclination a with the normal to the boundaries in the transverse xy-plane. The temperature of one of the plates varies periodically and the temperature difference of the plates is high enough to induce radiative heat transfer. The effects of various parameters on the velocity profiles, the skin friction, temperature field, rate of heat transfer in terms of their amplitude and phase angles are shown graphically.

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Dufour Effect on a Viscous MHD Flow Past An Oscillating Infinite Vertical Plate With Variable Temperature and Variable Mass through Porous Media

Vol.3  No.3

Year : 2014

Issue : Jul-Sep

Title : Dufour Effect on a Viscous MHD Flow Past An Oscillating Infinite Vertical Plate With Variable Temperature and Variable Mass through Porous Media

Author Name : M.Rajaiah, Sudhakaraiah.A , Sivaiah.M , Venkatalakshmi.p

Synopsis : 

This paper analyzes the Dufour and Soret effects on the MHD flow with heat and mass transfer on flow past an oscillating infinite vertical plate with variable temperature and variable mass through porous medium. The dimensionless governing partial differential equations are solved by using finite difference method. The velocity, temperature and concentration profiles are considered for different physical parameters. The results are analyzed through graphs and tables. It is observed that the velocity profiles increase through increase in Dufour (Du) and Soret (Sr) numbers and decrease with increase in permeability (K) and suction parameter (V ). An increase in increase in Du, leads to increase 0 in the temperature. The concentration profiles increase with increase in Prandtl (Pr) and Soret numbers, wt and decreases through increase in Schmidt number (Sc), , Du, and also with suction V . The shear stress increases with 0 increase in modified Gr, K, Ec, Du, Sc, V and decreases through an increase in Hartmann (M)and Grashof (Gr) numbers, 0 Pr, Sr, and . Increase in M, Gc, K, Pr, Sr, and V causes decrease in the rate of heat transfer and increase in Gr, Ec, Du, , 0 and Sc leads to increase in the rate of heat transfer. The rate of mass transfer increases through an increase in M, Gr, Gc, K, Pr, Du, and V and decreases with an increase in Ec, Sr, , and Sc. In the absence of suction, viscous dissipation, and 0 mass transfer, the results obtained were good agreement with Sarswat and Srivastava (16). The graphs are drawn to show the comparative study.

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Radiation and Chemical Reaction Effects on MHD Flow Over An Infinite Vertical Oscillating Porous Plate With Soret Effect

Vol.3  No.3

Year : 2014

Issue : Jul-Sep

Title : Radiation and Chemical Reaction Effects on MHD Flow Over An Infinite Vertical Oscillating Porous Plate With Soret Effect

Author Name : B.lavanya lavanya, s mohammed ibrahim, Leela Ratnam.A

Synopsis : 

This work is focused on the non linear MHD flow heat and mass transfer characteristics of an incompressible, viscous, electrically conducting and Boussinesq fluid over a vertical oscillating porous permeable plate in presence of homogeneous chemical reaction of first order, thermal radiation and soret effects. The problem is solved analytically using the perturbation technique for the velocity, the temperature, and the concentration field. The expression for the skin friction, Nusselt number and Sherwood number are obtained. The effects of various thermo-physical parameters on the velocity, temperature and concentration as well as the skin-friction coefficient, Nusselt number and Sherwood number has been computed numerically and discussed qualitatively.

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Fundamental Concepts of Queuing Theory and Their Applications

Vol.3  No.3

Year : 2014

Issue : Jul-Sep

Title : Fundamental Concepts of Queuing Theory and Their Applications

Author Name : Robert Joan D.R

Synopsis : 

The aim of the paper is to give a collection of some important concepts of queuing theory and their applications. Queuing theory is the mathematical study of waiting lines that enables mathematical analysis of several related processes, including arriving at the queue, waiting in the queue, and being served by the Service Channels at the front of the queue. Queuing theory examines every component of waiting in line to be served, including the arrival process, service process, number of servers, number of system places and the number of customers. Also the author gives notations used for queuing models and characteristics of queuing theory. Queuing models can help in balancing the cost related to capacity planning of service system and the cost incurred due to waiting time of customers.

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Trichotomous Progression Analysis: An Advanced Comprehensive Statistical Post Hoc Measure Of The Tri–Squared Test

Vol.3  No.3

Year : 2014

Issue : Jul-Sep

Title : Trichotomous Progression Analysis: An Advanced Comprehensive Statistical Post Hoc Measure Of The Tri–Squared Test

Author Name : Dr. James Osler

Synopsis : 

This monograph provides an epistemological rational for the Post Hoc Trichotomous Progression Analysis of the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in i-manager’s Journal on Mathematics, and further expounded and detailed in the Journal on Educational Technology, Journal on School Educational Technology, and in Journal on Educational Psychology. This particular advanced statistical metric is designed to measure the predictive outcomes of the outcomes of a significant Transformative Trichotomy–Squared [Tri–Squared] Test. To further explain the Trichotomous Progression Analysis mathematically, “Proximal Positive Parallel Notation” (a novel mathematical notation is used to define the relationship between values)is used to construct the Trichotomous Progression Line. The Progression Line describes the attributes of the Post Hoc significant outcomes as values that describe a specific set of Tri–Squared Test results. This novel approach to advanced Tri–Squared research as an advanced data analysis methodology adds additional value, breadth, and depth to the Tri–Squared mixed methods approach by further enhancing and adding to the rigor of trichotomous research design. Multiple sequential mathematical models are provided that illustrate the methodology used to determine advanced trichotomous progression inquiry.

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Reliability Analysis Of A Waste Water Treatment Plant With Inspection

Vol.3  No.2

Year : 2014

Issue : Apr-Jun

Title : Reliability Analysis Of A Waste Water Treatment Plant With Inspection

Author Name : Syed Mohd Rizwan, Joseph V Thanikal

Synopsis : 

The paper presents a methodology of estimating various reliability indices for analyzing a wastewater treatment plant. The continuous operation of the plant is of utmost importance and therefore its reliability analysis under different stipulated conditions helps in understanding the overall plant performance. Relevant data for a specific waste water treatment plant have been used to validate the methodology. Here, the plant failure is categorized into minor or major reasons of failures and the type of failure is detected by inspection only. Semi-Markov process and regenerative point techniques are used in the entire analysis.

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An Introduction to Learn Mathematical Knot Theory with Knot Polynomial

Vol.3  No.2

Year : 2014

Issue : Apr-Jun

Title : An Introduction to Learn Mathematical Knot Theory with Knot Polynomial

Author Name : Robert Joan D.R

Synopsis : 

In this article, the author discussed the concept of Mathematical Knot Theory and Knot Polynomial. And finally the author collects different knots which are used in the mathematical knot theory. In Mathematics, a knot is an embedding of a 3 circle in 3-dimensional Euclidean space, R , considered up to continuous deformations (isotopies). A crucial difference between the standard mathematical and conventional notions of a knot is that, mathematical knots are closed-there are no ends to tie or untie on a mathematical knot. Physical properties such as friction and thickness also do not apply, although there are mathematical definitions of a knot that take such properties into account. The term knot is also j n applied to embeddings of S in S , especially in the case j= n-2. The branch of Mathematics that studies about knot is known as Knot Theory.

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STEM on Ice: Using figure skating and modeling to apply scientific concepts

Vol.3  No.2

Year : 2014

Issue : Apr-Jun

Title : STEM on Ice: Using figure skating and modeling to apply scientific concepts

Author Name :  Diana Cheng, Asli Sezen Barrie

Synopsis : 

In light of recent national efforts to create interdisciplinary STEM activities, a mathematics and physics modeling context for prospective middle school teachers is presented. The activity relates pairs figure skating lifts with the conservation of linear momentum inelastic collision equation. Preservice teachers' work is analyzed in terms of their use of the inquiry process, teacher talk, and use of scientific concepts relevant to the activity.

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Synchronization of Circular Restricted Three Body Problem with Liu Hyper Chaotic System using a Robust Adaptive Sliding Mode Controller

Vol.3  No.2

Year : 2014

Issue : Apr-Jun

Title : Synchronization of Circular Restricted Three Body Problem with Liu Hyper Chaotic System using a Robust Adaptive Sliding Mode Controller

Author Name :  Ayub Khan, Mohammad Shahzad

Synopsis : 

In this computational study, the authors synchronize the Circular Restricted Three Body Problem (CRTBP) with Liu Hyper Chaotic System (LHCS) using a Robust Adaptive Sliding Mode Controller (RASMC) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external disturbances and unknown parameters. All simulations to achieve the synchronization for the proposed technique for the two non-identical systems under consideration are being done using Mathematica.

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The Trimetric Tri–Squared Test: An Advanced Post Hoc Exact Test Designed to Statistically Determine Construct Validity

Vol.3  No.2

Year : 2014

Issue : Apr-Jun

Title : The Trimetric Tri–Squared Test: An Advanced Post Hoc Exact Test Designed to Statistically Determine Construct Validity

Author Name :  Dr. James Osler

Synopsis : 

This monograph provides a logical and epistemological rational for the Post Hoc testing of the instrumentation used in the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in the Journal on Mathematics and expounded upon in the Journal on Educational Psychology. An advanced Post Hoc statistical measure using the Del Differential Operator and Matrix Algebra is used to determine the Construct Validity of researcher designed instruments using the Tri–Squared research design parameters. This additional novel approach to advanced data analysis adds additional value to Tri–Squared as an innovative mixed methods approach to investigative inquiry.

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