i-manager's Journal on Mathematics (JMAT)


Volume 6 Issue 3 July - September 2017

Research Paper

Triangular Equation Modeling [TEM]: The Base Operation, Basic Rationale, and Foundational Logic that is the Basis for “Research Architectural Metrics” that are Essential to the Planning, Scope, and Schema of Trichotomous Research Designs

James Edward Osler II*
Associate Professor, Department of Curriculum and Instruction, North Carolina Central University, USA.
Osler, J. E., II. (2017). Triangular Equation Modeling [TEM]: The Base Operation, Basic Rationale, and Foundational Logic that is the Basis for “Research Architectural Metrics” that are Essential to the Planning, Scope, and Schema of Trichotomous Research Designs. i-manager’s Journal on Mathematics, 6(3), 1-11. https://doi.org/10.26634/jmat.6.3.13648

Abstract

This monograph provides an epistemological rational to aid educators with the design of inquiry in trichotomous research. “Triangular Equation Modeling” (or “TEM”) is a simple but precise research methodology for the creation of accurate and in–depth research questions, and trichotomous variables for the aggregation of data on a specifically identified criterion. Triangular Equation Modeling builds the foundation for the Tri-Squared Test in a Tri-Coordinate set of variables in dual Cartesian coordinates [x and y]. It is a basic research method that involves detailing research principles in a precise isometric model so that instrumentation can be created for research analysis and investigation.

Research Paper

Probabilistic Modeling And Analysis of A Cable Plant Subsystem With Priority To Repair Over Preventive Maintenance

S.Z. Taj* , 0**, B.M. Alkali***, D.K. Harrison****, G. Taneja*****
* Lecturer, Department of Mathematics & Statistics, Caledonian College of Engineering, Sultanate of Oman.
** Professor and Head, Department of Mathematics & Statistics, Caledonian College of Engineering, Sultanate of Oman.
*** Assistant Head, Department of Mechanical Engineering, Glasgow Caledonian University, UK.
**** Professor, Department of Mechanical Engineering, Glasgow Caledonian University, UK.
***** Professor, Department of Mathematics, Maharshi Dayanand University, Haryana, India.
Taj, S.Z., Rizwan, S.M., Alkali, B.M., Harrison, D.K., and Taneja, G. (2017). Probabilistic Modeling and Analysis of A Cable Plant Subsystem with Priority to Repair Over Preventive Maintenance. i-manager’s Journal on Mathematics, 6(3), 12-21. https://doi.org/10.26634/jmat.6.3.13649

Abstract

The paper presents probabilistic modeling and analysis of a cable plant subsystem with two identical machines operating in parallel. Seven year's failure data of the cable plant depicts three types of maintenances for the subsystem: repair, minor preventive maintenance and major preventive maintenance. The subsystem undergoes repair upon failure while minor and major preventive maintenance is performed as per schedule. Priority is given to repair over preventive maintenance. Mean time to failure, availability, expected busy period and expected number of repairs have been estimated by analyzing the subsystem using semi Markov process and regenerative point technique. Graphs have been established to demonstrate simulated results.

Research Paper

Unsteady Free convective flow over a moving semi-infinite vertical cylinder:A Darcy Model

CH. Amanulla* , N. Nagendra**, M. Suryanarayana Reddy***
This paper has been removed due to plagiarized work from the original paper entitled "Transient free convective flow over a moving vertical cylinder in the presence of porous medium" by Dr. P. Loganathan and M. Dhivya submitted towards National Conference on Applied Nonlinear Dynamics (2016).

Abstract

Research Paper

An Unsteady Mhd Mixed Convection Flow Past A Vertical Porous Plate With Soret Effect And Viscous Dissipation in the Presence of Thermal Radiation And Chemical Reaction

K. Sidda Reddy* , G.S.S. Raju**
* Assistant Professor, Department of Mathematics, JNTUA College of Engineering, Pulivendula, Andhra Pradesh, India.
** Professor, Department of Mathematics, JNTUA College of Engineering, Pulivendula, Andhra Pradesh, India.
Reddy, K.S., and Raju, G.S.S. (2017). An Unsteady Mhd Mixed Convection Flow Past A Vertical Porous Plate With Soret Effect And Viscous Dissipation in the Presence of Thermal Radiation And Chemical Reaction. i-manager’s Journal on Mathematics, 6(3), 32-44. https://doi.org/10.26634/jmat.6.3.13659

Abstract

The unsteady MHD mixed convection flow past an infinite vertical porous plate embedded in a porous medium in the presence of thermal radiation and chemical reaction with viscous dissipation, heat source and soret effect have been investigated. The governing equations for this investigation are solved analytically using two-term harmonic and nonharmonic functions by Perturbation technique. The effects of various parameters like Radiation parameter, Soret number, Schmidt number, Chemical reaction parameter and Prandtl number on the velocity, temperature and concentration fields have been examined with the help of graphs. The Skin friction, Nusselt number, and Sherwood number are also derived and discussed through tables.

Research Paper

Numerical Study of Magneto - Convective Tangent Hyperbolic Fluid In Over A Circular Cylinder with Suction/Blowing

Syed Fazuruddin* , S. Sreekanth**, G.S.S. Raju***
* Research Scholar, Department of Mathematics, SITAMS, Chittoor, Inda.
** Professor, Department of Mathematics, SITAMS, Chittoor, India.
*** Professor, Department of Mathematics, JNTUA College of Engineering, Pulivendula, India.
Fazuruddin, S., Sreekanth, S., and Raju, G.S. S. (2017). Numerical Study of Magneto - Convective Tangent Hyperbolic Fluid In Over A Circular Cylinder with Suction/Blowing. i-manager’s Journal on Mathematics, 6(3), 45-51. https://doi.org/10.26634/jmat.6.3.13653

Abstract

The aim of this paper is to study numerically, magneto-convective non-Newtonian Tangent Hyperbolic boundary layer flow over a circular cylinder. The non-dimensional governing nonlinear coupled partial differential equations are solved by using finite element method. The computational numerical quantities for different parameters which govern the momentum and thermal boundary layers are described quantitatively and epitomized vividly. The numerical results of the skin friction, Nusselt number within the flow regime are compared to validate with the previously reported results in some limiting cases of the present analysis, and are found to be in good agreement.