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i-manager's Journal on Mathematics (JMAT)

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Statistical Analysis on Job Satisfaction of Academic Staff at College of Natural Science in Jimma University, Ethiopia: A Cross-Sectional Study
Tolerance Based Rough Algebras Induced by Blocks
Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source
Transient Analysis of M/M/1 Fractional Queue
A Novel Multi-Viewpoints Based Cosine Similarity Visual Technique for an Effective Assessment of Clustering Tendency

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Volume 3 Issue 3 July - September 2014

Article

Fundamental Concepts of Queuing Theory and Their Applications

D. R. Robert Joan*

Assistant Professor, Department of M.Ed, M.E.T College of Education, Chenbagaramanputhoor, Tamilnadu, India.

Joan, D.R.R. (2014). Fundamental Concepts of Queuing Theory and Their Applications. i-manager’s Journal on Mathematics, 3(3), 1-6. https://doi.org/10.26634/jmat.3.3.3105

Abstract

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.

References

[1]. Alex, & Simmens, C. (2013). Queue Management Software. Retrieved from http://www.ctronix.com/Smartsoft.htm.

[2]. Anand, M. (2010). Queuing Theory - Operation Research. Retrieved from http://www.slideshare.net/musicoholic/ queuing-theory-5330717.

[3]. Balsamo, S., & Marin, A. (2007). Queuing Networks. School on Formal Methods, Retrieved from http://www.sti.uniurb.it/ events/sfm07pe/slides/Balsamo.pdf.

[4]. Bose, (2002). Queuing Network Classification & Basic Concepts. Retrieved from https://www.iitg.ernet.in/skbose/qbook/ Slide_Set_13.PDF.

[5]. Daniel, A. (1995). Introduction to Queuing Theory. Computer System Analysis, Retrieved from http://users.crhc.illinois. edu/nicol/ece541/slides/queuing.pdf.

[6]. Dowdy, L., Almeida, V., & Menasce, D. (2004). Performance by Design: Computer Capacity Planning By Example. 480.

[7]. Filipowicz, B., & Kwiecien, J. (2008). Queuing systems, networks models and applications. Bulletin of the polish academy of sciences, Vol.56(4), pp.379-390.

[8]. Jain, R. (2008). Queuing Network. Washington University in St. Louis, Retrieved from http://www.cse.wustl.edu/~jain/ cse567-08/ftp/k_32qn.pdf.

[9]. Kobayashi, H., & Konheim, A. (1977). Queuing Models for Computer Communications System Analysis. IEEE Transactions on communications, Vol.25(1) pp.2-28..

[10]. Singh, A. (2009). Queuing theory. Retrieved from http://www.slideshare.net/avtarsingh/queuing-theory-2129896.

[11]. SuleAlfa, A. (2010). Single Node Queuing Models. Queuing Theory for Telecommunications, Springer US, pp.105-169, ISBN: 978-1-4419-7313-9, doi: 10.1007/978-1-4419-7314-6_4.

[12]. Sundarapandian, V. (2009). Queuing Theory. Probability, Statistics and Queuing Theory, PHI Learning, ISBN 8120338448, Retrieved from http://en.wikipedia.org/wiki/Queuing_theory#cite_note-sun-1.

[13]. Sztrik, J. (2001). Finite-source queuing systems and their applications. Retrieved from http://irh.inf.unideb.hu/user/jsztrik/ research/fsqreview.pdf.

[14]. Sztrik, J. (2012). Basic Queuing Theory. University of Debrecen, Retrieved from http://irh.inf.unideb.hu/~jsztrik/education/ 16/SOR_Main_Angol.pdf.

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Research Paper

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

James Edward Osler II*

Associate Professor, Department of Curriculum and Instruction, North Carolina Central University.

Osler, J. E., II. (2014). Trichotomous Progression Analysis: An Advanced Comprehensive Statistical Post Hoc Measure of the Tri–Squared Test. i-manager’s Journal on Mathematics, 3(3), 7-20. https://doi.org/10.26634/jmat.3.3.3106

Abstract

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.

References

[1]. Apostol, T. M. (1967). Calculus, second edition, Volume one: One-variable calculus, with an introduction to linear algebra. Waltham, MA: Blaisdell.

[2]. Bernays, P. (1991). Axiomatic set theory. Dover Publications. Mineola: N.Y.

[3]. Kant, I. (2007). Critique of pure reason (based on Max Müller's translation). P. Classics a Division of Pearson PLC. New York, NY.

[4]. James Edward Osler (2012). Introducing: Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists Who are Administrators, Practitioners, Teachers, and Technologists. i-manager's Journal on Mathematics, Vol.1(3) Jul - Sep 2012 Print ISSN 2277-5129, E-ISSN 2277-5137, pp. 23-32.

[5]. James Edward Osler and Carl Waden(2012). Using Innovative Technical Solutions As An Intervention For At Risk Students: A Meta–Cognitive Statistical Analysis To Determine The Impact Of Ninth Grade Freshman Academies, Centers, And Center Models Upon Minority Student Retention And Achievement. i-manager's Journal on School Educational Technology, Vol.8(2), Sep-Nov 2012, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp. 11-23.

[6]. James Edward Osler (2013). The Psychometrics Of Educational Science: Designing Trichotomous Inventive Investigative Instruments For Qualitative And Quantitative Inquiry. i-manager's Journal on School Educational Technology, Vol.8(3), Dec- Feb 2013, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp. 15-22.

[7]. James Edward Osler (2013). The Psychological Efficacy Of Education As A Science Through Personal, Professional, And Contextual Inquiry Of The Affective Learning Domain. i-manager's Journal on Educational Psychology. Vol.6(4) Feb-Apr 2013 Print ISSN 0973-8827, E-ISSN 2230-7141, pp. 36-41.

[8]. James Edward Osler II (2013). Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining The Application Process of The Tri–Squared Test. i-manager's Journal on Mathematics, Vol.2(2) Apr - Jun 2013 Print ISSN 2277- 5129, E-ISSN 2277-5137, pp. 10-16. .

[9]. James Edward Osler (2013). Proximal Positive Parallel Notation: A Novel Method of Expressing Mathematical Complements, Collaborations, And Combinations. i-manager's Journal on Mathematics, Vol.2(4) Oct - Dec 2013 Print ISSN 2277-5129, E-ISSN 2277-5137, pp. 21-32.

[10]. Osler, J. E. (2014). Triostatistics: The application of innovative in–depth advanced post hoc statistical metrics for the assessment and analysis of statistically significant tri–squared test outcomes. Kentucky Journal of Excellence in College Teaching and Learning, Vol.12 (3), pp. 27–39.

[11]. Rust, J. & Golombok, S. (1989). Modern psychometrics: The science of psychological assessment(2nd ed.). Florence, KY, US: Taylor & Frances/Routledge.

[12]. Sensagent (2012, May): Trichotomy (mathematics). Retrieved, May 9, 2012: http://dictionary.sensagent.com/ trichotomy+(mathematics)/en-en/

[13]. Singh, S. (1997). Fermat's enigma: The epic quest to solve the world's greatest mathematical problem. A. Books a Division of Random House. New York, NY .

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Research Paper

MHD Free Convection Flow Through Porous Medium in a Vertical Channel

Hari Priya.G* , Bhuvana Vijaya.R, Siva Prasad.R*

* Research Scholar, Department of Mathematics, Research Scholar, JNTUA, Anantapuramu, Andhra Pradesh.

Department of Mathematics, JNTUA, Anantapuramu, Andhra Pradesh.

* Department of Mathematics, Sri Krishnadevaraya University, Anantapuramu, Andhra Pradesh.

Priya, G.H., Vijaya, R.B., and Prasad, R.S. (2014). Mhd Free Convection Flow Through Porous Medium in a Vertical Channel. i-manager’s Journal on Mathematics, 3(3), 21-33. https://doi.org/10.26634/jmat.3.3.3107

Abstract

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.

References

[1]. Al-Nimr, M.A., and M.A. Hader. (1999). “MHD free convection flow in open-ended vertical porous channel.” Chemical Engineering Science, Vol. 54, pp. 1883-1869.

[2]. Attia, H.A. (2005). “Convection in porous media.” Turkish Journal of Physics, Vol. 29, pp. 379–88.

[3]. Barletta, A. (1998). “Mixed convection in a vertical channel with viscous dissipation.” Int. J. Heat Mass Transfer, Vol. 41, pp.3501–3513.

[4]. Bejan, A. (1995). “Transport Phenomena in Porous Media Convective Heat Transfer.” 2nd ed., Wiley, New York.

[5]. Chamkha, A.J., and M.M.A. Quadri. (2001). “Analysis of hydro magnetic flows in porous media.” Numer. Heat Transfer, Part A 40, pp. 387–401.

[6]. El-Hakiem, M.A. (2000). “Unsteady MHD oscillatory flow on free convection and radiation through a porous medium.” J.Magn. Magn. Mater. Vol.220, pp. 271–276.

[7]. Ettefagh, J., Vafai, K., and Kim, S.J. (1991). “MHD free convection flow of non conducting fluids in open ended vertical porous channel.” J. Heat transfer, Vol.113, pp. 747-753.

[8]. Georgantopoulos, G. A., Koullias, J. (1981). “The effects of free convection and mass transfer in a conducting liquid”. Goudas, C. L., and Courogenis, C., Astrophys. Space Sci. Vol. 74, p.357.

[9]. Ghaly, A.Y. (2002). “The effect of radiation on heat and mass transfer over a stretching sheet in presence of a magnetic field.” Chaos Solitons Fract. Vol.13, pp. 1843– 1850.

[10]. Gounder Ganesan, P., and P. Hari Rani. (2000). “Unsteady free convection flow a vertical cylinder.” Int. J. Therm. Sci. Vol.39, pp. 265–272.

[11]. Guillaume Polidori., Catalin Popa., and Ton Hoang Mai. (2003). “Transient dynamic behaviour of a free convection boundary layer type flow.” Mechanics Research Communications Vol.30, pp. 615–621.

[12]. Harris, S.D., L. Elliot., D.B. Ingham., and I. Pop. (1998). Int. J. Heat Mass Tran. Vol. 41, pp. 357–72.

[13]. Ingham, D. B., and Pop, I. (2005). Transport Phenomena in Porous Media III. Elsevier, Oxford.

[14]. Kassem, M. (2006). “Unsteady free convection flow from a vertical moving plate.”J. Comput. Appl. Math, p.187.

[15]. Krishna, D.V.,Prasada Rao .D.R.V., and Ramachandra Murthy. A.S. (2002). “Hydro magnetic convection boundary layer heat transfer through a Darsian Porous medium in a rotating parallel plate channel.” Inzhenerno-Fizicheskii Zhurnal, Vol. 75(2), pp. 12-21.

[16]. Malashetty, M.S., and J.C. Umavathi. (2005). “Combined free and forced convective magneto hydro dynamic flow in a vertical channel.” International Journal of Non-Linear Mechanics, Vol. 40, pp. 91-101.

[17]. Nield, D. A., and Bejan, A. (1999). Convection in Porous Media, 2nd ed., Springer, New York.

[18]. Nield,D.A., and A. Bejan. (2006). Convection in Porous Media, third ed., Springer, New York.

[19]. Polidori, G., C. Popa., and T. Hoang-Mai. (2003). “Transient dynamic behaviour of a free convection boundary layer flow.” Mech. Res. Commun. Vol. 30, pp. 515–621.

[20]. Pop, I., and Ingham, D. B., (2001). “Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media”. Pergamon, Oxford.

[21]. Postelnicu, A., (2004). Int. J. Heat Mass Transfer, Vol. 47, pp.1467–1472.

[22]. Rastogi, S.K., and D. Poulikakos., (1995). “Free convection heat and mass transfer from a vertical surface in a porous region saturated with a non-Newtonianfluid.” Int. J. Heat & Mass Transfer, Vol. 38, pp. 935–946.

[23]. Soundalgekar, V. M., (1977). “The effect of natural convection current due to the cooling or heat of the plate,” J. Heat Transfer, Trans. ASME, Vol. 99, p. 499.

[24]. Soundalgekar, V. M., (1973). Free convection effects on the oscillatory flow past an infinite, vertical porous plate with constant suction I. Proc. 1%. Soc. (London) 888, p. 25.

[25]. Soundalgekar, V. M., (1973). Free convection effects on the oscillatory flow past an infinite, vertical porous plate with constant suction II. Proc. 1%. Soc. (London) 888, p. 37.

[26]. Soundalgekar, V.M., B.S. Jaiswal., A.G. Uplekar., and H.S. Takhar., (1999). “The effects of free and convection currents due to cooling or heating of the plate”. Appl. Mech. Eng., 4.

[27]. Sparrow, E. M., and Gregg, J .L., (1956). “Theoretical treatments of free convection along a vertical wall”. Trans ASME, Vol. 78, p.435.

[28]. Veera Krishna. M., S.V. Suneetha., and M. Vasudevudu. (2011). “Numerical Analysis on steady two dimensional Laminar MHD flow through a porous medium in the Entrance region between two parallel plates”. Journal of Computer and Mathematical Sciences, Vol. 2 (1), pp. 159-169.

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Research Paper

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

B.lavanya* , s mohammed ibrahim, Leela Ratnam.A*

* Assistant Professor, Department of Mathematics, Priyadarshini College of Engineering and Technology, Nellore, A.P, India.

Professor, Department of Mathematics, Priyadarshini College of Engineering and Technology, Nellore, A.P, India.

* Professor, Department of Mathematics, Sri Padmavathi Mahila Visva Vidyalayam, Tirupathi.

Lavanya, B., Ibrahim, R.S.M., and Ratnam, A.L. (2014). Radiation and Chemical Reaction Effects on Mhd Flow Over An Infinite Vertical Oscillating Porous Plate With Soret Effect. i-manager’s Journal on Mathematics, 3(3), 34-42. https://doi.org/10.26634/jmat.3.3.3108

Abstract

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.

References

[1]. Soundalgekar, V.M., Takhar , H.S. “MHD flow past a vertical oscilating plate”. Nucl. Eng. Des., Vol.64(1), pp.43-48.

[2]. Hossain., and Takhar H.S. “Radiation Effects on mixed convection along a vertical plte with uniform surface temrature”. Heat and mass Trans., Vol.31(40), pp.243-248.

[3]. Ali,M.M., Chen , T.S and Armaly, B.F. “Natural convection Radiation interaction in boundary layer flow over Horizontal surfaces”. AIAA journal., Vol.22(12), pp. 797-1803.

[4]. Alabraba, M.A., Bestman, A.R., and Ogulu, A. “laminar convection in Binary Mixer of Hydromagnetic flow with radiative heat transfer”. Astrophy.Space Sci., Vol.195, pp.431-445.

[5]. S. M. Alharbi., M. A. A. Bazid., and M. S. El-Gendy. (2010). “Heat and mass transfer in MHD visco-elastic fluid flow through a porous medium over a stretching sheet with chemical reaction”. Applied Mathematics, Vol.1, pp. 446-455.

[6]. K. Gangadhar., N. Bhaskar Reddy., and P. K Kameswaran. (2012). “Similarity solution of hydromagnetic heat and mass transfer over a vertical plate with a convective surface boundary condition and chemical reaction”. Int. J. Nonlinear Science. Vol. 13, No. 3, pp. 298-307.

[7]. S. Y. Ibrahim., and O. D. Makinde. (2010). “Chemically reacting MHD boundary layer flow of heat and mass transfer over a moving vertical plate with suction”. Scientific Research and Essays, Vol. 5, No. 19, pp. 2875-2882.

[8]. N. T. M Eldabe., A. G Elsaka., A. E Radwan., and A M Eltaweel. (2010). “Effects of chemical reaction and heat radiation on the MHD flow of viscoelastic fluid through a porous medium over a horizontal stretching flat plate”. Journal of American Science, Vol. 6, No. 9, pp.126-136.

[9]. M. A Seddeek., and A. A Almushigeh. (2010). “Effects of radiation and variable viscosity on MHD free convective flow and mass transfer over a stretching sheet with chemical reaction”. Applications and Applied Mathematics, Vol. 5, No.1, pp. 181-197.

[10]. P.S Lykoudis. (1962). “Natural convection of an electrically conducting fluid in the presence of a magnetic field”. Int. J. Heat Mass Transfer, Vol. 5, pp. 23-34.

[11]. R.S Nanda., andH.K Mohanty. (1970). “Hydromagnetic free convection for high and low prandtl numbers”. J. Phys.Soc. Japan, Vol. 29, pp. 1608-1618.

[12]. R.C Chaudhary., and B.K Sharma. (2006). “Combined heat and mass transfer by laminar mixed convection flow from a vertical surface with induced magnetic field”, Journal of Applied Physics, Vol. 99, No. 3, pp. 34901-34100.

[13]. M.F El-Amin. (2001). “Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction”. Journal of Magnetism and Magnetic Materials, Vol. 234, No. 3, pp. 567-574.

[14]. A. Raptis., N. G. Kafoussias. (1982). “Magnetohydrodynamic free convection flow and mass transfer through porous medium bounded by an infinite vertical porous plate with constant heat flux”. Can. J. Phys., Vol.60(12), pp. 1725–1729.

[15]. Y. J. Kim. (2004). “Heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium”. Transport in Porous Media, Vol. 56, No.1, pp. 17–37.

[16]. M. Bavana., D. Chenna Kesavaiah., and A. Sudhakaraiah. (2013). “The Soret effect on free convective unsteady MHD flow over a vertical plate with heat source”. Int J Res Sci Engg Tech., Vol. 2, No. (5), pp. 1617 – 1628.

[17]. Anand Rao., S. Shivaiah, and S.K Nuslin. ( 2012). “Radiation effect on an unsteady MHD free convective flow past a vertical porous plate in presence of soret”. Advances in Applied Science Research, Vol. 3, No. 3, pp. 1663 – 1671.

[18]. Mohammad Ali., and Mohammad Shah Alam. (2014). “Soret and Hall effect on MHD flow heat and mass transfer over a vertical stretching plate in a porous medium due to heat generation”. Journal of Agricultural & Biological Science, Vol. 9, No. 3, pp. 361 – 372.

[19]. M.S Alam., M.M Rahman., and M.A Samad. (2006). “Dufour and Soret effects on unsteady MHD free convection and mass transfer flow past a vertical porous plate in a porous medium”. Nonlinear Analysis: Modelling and Control, Vol. 11, No. 3, pp. 217 – 226.

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Research Paper

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

M.Rajaiah* , A. Sudhakaraiah, M. Sivaiah*, P. Venkatalakshmi****

* Professor, (Mathematics) and Head, Department of Humanities and Sciences, ASCET, Gudur, Nellore (Dt).

Senior Assistant Professor, Department of Future Studies, S.V. University, Tirupati, A.P, India.

* Senior Lecturer and Head, Department of Mathematics, NBKR Arts & Science Degree College, Vidyanagar, Nellore (Dt), A.P, India.

**** Professor(Mathematics), Department of Humanities and Sciences, ASCET, Gudur, Nellore (Dt).

Rajaiah, M., Sudhakaraiah, A., Sivaiah, M., and Venkatalakshmi, P. (2014). Dufour Effect on a Viscous Mhd Flow Past An Oscillating Infinite Vertical Plate With Variable Temperature and Variable Mass through Porous Media. i-manager’s Journal on Mathematics, 3(3), 43-56. https://doi.org/10.26634/jmat.3.3.3109

Abstract

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.

References

[1]. Soundalgekar V. M. (1999). “Free convection effects on the Stoke's problem for an infinite vertical plate”. ASME Journal of Heat Transfer, pp.499-501.

[2]. Soundalgekar V. M. & Patil M.R. (1980a). “On flow past a vertical oscillating plate with variable temperature”. Latin American Journal of Heat and Mass Transfer, Vol.(4), pp.143–148.

[3]. Soundalgekar V. M. & Patil M. R. (1980b). “Stokes problem for a vertical plate with constant heat flux”. Astrophysics Space Science, Vol.70, pp.179–182.

[4]. Jha B.K. (1991). “MHD free-convection and mass transform flow through a porous medium”. Astrophysics and Space science, Vol.175, pp.283-289.

[5]. Muthucumaraswamy, R., and Vijayalakshmi (2008). “A Effect of heat and mass transfer on flow past an oscillating vertical plate with variable temperature”. Int. J. of Appl. Math. and Mech, Vol.4(1), pp.59-65.

[6]. Muthucumaraswamy, R., & Sathappan K.E et al., (2008). “Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature”. Theoretical Applied Mechanics, Vol.35(4), pp.323-333.

[7]. Muthucumaraswamy, R., & Valliamal, V. (2009). “First order chemical reaction on exponentially accelerated isothermal vertical plate with mass diffusion”. International Journal of Engineering, TUME VII, fascicule (ISSN 1584-2665).

[8]. Muthucumaraswamy, R., Sundar Raj, M., & Subramanian, V. S. A. (2009). “Unsteady flow past an accelerated infinite vertical plate with variable temperature and mass diffusion”. International Journal of Applied Mathematics and Mechanics, Vol.5(6), pp.51-56 .

[9]. Makinde, O. D. (2009). “On MHD boundary-layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux”. Int. J. of Num. Methods for Heat & Fluid Flow, Vol.19, Nos. 3/4, pp.546-554.

[10]. V. Rajesh, (2010). “MHD effect of free convection and mass transform flow through a porous medium with variable temperature”, Int. J. of Appl. Math and Mech. Vol.6 (14), pp.1-16.

[11]. B. K. Sharma, et al. (2011). “Hydromagnetic Unsteady Mixed Convection Flow Past an Infinite Vertical Porous Plate”. Applied Mathematics, Vol.1(1), pp.39-45.

[12]. Salema, A. M., & Rania Fathy, (2012). “Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation”. Chin. Phys. B, Vol.21(5), 054701, pp.1-11.

[13]. Sahin Ahmed, et al. (2012). “Mathematical Modeling of MHD Transient Free and Forced Convective Flow with Induced Magnetic Field Effects”. Int. J. Pure Appl. Sci. Technol., Vol.11(1), pp.109-125.

[14]. Idowu, A. S.et al. (2013). “Heat and Mass Transfer Of MHD and Dissipative Fluid Flow Past A Moving Vertical Porous Plate with Variable Suction”. Mathematical Theory and Modeling (Online), Vol.3(3).

[15]. Jha, B.K., & Jibril, H.M. (2013). “Unsteady hydromagnetic Couette flow due to ramped motion of one of the porous plates”, Int. J. of Applied Mech. and Engineering, Vol.18(4), pp.1039-1056.

[16]. Amit Saraswat., & Srivatsava, R. K. (2013). “MHD Flow Past An Oscillating Infinite Vertical Plate With Variable Temperature Through Porous Media”, IJETCAS, 6(5), September-November, pp.370-374.

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Volume 3 Issue 3 July - September 2014

Fundamental Concepts of Queuing Theory and Their Applications

D. R. Robert Joan*

Assistant Professor, Department of M.Ed, M.E.T College of Education, Chenbagaramanputhoor, Tamilnadu, India.

Joan, D.R.R. (2014). Fundamental Concepts of Queuing Theory and Their Applications. i-manager’s Journal on Mathematics, 3(3), 1-6. https://doi.org/10.26634/jmat.3.3.3105

Abstract

References

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

James Edward Osler II*

Associate Professor, Department of Curriculum and Instruction, North Carolina Central University.

Osler, J. E., II. (2014). Trichotomous Progression Analysis: An Advanced Comprehensive Statistical Post Hoc Measure of the Tri–Squared Test. i-manager’s Journal on Mathematics, 3(3), 7-20. https://doi.org/10.26634/jmat.3.3.3106

Abstract

References

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MHD Free Convection Flow Through Porous Medium in a Vertical Channel

Hari Priya.G* , Bhuvana Vijaya.R**, Siva Prasad.R***

* Research Scholar, Department of Mathematics, Research Scholar, JNTUA, Anantapuramu, Andhra Pradesh. ** Department of Mathematics, JNTUA, Anantapuramu, Andhra Pradesh. *** Department of Mathematics, Sri Krishnadevaraya University, Anantapuramu, Andhra Pradesh.

Priya, G.H., Vijaya, R.B., and Prasad, R.S. (2014). Mhd Free Convection Flow Through Porous Medium in a Vertical Channel. i-manager’s Journal on Mathematics, 3(3), 21-33. https://doi.org/10.26634/jmat.3.3.3107

Abstract

References

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

B.lavanya* , s mohammed ibrahim**, Leela Ratnam.A***

Lavanya, B., Ibrahim, R.S.M., and Ratnam, A.L. (2014). Radiation and Chemical Reaction Effects on Mhd Flow Over An Infinite Vertical Oscillating Porous Plate With Soret Effect. i-manager’s Journal on Mathematics, 3(3), 34-42. https://doi.org/10.26634/jmat.3.3.3108

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

M.Rajaiah* , A. Sudhakaraiah**, M. Sivaiah***, P. Venkatalakshmi****

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Hari Priya.G* , Bhuvana Vijaya.R, Siva Prasad.R*

* Research Scholar, Department of Mathematics, Research Scholar, JNTUA, Anantapuramu, Andhra Pradesh.

Department of Mathematics, JNTUA, Anantapuramu, Andhra Pradesh.

* Department of Mathematics, Sri Krishnadevaraya University, Anantapuramu, Andhra Pradesh.

B.lavanya* , s mohammed ibrahim, Leela Ratnam.A*

M.Rajaiah* , A. Sudhakaraiah, M. Sivaiah*, P. Venkatalakshmi****