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i-manager's Journal on Mathematics (JMAT)

Current Issue Vol. 13 Issue 2

Mathematical Modeling of Higher Overtone Vibrational Frequencies in Dichlorine Monoxide
Some Types of Generalized Closed and Generalized Star Closed Sets in Topological Ordered Spaces
Optimizing Capsule Endoscopy Detection: A Deep Learning Approach with L-Softmax and Laplacian-SGD
Kernel Ideals in Semigroups
Modeling the Dynamics of Covid-19 with the Inclusion of Treatment, Vaccination and Natural Cure
Calculation of Combined Vibrational Frequencies in Cl₂O using Lie Algebraic Method

Most Cited

Volume 6 Issue 2 April - June 2017

Research Paper

A Base Index of Iterative and Recursive Trichotomous Relations for the Repeated Measurement of the Digital Application, Construction, and Dissemination of the Tri–Squared Test

James Edward Osler II*

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

Osler, J. E., II. (2017). A Base Index of Iterative and Recursive Trichotomous Relations for the Repeated Measurement of the Digital Application, Construction, and Dissemination of the Tri–Squared Test. i-manager’s Journal on Mathematics, 6(2), 1-16. https://doi.org/10.26634/jmat.6.2.13513

Abstract

This monograph provides a Trichotomous Base Index for the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in the Journal on Mathematics, and further detailed in the Journal of Educational Technology, Journal on School Educational Technology, and in Journal on Educational Psychology articles. Advanced statistical measures of internal research instrument Trichotomous Repeated Measures and Trichotomous Variation of significant Transformative Trichotomy–Squared [Tri–Squared] research variables are analyzed. This narrative follows the article published in the October-December paper published in the Journal on Mathematics entitled, “Advanced Tri–Analytic Trichotomous Post Hoc Repeated Measures for Tri–Squared Test Inventive Investigative Instrument Items using Trichotomous Variation Analysis [Trivariant Analysis]”. As an additional in-depth and novel approach to advanced Tri–Squared data analysis, “The Base Index of Recursive Trichotomous Relations”adds additional value to the mixed methods approach of research design that involves the holistic combination and comparison of qualitative and quantitative data outcomes. In this paper, multiple sequential mathematical models are provided that illustrate the entire process of advanced Tri-Analytic 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]. Kant, I. (2007). Critique of Pure Reason (based on Max Müller's translation). P. Classics a Division of Pearson PLC, New York, NY.

[3]. Osler, J. E., & Waden, C. (2012b). 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, 7(3), 11-23.

[4]. Osler, J. E. (2012a). 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,1(3), 23-31.

[5]. Osler, J. E. (2013a). The Psychometrics of Educational Science: Designing Trichotomous Inventive Investigative Instruments for Qualitative and Quantitative for Inquiry. i-manager's Journal on Educational Psychology, 8(3), 15-22.

[6]. Osler, J. E. (2013b). 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, 6(4), 36-41.

[7]. Osler, J. E. (2013c). Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test. i-manager's Journal on Mathematics, 2(2), 10-16.

[8]. Rust, J., & Golombok, S. (1989). Modern Psychometrics: The Science of Psychological Assessment (2 ed.). Florence, KY, US: Taylor & Frances/Routledge.

[9]. Sensagent, (2012). Retrieved on May 9, 2012 from http://dictionary.sensagent.com/trichotomy+(mathematics)/en–en/

[10]. 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

Thermal Radiation and Chemical Reaction Effects on Unsteady MHD Free Convection Flow of a Viscous Dissipative Casson Fluid Past an Exponentially Infinite Vertical Plate Through Porous Medium with TGHS

S. Rama Mohan* , G.Viswanatha Reddy, S. Vijaya Kumar Varma*, Bala Krishna Sapparam****

*-**** Department of Mathematics, S.V. University, Tirupathi, A.P, India.

Mohan, S.R., Reddy, G.V., Varma, S.V.K., and Krishna, S.B. (2017). Thermal Radiation and Chemical Reaction Effects on Unsteady MHD Free Convection Flow of a Viscous Dissipative Casson Fluid Past an Exponentially Infinite Vertical Plate Through Porous Medium with TGHS. i-manager’s Journal on Mathematics, 6(2), 17-26. https://doi.org/10.26634/jmat.6.2.13514

Abstract

This paper is to study an unsteady MHD free convection flow of a viscous dissipative Casson fluid past an exponentially infinite vertical plate through porous medium in the presence of thermal radiation and temperature gradient heat source. Also the first order chemical reactions are taking into an account. At the same time, the plate temperature and concentration of the plate are raised to T * and C *. The set of partial differential equations is transformed into ordinary w w differential equations by using suitable similarity transformations and then solved analytically by using regular perturbation technique procedure. The results for various non-dimensional physical parameters on the velocity, the temperature, and the concentration fields are displayed and discussed. The numerical values of the Skin friction coefficient, the Nusselt number, and the Sherwood number of different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.

References

[1]. Animasaun, I.L. (2015). Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat th and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and n order of chemical reaction. Journal of the Nigerian Mathematical Society, 34(1), 11-31.

[2]. Das, S. S., Satapathy, A., Das, J. K., & Panda, J. P. (2009). Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through porous medium under oscillatory suction and heat source. International Journal of Heat and Mass Transfer, 52(25-26), 5962-5969.

[3]. Das, M., Mahato, R., & Nandkeoyar, R. (2015). Newtonian heating effect on steady hydro magnetic Casson fluid flow a plate with heat and mass transfer. Alexandria Engineering Journal, 54(4), 871-879.

[4]. Dash, R. K., Mehta K.N., & Jayaraman G. (1996). Casson fluid flow in a pipe filled with a homogeneous porous medium. Int. J. Eng. Sci., 34(10), 1145-56.

[5]. Gnaneswara Reddy, M. (2015). Unsteady radiative-convective boundary layer flow of a Casson fluid with variable thermal conductivity. J. Eng. Phys. Thermo Phys., 88(1), 240-251.

[6]. Hayat, T., Shehzad, S. A., & Alsaedi, A. (2012). Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid. Appl. Math. Mech., 33(10), 1301-1312.

[7]. Hussanan, A., Zuki Salleh, M., Tahar, R. M., & Khan, I. (2014). Unsteady boundary layer flowand heat transfer of a Casson fluid past an oscillating vertical plate with Newtonian heating. PLoS ONE, 9(10), e108763.

[8]. Khalid, A., Khan, I., Khan, A., & Shafie, S. (2015). Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium. Eng. Sci. Technol. Int. J., 18(3), 309-317.

[9]. Makinde, O. D. (2010). Similarity solution of hydromagnetic heat and mass transfer over a vertical plate with a convective surface boundary condition. Int. J. Physical Sci., 5(6), 700-710.

[10]. Makinde, O. D. (2011). MHD mixed-convection interaction with thermal radiation and nth order chemical reaction past a vertical porous plate embedded in a porous medium. Chem. Eng. Commun., 198(4), 590.

[11]. Masthanrao, S., Balamurugan, K. S., Varma, S. V. K., & Raju, V. C. C. (2013). Chemical reaction and Hall effects on MHD convective flow along an infinite vertical porous plate with variable suction and heat absorption. Applications & Applied Mathematics, 8(1), 268.

[12]. Pramanik, S. (2014). Casson fluid flow and heat transfer past an exponentially porous stretching sheet in presence of thermal radiation. Ain Shams Eng. J., 5(1), 205-212.

[13]. Pushpalatha, K., Sugunamma, V., Reddy, J. R., & Sandeep, N. (2016). Heat and mass transfer in unsteady mhd casson fluid flow with convective boundary conditions. International Journal of Advanced Science and Technology, 91, 19-38.

[14]. Raju, M. C., Varma, S. V. K., & Reddy, N. A. (2011). MHD Thermal diffusion Natural convection flow between heated inclined plates in porous medium. i-manager’s Journal on Future Engineering and Technology, 6(2), 45-49.

[15]. Raju, M. C., & Varma, S. V. K. (2011). Unsteady MHD free convection oscillatory Couette flow through a porous medium with periodic wall temperature. i-manager’s Journal on Future Engineering and Technology, 6(4), 7-12.

[16]. Raju, M. C., Varma, S. V. K., & Anandareddy, N. (2012). Radiation and mass transfer effects on a free convection flow through a porous medium bounded by a vertical surface. i-manager’s Journal of Future Engineering and Technology, 7(2), 7-12.

[17]. Raju, M. C., Varma, S. V. K., & Rao, R. R. K. (2013). Unsteady MHD free convection and chemically reactive flow past an infinite vertical porous plate. i-manager’s Journal of Future Engineering and Technology, 8(3), 35-40.

[18]. Raju, C. S. K., Sandeep, N., Sugunamma, V., Babu, M. J., & Reddy, J. R. (2016). Heat and mass transfer in magneto hydrodynamic Casson fluid over an exponentially permeable stretching surface. Engineering Science and Technology, an International Journal, 19(1), 45-52.

[19]. Raptis, A., Zivnidis, G. T., & Kafousis, N. (1981). Free convection and mass transfer flow through porous medium bounded by an infinite vertical limiting surface with constant suction. Letters in Heat and Mass Transfer, 8(5), 417-424.

[20]. Reddy, T. S., Raju, M. C., & Varma, S. V. K. (2012). The effect of slip condition, Radiation and chemical reaction on unsteady MHD periodic flow of a viscous fluid through saturated porous medium in a planar channel. i-manager’s Journal on Mathematics, 1(1), 18-28.

[21]. Reddy, T. S., Varma, S. V. K., & Raju, M. C. (2012). Chemical reaction and radiation effects on unsteady MHD free convection flow near a moving vertical plate. i-manager’s Journal on Future Engineering & Technology, 7(4), 11-20.

[22]. Saha, S., Saha, G., Islam, M. Q., & Raju, M. C. (2010). Mixed convection inside a lid-driven parallelogram cavity with isoflux heating. imanager’s Journal on Future Engineering and Technology, 6(1), 14-22.

[23]. Sakiadis, B. C. (1961). Boundary Layer Behavior on Continuous Solid Surfaces: II. Boundary Layer on a Continuous Solid Flat Surfaces. AIChE Journal, 7(2), 221-225.

[24]. Shanker, B., Prabhakar R., & Ananda, R. J. (2010). Radiation and mass transfer effects on unsteady MHD free convective fluid flow embedded in porous medium with heat generation/absorption. Indian Journal of Pure Applied Physics, 48(3), 157-167.

[25]. Singh, A. K. (1983). Finite Difference Analysis of MHD free convective flow past an accelerated vertical porous plate by finite difference method. Astrophys. Space Sci., 94(2), 395-400.

[26]. Soundalgekar, V. M. (1976). Effects of mass transfer on free convective flow of a dissipative, incompressible fluid past an infinite vertical porous plate with suction. Proc. Indian Acad. Sci., 84(5), 194-203.

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Research Paper

Fuzzy Connectedness in Fuzzy Biclosure Space

U.D. Tapi* , Bhagyashri. A. Deole**

*-** Department of Applied Mathematics and Computational Science, Shri G.S. Institute of Technology and Science, Indore M.P., India.

Tapi, U.D., and Deole, B.A. (2017). Fuzzy Connectedness in Fuzzy Biclosure Space. i-manager’s Journal on Mathematics, 6(2), 28-33. https://doi.org/10.26634/jmat.6.2.13515

Abstract

In the present paper, the authors have aimed to introduce fuzzy connectedness in fuzzy biclosure space. Here they generalize the concept of fuzzy connectedness in fuzzy closure space to fuzzy biclosure space. They also investigate the fundamental properties of fuzzy connectedness in fuzzy biclosure space.

References

[1]. Boonpok, C., (2010). Bicontinuous Maps in Biclosure Spaces. Int. J. Contemp. Math. Sciences, 5(2), 51-59.

[2]. Boonpok, C. (2009). C0-biCech spaces and C1-biCech spaces. Acta Math. Acad. Paedagog. Nyhazi.(N. Si), 25(2), 277-281.

[3]. Cech, E. (1966). Topological Spaces, Inter science Publisher, John Wiley & Sons,New York.

[4]. Gowri, R., & Jegadeesan, G. (2013). Connectedness in fuzzy Cech closure spaces. Asian Journal of Current Engineering and Maths, 2(5), 326-328.

[5]. Jeeranunt, K. (2009). Semi-open sets in closure spaces. (Ph.D. Thesis, BRNO University of technology, Faculty of Mechanical Engineering, Department of Mathematics).

[6]. Mashhour, A. S., & Ghanim, M. H. (1985). Fuzzy closure space. J. Math. Anal. Appl., 106(1),154-170.

[7]. Palaniappan, N. (2005). Fuzzy Topology. Narosa Publishing House, Second edition, New Delhi.

[8]. Rao, C.K., Gowri R., & Swaminathan V. (2008). gs closed sets in biCech closure spaces. Int. J. Contemp. Math. Sci., 3(25-28), 1165-1172.

[9]. Tapi, U. D., & Deole, B. A. (2013). Connectedness in closure space. International Journal of Math. Sci. & Eng. Appls. (IJMSEA), 7(4), 147-150.

[10]. Tapi, U. D., & Deole, B. A. (2014). Connectedness in fuzzy closure space. International Journal of Applied Mathematical Research, 3(4), 441-445.

[11]. Tapi, U. D., & Navalakhe, R. (2011). On fuzzy closure spaces. International Journal of Mathematical Analysis, 5(16), 789-795.

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Research Paper

Radiation Effect on Boundary Layer Flow of a Non Newtonian Jeffrey Fluid Past an Inclined Vertical Plate

V. Ramachandra Reddy* , M. Suryanarayana Reddy, N. Nagendra, A. Subba Rao, M. Sudhakar Reddy

* Assistant Professor, Department of Mathematics, KSRM College of Engineering, Andhra Pradesh, India.

Assistant Professor & Head, Department of Mathematics, JNTU College of Engineering, Andhra Pradesh, India.

*-***** Assistant Professor, Department of Mathematics, Madanapalle Institute of Technology and Science, Andhra Pradesh, India.

Reddy, V.R., Reddy, M.S.N., Nagendra, N., Rao, A.S., and Reddy, M.S. (2017). Radiation Effect on Boundary Layer Flow of a Non Newtonian Jeffrey Fluid Past an Inclined Vertical Plate. i-manager’s Journal on Mathematics, 6(2), 34-41. https://doi.org/10.26634/jmat.6.2.13516

Abstract

The present paper investigates the radiation effect on the boundary layer flow of an incompressible non Newtonian Jeffrey fluid from an inclined vertical plate. Mathematical Formulation of the problem is achieved by appropriate nonsimilarity transformations. The transformed non-dimensional, coupled, and highly non-linear system of equations is solved numerically using the efficient Keller-box implicit finite difference method. Physical features of the involved parameters are presented and discussed through the graphs. The influence of many multi-physical parameters of these variables are illustrated graphically. The results found that, increasing the radiation parameter (R) on velocity and temperature profiles, increases the skin friction coefficient, but heat transfer coefficient decelerates.

References

[1]. Amanulla, C. H., Nagendra, N., & Reddy, M. S., (2017). Multiple Slip effects on MHD and Heat Transfer in a Jeffery Fluid over an Inclined Vertical Plate. International Journal of Pure and Applied Mathematics, 113(7), 137-145.

[2]. Armaly, B. F., Chen, T. S., & Ramachandran, N. (1987). Correlations for laminar mixed convection on vertical, inclined and horizontal flat plates with uniform surface heat flux. International Journal of Heat and Mass Transfer, 30(2), 405-408.

[3]. Cebeci, T., & Bradshaw, P. (2012). Physical and Computational Aspects of Convective Heat Transfer. Springer Science & Business Media.

[4]. Das, K., Acharya, N., & Kundu, P. K. (2015). Radiative flow of MHD Jeffrey fluid past a stretching sheet with surface slip and melting heat transfer. Alexandria Engineering Journal, 54(4), 815-821.

[5]. Fujii, T., & Imura, H. (1972). Natural-convection heat transfer from a plate with arbitrary inclination. International Journal of Heat and Mass Transfer, 15(4), 755IN5765-764IN6767.

[6]. Hayat, T., Hussain, T., Shehzad, S. A., & Alsaedi, A. (2014). Thermal and concentration stratifications effects in radiative flow of Jeffrey fluid over a stretching sheet. Plos One, 9(10), e107858.

[7]. Hayat, T., Qayyum, S., Imtiaz, M., & Alsaedi, A. (2016). Impact of Cattaneo-Christov heat flux in Jeffrey fluid flow with homogeneous-heterogeneous reactions. PloS One, 11(2), e0148662.

[8]. Hayat, T., Rafiq, M., & Ahmad, B. (2016). Soret and Dufour effects on MHD peristaltic flow of Jeffrey fluid in a rotating system with porous medium. PloS one, 11(1), e0145525.

[9]. Keller, H. B. (1970). A new difference method for parabolic problems, J. Bramble. Numerical Methods for Partial Differential Equations. New York, USA: Academic Press.

[10]. Kierkus, W. T. (1968). An analysis of laminar free convection flow and heat transfer about an inclined isothermal plate. International Journal of Heat and Mass Transfer, 11(2), 241IN9253-252.

[11]. Nagendra, N., Amanulla, C. H., Narayana Reddy, M., Rao, A., & Bég, O. (2017). Mathematical Study of Non- Newtonian Nanofluid Transport Phenomena from an Isothermal Sphere. Frontiers in Heat and Mass Transfer (FHMT), 8.

[12]. Nagendra, N., Madhava Reddy, C., Subba Reddy, M. V., & Jayaraj, B. (2008). Peristaltic flow of a Jeffrey fluid in a tube. Journal of Pure and Applied Physics, 20, 189-201.

[13]. Narayana, P. S., & Babu, D. H. (2016). Numerical study of MHD heat and mass transfer of a Jeffrey fluid over a stretching sheet with chemical reaction and thermal radiation. Journal of the Taiwan Institute of Chemical Engineers, 59, 18-25.

[14]. Raju, M. C., Varma, S. V. K., & Anandareddy, N. (2010). MHD Thermal diffusion Natural convection flow between heated inclined plates in porous medium. i-manager's Journal on Future Engineering and Technology, 6(2), 45.

[15]. Raju, M. C., Varma, S. V. K., & Anandareddy, N. (2011). Radiation and mass transfer effects on a free convection flow through a porous medium bounded by a vertical surface. i-manager's Journal on Future Engineering and Technology, 7(2), 7.

[16]. Raju, M. C., Varma, S. V. K., & Rao, R. R. (2013). Unsteady MHD free convection and chemically reactive flow past an infinite vertical porous plate. i-manager's Journal on Future Engineering and Technology, 8(3), 35.

[17]. Rao, A. S., Amanulla, C. H., Nagendra, N., Bég, O. A., & Kadir, A. (2017). Hydromagnetic Flow and Heat Transfer in a Williamson Non-Newtonian Fluid from a Horizontal Circular Cylinder with Newtonian Heating. International Journal of Applied and Computational Mathematics, 1-21.

[18]. Rao, A. S., Nagendra, N., & Prasad, V. R. (2015). Heat Transfer in a Non-Newtonian Jeffrey's Fluid over a Non-Isothermal Wedge. Procedia Engineering, 127, 775-782.

[19]. Rao, A. S., Prasad, V. R., Nagendra, N., Reddy, N. B., & Beg, O. A. (2016). Non-Similar Computational Solution for Boundary Layer Flows of Non-Newtonian Fluid from an Inclined Plate with Thermal Slip. Journal of Applied Fluid Mechanics, 9(2).

[20]. Reddy, M. S., Reddy, B. J., Nagendra, N., & Swaroopa, B. (2012). Slip effects on the peristaltic motion of a Jeffrey fluid through a porous medium in an asymmetric channel under the effect magnetic field. Journal of Applied Mathematics and Fluid Mechanics, 4, 59-72.

[21]. Reddy, T. S., Raju, M. C., & Varma, S. V. K. (2012). The Effect of Slip Condition, Radiation and Chemical Reaction on Unsteady Mhd Periodic Flow of a Viscous Fluid through Saturated Porous Medium in a Planer Channel. i-manager's Journal on Mathematics, 1(1), 18.

[22]. Reddy, T. S., Varma, S. V. K., & Raju, M. C. (2012). Chemical reaction and radiation effects on unsteady MHD free convection flow near a moving vertical plate. i-manager's Journal on Future Engineering and Technology, 7(4), 11.

[23]. Srinivas, A. N. S., Sreenadh, S., Govindarajulu, B., & Reddy, R. H. (2015). Free Flow of a Jeffrey's Fluid between Two Long Vertical Thin Plates. International Journal of Pure and Applied Mathematics, 4, 635-652.

[24]. Wickern, G. (1991). Mixed convection from an arbitrarily inclined semi-infinite flat plate-I. The influence of the inclination angle. International Journal of Heat and Mass Transfer, 34(8), 1935-1945.

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Research Paper

Steady MHD Heat and Mass Transfer Flow Over a Permeable Stretching Surface with Velocity, Thermal, and Mass Slip Conditions

Kuppala R. Sekhar* , G.Viswanatha Reddy**

* Research Scholar, Department of Mathematics, Sri Venkateswara University, Tirupati, India.

** Senior Professor, Department of Mathematics, Sri Venkateswara University, Tirupati, India.

Sekhar, K.R., and Reddy, G.V. (2017). Steady MHD Heat and Mass Transfer Flow Over a Permeable Stretching Surface with Velocity, Thermal, and Mass Slip Conditions. i-manager’s Journal on Mathematics, 6(2), 42-50. https://doi.org/10.26634/jmat.6.2.13517

Abstract

An analysis is made to study the velocity, thermal and mass slips on steady MHD boundary layer heat and mass transfer flow over a stretching surface in the presence of suction. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations. Then the obtained self-similar equations are solved by Runge-Kutta fourth order method using shooting technique. The numerical solutions for pertinent parameters on the dimensionless velocity, temperature, concentration, skin friction coefficient, the heat transfer coefficient, and the Sherwood number are illustrated in tabular form and are discussed graphically.

References

[1]. Abel, M. S., Mahesha, N., Sharanagouda, A., & Malipatil, B. (2011). Heat transfer due to MHD slip flow of a secondgrade liquid over a stretching sheet through a porous medium with non-uniform heat source/sink. Chem Eng Commun., 198(2), 191-213.

[2]. Asghar, S., Mohyuddin, M.R., & Hayat, T. (2003). Unsteady flow of third-grade fluid in the case of suction. Mathematical & Computer Modeling, 38(1-2), 201-208.

[3]. Asghar, S., Mohyuddin, M. R., & Hayat, T. (2005). Effects of Hall current and heat transfer on flow due to a pull of eccentric rotating disks. International Journal of Heat and Mass Transfer, 48(3-4), 599-607.

[4]. Babu, P. R., Rao, J. A., & Sheri, S. (2014). Radiation effect on MHD heat and mass transfer flow over a shrinking sheet with mass suction. J. Appl. Fluid Mech., 7(4), 641-650.

[5]. Bhargava, R., & Goyal, M. (2014). MHD non-Newtonian nanofluid flow over a permeable stretching sheet with heat generation and velocity slip. Int. J. Math. Comput. Phys., Electr. Comput. Eng., 8(6), 912-918.

[6]. Bhattacharyya, K. (2011). Effects of heat source/sink on MHD flow and heat transfer over a shrinking sheet with mass suction. Chem. Eng. Res. Bull., 15(1), 12-17.

[7]. Brewster, M. Q. (1992). Thermal Radiative Transfer and Properties. John Wiley & Sons. New York.

[8]. Chauhan, D. S., & Agarwal, R. (2011). MHD flow through a porous medium adjacent to a stretching sheet: Numerical and an approximate solution. Eur. Phys. J. Plus., 126(47), 11047-53.

[9]. Cortell, R. (2005). Flow and Heat transfer of fluid through a pours medium over a stretching sheet with internal heat generation/absorption suction blowing. Fluid Dyn. Res., 37(4), 231-245.

[10]. Crane, L. (1970). Flow past a stretching plate. Z. Angew. Math. Phy., 21(4), 645-647.

[11]. Gaffar, S. A., Prasad, V. R., & Reddy, E. K. (2015). Computational study of non-Newtonian Eyring-powell fluid from a horizontal circular cylinder with Biot number effects. Int. J. Math. Archv., 6(9), 114-132.

[12]. Hayat, T., Qasim, M., & Mesloub, S. (2002). MHD flow and heat transfer over permeable stretching sheet with slip conditions. Int. J. Num. Meth. Fluids., 66(8), 963-975.

[13]. Ishak, A. (2010). Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect. Meccanica., 45(3), 367-373.

[14]. Kemparaju, M. C., Abel, M. S., & Mahantesh, M. (2015). Heat transfer in MHD flow over a stretching sheet with velocity and thermal slip condition. Adv. Phys. Theo. and Appl., 49, 25-33.

[15]. Mohyuddin, M. R., & Gotz, T. (2005). Resonance behaviour of viscoelastic fluid in Poiseuille flow in the presence of a transversal magnetic field. International Journal for Numerical Methods in Fluids, 49(8), 837-847.

[16]. Pantokratoras, A., & Fang, T. (2011). A note on the Blasius and Sakiadis flow of a non-Newtonian power-law fluid in a constant transverse magnetic field Acta. Mech., 218(1), 187-194.

[17]. Raju, C. S. K., Sekhar, K. R., Ibrahim, S. M., Lorenzini, G., Reddy, G. V., & Lorenzini, E. (2017). Variable viscosity on unsteady dissipative Carreau fluid over a truncated cone filled with titanium alloy nano-particles. Continuum Mech. Thermodyn., 29(3), 699-713.

[18]. Raju, C. S. K., & Sandeep, N. (2016). Falkner-Skan flow of a magnetic-Carreau fluid past a wedge in the presence of cross diffusion effects. Eur. Phys. J. Plus., 131(8), 1-13.

[19]. Raju, M. C., Varma S. V. K., & Rao, R. R. K. (2013). Unsteady MHD free convection and chemically reactive flow past an infinite vertical porous plate. i-manager’s Journal on Future Engineering and Technology, 8(3), 35-40.

[20]. Raju, M. C., Varma, S. V. K., & Reddy, N. A. (2012). Radiation and mass transfer effects on a free convection flow through a porous medium bounded by a vertical surface. i-manager’s Journal of Future Engineering and Technology, 7(2), 7-12.

[21]. Raju, M. C., & Varma, S. V. K. (2011a). Unsteady MHD free convection oscillatory Couette flow through a porous medium with periodic wall temperature. i-manager’s Journal on Future Engineering and Technology, 6(4), 7-12.

[22]. Raju, M. C., Varma, S. V. K., & Reddy, N. A. (2011b). MHD Thermal diffusion Natural convection flow between heated inclined plates in porous medium. i-manager’s Journal on Future Engineering and Technology, 6(2), 45-48.

[23]. Rashidi, M. M., & Erfani, E. (2012). Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating. Eng. Comput., 29(6), 562-579.

[24]. Rashidi, M. M., Rostami, B., Freidoonimehr, N., & Abbasbandy, S. (2014). Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects. Ain Shams Eng. J., 5(3), 901-912.

[25]. Reddy, T. S., Varma, S. V. K., & Raju, M. C. (2012a). Chemical reaction and radiation effects on unsteady MHD free convection flow near a moving vertical plate. i-manager’s Journal on Future Engineering & Technology, 7(4), 11-20.

[26]. Reddy, T. S., Raju, M. C., & Varma, S. V. K., (2012b). The effect of slip condition, radiation and chemical reaction on unsteady MHD periodic flow of a viscous fluid through saturated porous medium in a planar channel. i-manager’s Journal on Mathematics, 1(1), 18-28.

[27]. Saha, S., Saha, G., Islam, Q. M., & Raju, M. C. (2010). Mixed convection inside a lid-driven parallelogram cavity with isoflux heating. i-manager’s Journal on Future Engineering and Technology, 6(1), 14-21.

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i-manager's Journal on Mathematics (JMAT)

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Volume 6 Issue 2 April - June 2017

A Base Index of Iterative and Recursive Trichotomous Relations for the Repeated Measurement of the Digital Application, Construction, and Dissemination of the Tri–Squared Test

James Edward Osler II*

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

Osler, J. E., II. (2017). A Base Index of Iterative and Recursive Trichotomous Relations for the Repeated Measurement of the Digital Application, Construction, and Dissemination of the Tri–Squared Test. i-manager’s Journal on Mathematics, 6(2), 1-16. https://doi.org/10.26634/jmat.6.2.13513

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Thermal Radiation and Chemical Reaction Effects on Unsteady MHD Free Convection Flow of a Viscous Dissipative Casson Fluid Past an Exponentially Infinite Vertical Plate Through Porous Medium with TGHS

S. Rama Mohan* , G.Viswanatha Reddy**, S. Vijaya Kumar Varma***, Bala Krishna Sapparam****

*-**** Department of Mathematics, S.V. University, Tirupathi, A.P, India.

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Fuzzy Connectedness in Fuzzy Biclosure Space

U.D. Tapi* , Bhagyashri. A. Deole**

*-** Department of Applied Mathematics and Computational Science, Shri G.S. Institute of Technology and Science, Indore M.P., India.

Tapi, U.D., and Deole, B.A. (2017). Fuzzy Connectedness in Fuzzy Biclosure Space. i-manager’s Journal on Mathematics, 6(2), 28-33. https://doi.org/10.26634/jmat.6.2.13515

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Radiation Effect on Boundary Layer Flow of a Non Newtonian Jeffrey Fluid Past an Inclined Vertical Plate

V. Ramachandra Reddy* , M. Suryanarayana Reddy**, N. Nagendra***, A. Subba Rao****, M. Sudhakar Reddy*****

Reddy, V.R., Reddy, M.S.N., Nagendra, N., Rao, A.S., and Reddy, M.S. (2017). Radiation Effect on Boundary Layer Flow of a Non Newtonian Jeffrey Fluid Past an Inclined Vertical Plate. i-manager’s Journal on Mathematics, 6(2), 34-41. https://doi.org/10.26634/jmat.6.2.13516

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Steady MHD Heat and Mass Transfer Flow Over a Permeable Stretching Surface with Velocity, Thermal, and Mass Slip Conditions

Kuppala R. Sekhar* , G.Viswanatha Reddy**

* Research Scholar, Department of Mathematics, Sri Venkateswara University, Tirupati, India. ** Senior Professor, Department of Mathematics, Sri Venkateswara University, Tirupati, India.

Sekhar, K.R., and Reddy, G.V. (2017). Steady MHD Heat and Mass Transfer Flow Over a Permeable Stretching Surface with Velocity, Thermal, and Mass Slip Conditions. i-manager’s Journal on Mathematics, 6(2), 42-50. https://doi.org/10.26634/jmat.6.2.13517

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S. Rama Mohan* , G.Viswanatha Reddy, S. Vijaya Kumar Varma*, Bala Krishna Sapparam****

V. Ramachandra Reddy* , M. Suryanarayana Reddy, N. Nagendra, A. Subba Rao, M. Sudhakar Reddy

* Research Scholar, Department of Mathematics, Sri Venkateswara University, Tirupati, India.

** Senior Professor, Department of Mathematics, Sri Venkateswara University, Tirupati, India.