Papers

Journal of Ultra Scientist of Physical Sciences - Section A (Mathematics)
Voulume: 29
Issue: 8
Article No. 1
Magnetohydrodynamic (MHD) mixed convective periodic flow through porous medium in a rotating channel
Y. SWAPNA,
Department of Mathematics, S.V. University, Tirupati -517502, A.P. (India)
M.C. RAJU,
Department of Mathematics, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet- 516126, A.P. (India)
RAM PRAKASH SHARMA (ramprakash0808@gmail.com)
Department of Mathematics, JECRC University, Jaipur-303 905, Rajasthan (India)
S. V. K. VARMA
Department of Mathematics, S.V. University, Tirupati -517502, A.P. (India)
Abstract :

An attempt has been made to study heat and mass transfer effect on MHD mixed convection periodic flow in a rotating vertical porous channel with Hall effect, thermal radiation and chemical reaction. The coupled nonlinear partial differential equation are turned to ordinary differential equation by super imposing a solution with steady and time dependent transient part. Finally, the set of ordinary differential equations are solved with an analytical scheme to meet the inadequacy of boundary condition. The expressions for velocity, temperature and concentration are obtained analytically. The effects of various parameters on the velocity, temperature and concentration are discussed in detail with the aid of graphs.

Keyword : Chemical reaction, Hall current, MHD, periodic flow, porous medium, 76W05, 76E15
Paper Download Count : 23
View Count : 22
Article No. 2
A Theorem on Dislocated Quasi-Metric Space
MANOJ GARG (garg_manoj1972@yahoo.co.in)
P.G. Department of Mathematics, Nehru (P.G.) College, Chhibramau, Kannauj U.P. (India)
Abstract :

In this paper, we introduce a fixed point theorem in generalized form for continuous contracting mappings in dislocated quasi-metric space. Our result generalizes and extends the work of Manoj6, Isufati5 and then show that the result of Zeyada4 is special case of our theorem

Keyword : Fixed point, dislocated quasi-metric space, Subjict Classification Code: 47H10, 54H25
Paper Download Count : 10
View Count : 22
Article No. 3
Effects of Ohmic dissipation and chemical reaction on MHD free convection flow through porous medium with thermal radiation
RAM PRAKASH SHARMA (ramprakash0808@gmail.com)
Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan (India)
MADHU JAIN
Department of Mathematics, IIT Roorkee, Uttarakhand u2013 247667 (India)
SHANKAR RAO MUNJAM
3Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
DEVENDRA KUMAR
Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan (India)
Abstract :

The heat and mass transfer impacts on a steady 2–dimensional magnetohydrodynamic (MHD) natural,convection boundary layer flow of viscous fluid surrounded by a porous vertical surface with heat source, Ohmic dissipation, chemical reaction and radiation effects are studied. The governing partial differential equations (PDE) are converted into a set of ordinary differential equations (ODE) employing non-dimensional quantities then we solved the ODE employing perturbation method. Most of the studies so far have presented the numerical and semi analytical solutions of flow and heat transfer because of porous vertical surface. Present analysis on analytical solution for the flow velocity and the temperature in the form of a series solution. It was found that increasing the permeability parameter and radiation parameter, the corresponding value of velocityincreases and a reverse trend has seen in magnetic parameter.

Keyword : Boundary layer, Chemical reaction, MHD, Porous medium, MSC Code: 34K10, 34K28, 76W05
Paper Download Count : 11
View Count : 9
Article No. 4
Free Convective Flow Past a Vertical Plate Through Porous Medium in Slip- Flow Regime with Periodic Temperature Variations and Viscous Heating
VINOD KUMAR (vinodsingh.shibu@gmail.com)
Department of Mathematics, Chintamani College of Science Pombhurna Dist. Chandrapur (M.H) India,
Abstract :

In present paper is study of an unsteady free convective viscous incompressible flow past a vertical porous flat plate through porous medium with periodic temperature has been discussed in slip-flow regime. Terms involving viscous dissipation have been retained in the energy equation. The temperature of the plate oscillates in time about a constant mean. The analytical expressions for flow characteristics are obtained for variable suction at the porous plate through porous medium. The effect of various parameters on the transient velocity, transient temperature, the skin-friction and rate of heat transfer are discussed with the help of graphs.

Keyword : Free convection, variable suction, viscous dissipation, rarefaction, slip flow.
Paper Download Count : 8
View Count : 26
Article No. 5
Hyper B -Ideals in Hyper B -Algebra
ANN LESLIE O. VICEDO (annleslievicedo@gmail.com)
Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines
JOCELYN P. VILELA
Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines
Abstract :

Hyperstructure theory has many applications to several areas of pure and applied sciences. This paper investigates some properties of hyper B -algebras which is a generalization of B -algebras. This paper also introduces the notion of hyper B -ideals, weak hyper B -ideals and strong hyper B -ideals in hyper B - algebras and gives some relations among these hyper B -ideals. Relations between hyper B -ideals and subhyper B -algebras of H is also discussed. Moreover, homomorphism on hyper B -algebra is defined and some related properties are given. Finally, proof of the relationship between the hyper B -algebras and hypergroups is provided.

Keyword : Hyperstructure, Hyper B -algebra, hyper B -ideals, 20N20,, 06F35, 03G25
Paper Download Count : 10
View Count : 23
Article No. 6
A New Concept of Pairwise Quasi-H-Closed Spaces Via Ideals
MANOJ GARG (garg_manoj1972@yahoo.co.in)
P. G. Department and Research Centre of Mathematics, Nehru Degree College, Chhibramau, Kannauj, U.P. (India)
Abstract :

In this paper, we define pair wise quasi-H-closed modulo an ideal spaces and study some of its properties.

Keyword : Topological ideals, (I ) QHC-space, 2000 Mathematics Subject Classification: 54E55.
Paper Download Count : 14
View Count : 35
Article No. 7
Multiple Congruences of Lattices By Gluing
R. RATHA JEYALAKSHMI (rathajeyal@yahoo.com)
Department of Mathematics Mepco Schlenk Engineering College, Sivakasi u2013 626005 Tamilnadu (India)
Abstract :

In this paper we use the Hall – Dilworth gluing construction to obtain multiple congruences of a lattice L. For any finite lattice L, ( , ) m n G L B , the gluing of L and n B over F and I, both F and I are isomorphic to 2 C . For any lattice L, the congruences of Gm (L, Bn ) is 2(n1) times the congruences of L where F be the filter of L and I be an ideal of n B and are isomorphic to 2 C . We call ( , ) m n G L B the congruence multiple operator.

Keyword : Gluing, filter, ideal, congruence , multiple congruence, Mathematics Subject classification: Primary: 06B10, Secondary: 06D05
Paper Download Count : 8
View Count : 24
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