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Category: Issue 9

Chemical Reaction and Radiation Effects on Unsteady MHD Convective flow Through a Porous Medium in the Presence of Heat Absorption

R. MOHANA RAMANA (mohanaramanacrypto@gmail.com)
1Sree Vidyanikethan Engineering College, A.Rangampet, near Tirupati, Andhra Pradesh, India
J. GIRISH KUMAR
Government Degree College, Sreekalahasti, Andhra Pradesh, India

ABSTRACT:

Influences of chemical reaction and radiation on unsteady magnetohydodynamic free convection flow of an electrically conducting fluid past an exponentially accelerated infinite vertical plate through a porous medium with constant heat flux under the presence of uniform magnetic field fixed relative to the fluid or to the plate in the consideration of heat absorption have been studied. The governing partial differential equations of the flow have been solved analytically by using Laplace transform technique and the profiles for the velocity, temperature and concentration were discussed. The effects of various physical parameters such as the Prandtl number, heat absorption parameter, radiation parameter, Grashof number, Chemical reaction parameter, magnetic field parameter and permeability parameters on the flow fields are analyzed through graphs.

KEYWORDS: MHD, Chemical reaction parameter, Thermal Diffusion, Porous medium, eat absorption parameter, 58D30-Applications


Influences of chemical reaction and radiation on unsteady magnetohydodynamic free convection flow of an electrically conducting fluid past an exponentially accelerated infinite vertical plate through a porous medium with...

A New Technique on Ranking Trapezoidal Fuzzy Numbers to Solve Fuzzy Assignment Problem

M. ANANTHANARAYANAN
Assoicate Professor, Department of Mathematics, A.M.JAIN College,Chennai-600 114 (India)
P. MALINI (malinigeethas@gmail.com)
Assistant Professor, Department of Mathematics, Jeppiaar Engineering College, Chennai-6000119 (India)

ABSTRACT:

In this paper a ranking procedure based on trapezoidal fuzzy numbers, is applied to a fuzzy valued assignment problem. Using this ranking method we convert any fuzzy assignment problem to a crisp valued assignment problem which then can be solved using the HUNGARIAN method. The proposed method serves as an efficient method in ranking Trapezoidal fuzzy numbers which is illustrated through a numerical example.

KEYWORDS: Trapezoidal Fuzzy numbers, Fuzzy Assignment Problem, AMS Subject Classification : 090BXX


In this paper a ranking procedure based on trapezoidal fuzzy numbers, is applied to a fuzzy valued assignment problem. Using this ranking method we convert any fuzzy assignment problem...

Another Type of Weakly Closed sets on Semi – Regular

A. THIRIPURAM (thiripuram82@gmail.com)
Department of Mathematics, Jeppiaar Engineering College Chennai (India)

ABSTRACT:

In this paper we introduce and study the new class of closed sets called semi--regular weakly closed (briefly srw-closed) set in the topological spaces. This new class of set lies between the class of -closed sets and the class of generalised semi closed sets. We study the fundamental properties of this class of sets.

KEYWORDS: Semi-closed set, uf061-closed sets, w-closed, topological space, 2010 Mathematics Classification: 54A05, 54A10


In this paper we introduce and study the new class of closed sets called semi--regular weakly closed (briefly srw-closed) set in the topological spaces. This new class of set...

Generalized Salagean-Type Harmonic Univalent Functions with Negative Coefficients

A.K. SHARMA (aksharma.maths@gmail.com)
P.G. Department of Mathematics, K.K. Post Graduate College, Etawah (U.P.) (India)
K.K. DIXIT
P.G. Department of Mathematics, Janta College, Bakewar, Etawah (U.P.) India

ABSTRACT:

The purpose of this paper is to derive certain interesting properties involving coefficient inequalities, distortion bounds, extreme points, convex combination and radii of convexity for a new class of generalized Salagean-Type harmonic univalent functions in the open unit disc. Relevant connections of our results with various known results are briefly indicated.

KEYWORDS: Salagean operator, harmonic univalent functions, 2000 Mathematics Subject Classification: 30C45, 31A05


The purpose of this paper is to derive certain interesting properties involving coefficient inequalities, distortion bounds, extreme points, convex combination and radii of convexity for a new class of...

A Production fuzzy Inventory model for deteriorating items Defuzzified by Graded Mean Integration Representation Method

S. K. INDRAJITSINGHA (ski.rs.math@buodisha.edu.in)
DST INSPIRE fellow, P.G. Department of Mathematics, Berhampur University, Berhampur, Bhanja Bihar-760 007, Odisha (India)
P.N. SAMANTA
P.G. Department of Mathematics, Berhampur University, Berhampur, Bhanja Bihar-760 007, Odisha (India)
U.K. MISRA
Department of Mathematics, NIST, Golanthara, PalurHill, Pin-761 008, Berhampur, Odisha, (India)

ABSTRACT:

This paper develops a production inventory model for deteriorating items under fuzzy environment. Since holding cost, set-up cost, deterioration cost, deterioration rate, production rate, demand etc. are uncertain in nature; these are carried by pentagonal fuzzy numbers. Graded Mean Integration Representation (GMIR) method is used to defuzzify the total cost function. Numerical example is given to explore the theoretical results and made the comprehensive. Sensitivity analysis with different parameters on the optimal solution is carried to illustrate the effectiveness and behavior of the model.

KEYWORDS: Inventory Model, Pentagonal Fuzzy Number, Graded Mean Integration Representation Method, Defuzzification, AMS Classification No: 03E72


This paper develops a production inventory model for deteriorating items under fuzzy environment. Since holding cost, set-up cost, deterioration cost, deterioration rate, production rate, demand etc. are uncertain in...

Indexed Absolute Riesz Summability Using General Class of Power Increasing Sequence

D. ACHARYA (dpak.acharya888@gmail.com,)
National Institute of Science and Technology, Ganjam, Odisha, (India)
S.SAHU (subrataviit@gmail.com)
National Institute of Science and Technology, Ganjam, Odisha, India
P.C.NAYAK
Bhadrak( Autonomous ) College, Bhadrak, Odisha, India
U.K.MISRA
National Institute of Science and Technology, Ganjam, Odisha, India

ABSTRACT:

Extending the result of Bor(2016) and subsequently Majhi et al, a new result concerning absolute indexed Riesz Summability factors, using quasi power increasing sequence, has been established.

KEYWORDS: Riesz mean, Summability factors, Quasi-increasing, indexed absolute summability, Subject Classification 26D45, 40A05, 40D15, 40F05


Extending the result of Bor(2016) and subsequently Majhi et al, a new result concerning absolute indexed Riesz Summability factors, using quasi power increasing sequence, has been established.