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Category: Issue 2

Mixed convective flow over a non-isothermal radiative Vertical surface embedded in a porous medium with Applied magnetic field

K. Rama Krishna
Principal, Loyola Institute of Technology and Management, Sattenapalli, (INDIA)
V.V. Sobha
Department of Engineering Mathematics, A.U., College of Engineering, Andhra Pradesh Visakhapatnama (INDIA)
R.K. Kondragunta
Research Scholar, Department of Mathematics, K.L. College of Engineering, Vaddeswaram (INDIA)

ABSTRACT:

The present paper deals with magneto hydrodynamic mixed convection heat transfer analysis over a vertical surface embedded in saturated porous medium with variable wall temperature. The effects of transverse magnetic field, radiation heat transfer and dissipation are examined. The plate temperature in excess of constant temperature of the ambient fluid is assumed to be proportional to xl. The ratio of Rayleigh to Peclet number is taken as mixed convective parameter (Î) and the effect of Î>0 and Î<0 on the boundary layer solution is studied and presented in the graphical form. The boundary layer solutions are obtained by using similarity variables for Î>0 and Î<0. It is found that with the increase in l value and radiation parameter (F), the rate of heat transfer increases through medium. Different velocity and temperature profiles and Nusselt number variation for both buoyancy aiding flow and opposing flow are also presented.

KEYWORDS: Mixed convection, Porous medium, Radiation, Variable Temperature, dissipation, MHD


The present paper deals with magneto hydrodynamic mixed convection heat transfer analysis over a vertical surface embedded in saturated porous medium with variable wall temperature. The effects of transverse...

Some new relations of generalized voigt-function involving partial derivatives

Atul Garg
Department of Mathematics, S.M.L. (PG) College, Jhunjhunu – 333001 (Rajasthan) INDIA)

ABSTRACT:

Aim of this paper is to present multivariable and multiindices study of the generalized Voigt- function which plays an important role in the several diverse fields of physics such as astrophysical spectroscopy and the theory of neutron reactions. Derivative of Voigt function is introduced first time here. Some important recurrence relations involving derivative are also given in terms of generalized Voigt function.

KEYWORDS: Voigt function, Bessel function, Derivative, Recurrence relation.


Aim of this paper is to present multivariable and multiindices study of the generalized Voigt- function which plays an important role in the several diverse fields of physics such...

Solution of certain simultaneous quadruple series equations involving generalized Bateman-k functions

Mukti Richhariya
Department of Mathematics, Hindustan College of Science & Technology, Farah, (Mathura) INDIA)
P.K. Mathur
Department of Mathematics Saifia Sc. College, Bhopal (INDIA)
Kuldeep Narain
Department of Mathematics, The University of Fijji, Saweni, Lautoka Fijji (ISLANDS)

ABSTRACT:

In this paper, a closed form solution is obtained for the simultaneous quadruple series equations using generalized Bateman-k functions by multiplying factor method.

KEYWORDS: Solution of certain , simultaneous quadruple, series equations, involving generalized


In this paper, a closed form solution is obtained for the simultaneous quadruple series equations using generalized Bateman-k functions by multiplying factor method.

Effect of thermal dispersion and viscous dissipation on MHD radiative non-Darcy mixed convection in a fluid saturated porous medium

V.V. Sobha
Department of Engineering Mathematic, A.U.. College of Engineering. Andhra University, Visakhapatnam (INDIA)
K. Rama Krishna
Principal, Loyola Institute of Technology and Management, Sattenapalli, (INDIA)
R.K. Kondragunta
Research Scholar, Department of Mathematics, K.L. College of Engineering, Vaddeswaram (INDIA)

ABSTRACT:

The present paper is aimed at analyzing magneto hydrodynamic mixed convective flow and heat transfer about a non-isothermal vertical wall embedded in a porous medium. The Frochheimer extension is considered and the effects of thermal dispersion, Radiation and viscous dissipation in aiding and opposing flow conditions are examined. The wall temperature in excess of constant temperature of the ambient fluid is assumed to be proportional to x2 The effects of thermal dispersion and viscous dissipation on heat transfer rate are examined under the above-specified conditions and are presented in graphical form. The observations revealed that both thermal dispersion and viscous dissipation enhances the heat transfer rate. However under high magnetic fields their effect is found negligible. Velocity, temperature profiles and Nusselt number variation under different conditions are also presented.

KEYWORDS: Thermal dispersion, viscous dissipation, MHD, Mixed convection, Porous medium, Radiation


The present paper is aimed at analyzing magneto hydrodynamic mixed convective flow and heat transfer about a non-isothermal vertical wall embedded in a porous medium. The Frochheimer extension is...

A stochastic model for estimation of expected time to recruitment under correlated wastage

A. Muthaiyan
Head of the Department of Mathematics, Roever Engineering College, Perambalur -621 212 (INDIA)
R. Sathiyamoorthi
Professor, & Head (Retd.) Department of Statics, Annmalai University, Annamalainagar – 608 002 (INDIA)

ABSTRACT:

In Business and Industrial organization the leaving of personnel is a common phenomenon. This is called wastage. The estimate of the size of wastage and the likely important aspect of study in manpower planning models. The wastage on successive occasions of policy decision regarding, promotion pay, perquisites and targets, are allowed to cumulate since recruitment can not be done after every decision epoch. In this paper an estimate of the expected time to recruitment, is discussed, taking the time to recruitment as a random, variable. Its variance is also obtained and Numerical illustration provided.

KEYWORDS: estimation of expected, recruitment , wastage


In Business and Industrial organization the leaving of personnel is a common phenomenon. This is called wastage. The estimate of the size of wastage and the likely important aspect...

Common Fixed Point Theorems in Hilbert Spaces

O. P. Gupta
Head of Mathematics Department Star Academy of Technology and Management , INDORE (INDIA)
V. H. Badshah
Head of Mathematics Department Star Academy of Technology and Management , INDORE (INDIA)

ABSTRACT:

In this paper we prove a unique common fixed point theorem on a closed subset of a Hilbert space. The result presented in this paper is generalize and extended some previously know result.

KEYWORDS: Fixed point, Hilbert space, Banach space , Closed subset


In this paper we prove a unique common fixed point theorem on a closed subset of a Hilbert space. The result presented in this paper is generalize and extended...

Numerical Solution of Transient Free Convective Flow Past a Vertical Porous Plate with Viscous Dissipation and Radiation

S. S. TAK (sstak@rediffmail.com)
Department of Mathematics and Statics JNV University, Jodhpur (INDIA)
Rajeev Mathur (rajeev.mathur69@gmail.com)
Department of Computer Science L.M., College of Science and Technology, Jodhpur (INDIA)

ABSTRACT:

The combined effect of viscous dissipation and radiation on transient free convection flow past an infinite vertical porous plate has been studied numerically using Crank Nicolson finite difference scheme. It is found that the steady-state solution is reached after time ts = 8.5. It is also observed that due to greater viscous dissipative heat or the presence of radiation, there is a rise in the skin friction and a fall in the Nusselt number.

KEYWORDS: Numerical Solution, Transient Free Convective, Vertical Porous


The combined effect of viscous dissipation and radiation on transient free convection flow past an infinite vertical porous plate has been studied numerically using Crank Nicolson finite difference scheme....

On 3 – inverses of GM matrix

Krishnamoorthy S.
Reader in Mathematics Government Arts College (Autonomous) Kumbakonam – 612 001 (INDIA)
Gunasekaran.K
Lecturer in Mathematics
Muthugobal.BKN
Ramanujan Research Centre

ABSTRACT:

We initiate to fine the 3 – inverse of GM matrix on a set of two distinct positive integers. The eigen value and eigen vectors are determined for the GM matrix.

KEYWORDS: Matrix - GM matrix, Positive in integers, LCM, GCB, generalized inverse


We initiate to fine the 3 – inverse of GM matrix on a set of two distinct positive integers. The eigen value and eigen vectors are determined for the...

E-convex programmings

P. THANGAVELU (ptvelu12@gmail.com)
Research Department of Mathematics, Aditanagar College, Tiruchendur – 628216 (INDIA)
J. SHEIBA GRACE
Research Department of Mathematics, Aditanagar College, Tiruchendur – 628216 (INDIA)

ABSTRACT:

Youness introduced the concepts of E-convex sets and E-convex functions and studied their properties. Following this Xiusu Chen and Suneja, Lalitha and Govil studied the applications of E-convex functions. In this paper we show that Theorem 3.1 of Youness [J. Optim. Theory Appl. 102(2)(1999), 439-450] is incorrect by giving some counter examples. We modify Theorem 3.1 of Youness and apply this to solve an E-convex programming problem.

KEYWORDS: E-convex sets, E-convex functions, E-epigraph, counter examples, E-convex functions.


Youness introduced the concepts of E-convex sets and E-convex functions and studied their properties. Following this Xiusu Chen and Suneja, Lalitha and Govil studied the applications of E-convex functions....

Fixed point theorems on Hausdorff spaces

Zaheer K Ansari (zkansari@rediffmail.com)
Department of Applied Mathematics JSS Academy of Technical Education C- 20/1, Sector 62, NOIDA – 201301 , UP (INDIA)
Rajesh Shrivastava (rajshraju101@rediffmail.com)
Department of Mathematics Govt., Science & Commerce College, Benazir, Bhopal (MP) INDIA
Arun Garg
Department of Mathematics Institute of Technology & Management, ITM Campus, Opp, Sithouli Rly, Station, NH-75, Jhansi Road, Gwalior (MP) INDIA – 474001 (INDIA)
Manish Sharma
Department of Mathematics Institute of Technology & Management, ITM Campus, Opp, Sithouli Rly, Station, NH-75, Jhansi Road, Gwalior (MP) INDIA – 474001 (INDIA)

ABSTRACT:

In present paper, some fixed point theorems in Hausdorff spaces have been proved, which generalize the theorem of YEH, C.C. 2. Let (X, d) be metric space. A mapping T of X into itself is said to be contractive if, d (Tx, Ty) < d (x, y) ; ” x , y Î X.

KEYWORDS: Results on Hausdorff spaces, fixed point theorem


In present paper, some fixed point theorems in Hausdorff spaces have been proved, which generalize the theorem of YEH, C.C. 2. Let (X, d) be metric space. A mapping T...