Category: Issue 2

Issue 2, Volume 28

On Induced Affine Connection of Almost Hyperbolic Hermitian Manifold

SUSHIL SHUKLA and SHIKHA TIWARI
Department of Applied Science (Mathematics), BBDIT, Gaziabad (India)
sushilcws@gmail.com

ABSTRACT:

The purpose of the present paper is to study properties of hyperdistribution of real hypersurfaces of almost hyperbolic Hermitian manifold with induced affine connection.

KEYWORDS: Almost Hermitian manifolds, Real submanifolds, induced affine connection. 2010 AMS Subject Classification: 53C15, 53C25, 53C20


The purpose of the present paper is to study properties of hyperdistribution of real hypersurfaces of almost hyperbolic Hermitian manifold with induced affine connection.

Issue 2, Volume 28

Bianchi type III string cosmological model with bulk viscosity and with out time depending  term

1SAPNA SHRIMALI and 2TEENA JOSHI
1Associate professor in Department of Mathematics, Pacific Academy of Higher Education & research University, Udaipur (Rajasthan) (India)
1shrimalisapna@gmail.com
2Research scholar in Department of Mathematics, Pacific Academy of Higher Education & research University, Udaipur (Rajasthan) (India)
1teenajoshi220289@gmail.com

ABSTRACT:

We have investigated Bianchi type III string cosmological model with bulk viscosity and without time depending  term. To obtain a determinate solution, it is assumed that coefficient of bulk viscosity is proportional to shear scalar . The physical and geometrical features are also discussed.

KEYWORDS: Bianchi type III, Cosmic string, Bulk viscosity,space time.


We have investigated Bianchi type III string cosmological model with bulk viscosity and without time depending  term. To obtain a determinate solution, it is assumed that coefficient of bulk viscosity...

Issue 2, Volume 28

Influence of Slip and Joule Heating on MHD Peristaltic Blood flow with uniform Porous medium through an Inclined asymmetric Vertical Tapered Channel in the presence of Radiation-Blood flow model

Sk. ABZAL*1, S.VIJAYA KUMAR VARMA2 and S.RAVI KUMAR3
1Department of Mathematics, NBKR Institute of Science and Technology (Autonomous), Vidyanagar, SPSR Nellore,Andhra Pradesh (India).
2Department of Mathematics, Sri Venkateswara University, Tirupati,Andhra Pradesh (India).
3Department of Mathematics NBKR Institute of Science and Technology (Autonomous), Vidyanagar, SPSR Nellore,Andhra Pradesh (India).

Corresponding author email:abbuoct23@gmail.com

ABSTRACT:

In this article, an influence of slip and joule heating on MHD peristaltic blood flow with uniform porous medium through an inclined asymmetric vertical tapered channel in the presence of radiation -blood flow model have been investigated. The impact of all the physical parameters is plotted for velocity profile, pressure gradient, temperature and heat transfer coefficient. It is notice that the axial velocity increases with increase in M, β, η and α. We observe that the pressure gradient enhances with increase in M, β, η and α. However reverse situation is observed for an increase in the values of porous parameter (Da) andVolumetric flow rate (Q). Further, we notice that the temperaturedistribution increases with increase in M, Pr, Da, N, γ and Br and alsotemperature distribution decreases with increase in β and η.

KEYWORDS: MHD, Joule heating, radiation, porous medium and Inclined channel.


Issue 2, Volume 28

Analysis of Joule heating and Radiation on Hydromagnetic Peristaltic flow with porous medium through a coaxial asymmetric Vertical Inclined Tapered Channel

Sk. ABZAL*1, S.VIJAYA KUMAR VARMA2 and S. RAVI KUMAR3
1Department of Mathematics, NBKR Institute of Science and Technology (Autonomous), Vidyanagar, SPSR Nellore,Andhra Pradesh (India)
2Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh (India)
3Department of Mathematics NBKR Institute of Science and Technology (Autonomous), Vidyanagar, SPSR Nellore,Andhra Pradesh, India.
Corresponding author email:abbuoct23@gmail.com

ABSTRACT:

The aim of the present attempt was to investigate analysis of joule heating and radiation on hydromagnetic peristaltic flow with the porous medium through a coaxial asymmetric vertical inclined tapered channel. The Mathematical modeling is investigated by utilizing long wavelength and low Reynolds number assumptions. Analytical solutions are obtained for the axial velocity, pressure gradient, temperature, and heat transfer coefficient. The effects of Hartmann number, porosity parameter, volumetric flow rate, radiation parameter, non-uniform parameter, gravitational parameter, shift angle, Prandtl number, Brinkman number, heat source/sink parameter on axial velocity characteristics, pressure gradient characteristics, temperature characteristics, and heat transfer coefficient characteristics are presented graphically and discussed in detail.

KEYWORDS: Joule heating, radiation parameter, inclined channel, tapered channel, MHD.


Issue 2, Volume 28

New Sort of Separation Axioms in Extended Bitopology

1M. LELLIS THIVAGAR, 2M.DAVAMANI CHRISTOBER, 3V. RAMESH and 4M. AROCKIA DASAN
1,3,4School of Mathematics, Madurai Kamaraj University,Madurai-625 021, Tamil Nadu (India)
2Department of Mathematics, The American College ,Madurai – 625 002, Tamil Nadu (India)

3.E-mail : kabilanchelian@gmail.com

ABSTRACT:

In this paper, we introduce and establish some new separation axioms using the --open sets, -semi-open sets, –
pre-open sets in extended bitopological ultra spaces called as – Ri, -Semi-Ri (i=0,1), -RD, -RT, and -RYS
spaces. We also investigate some of their basic properties and establish the relationship between them.

KEYWORDS: Ultra+ -Ri, Ultra+-Semi-Ri(i=0,1),Ultra+-RD, Ultra+ -RT, and Ultra+-RT, and Ultra+-Rys spaces


In this paper, we introduce and establish some new separation axioms using the --open sets, -semi-open sets, – pre-open sets in extended topological ultra spaces called as – Ri, -Semi-Ri...