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Category: Issue 12

Heat and Mass Transfer on unsteady MHD free convective flow through a porous medium over an infinite vertical plate with time dependent permeability and oscillatory suction

M. GANGADHAR REDDY
Research Scholar, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh-518007, (India)
M. VEERA KRISHNA
Assistant Professor, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh-518007, (India)

ABSTRACT:

We considered the free convective flow over an infinite vertical porous plate under the influence of uniform transverse magnate field with time dependent permeability and oscillatory suction. The equations of the flow are solved by perturbation method for small amplitude of the permeability. The closed form solutions for the velocity, temperature and concentration have been derived analytically and also its behavior is computationally discussed with reference to different flow parameters with the help of profiles. The skin fiction on the Nusselt number and Sherwood number are also attained and their behavior computationally discussed.

KEYWORDS: mass transfer, oscillatory suction, porous medium, MHD flow, vertical plates, 80A20, 76Sxx, 76N20, 76A05, 76A10


We considered the free convective flow over an infinite vertical porous plate under the influence of uniform transverse magnate field with time dependent permeability and oscillatory suction. The equations...

A note on absolute indexed Riesz Summability factor

B.P. PADHY
Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, Odisha, (India)
P.TRIPATHY
Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, Odisha, (India)
B.B. MISHRA
Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, Odisha, (India)
U.K. MISRA
Department of Mathematics, National Institute of Science and Technology, Pallur Hills, Berhampur, Odisha, (India)

ABSTRACT:

In this paper we have established , , ( ), , n n k N p    k  1,  0 , summability faotor using f – power increasing sequence. by extending the result of Paikray et al., who have proved , ; , k  1,  0 n k N p , summability factor of an infinite series using f – power increasing sequence.

KEYWORDS: Quasi-increasing, quasi - f - power increasing, indexed absolute Summability, summability factor, 2010 Mathematics subject classification: 40A05, 40D15, 40F05


In this paper we have established , , ( ), , n n k N p    k  1,  0 , summability faotor using f...

New Approach for Selection of Candidate by TOPSIS Technique

P. K. PARIDA
Department of Mathematics, C.V. Raman College of Engineering, Bhubaneswar (India)
D. MISHRA
Department of Mathematics, C.V. Raman College of Engineering, Bhubaneswar (India)
B. BEHERA
Department of Mathematics, Chanakya +2 Science College, Bhubaneswar (India)

ABSTRACT:

The Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is a multi-criteria decision analysis method which is currently one of the most popular methods and has been shown to provide helpful outputs in various application areas. In this paper, we identify the set of important parameters of the decision making system and concept of TOPSIS, and calculate the distance of each alternative from the shortest geometric distance from positive ideal solution (SGDFPIS) and longest geometric distance from negative ideal solution (LGDFNIS). Finally, we use a numerical experiment to illustrate the procedure of the proposed approach. Key

KEYWORDS: MCDM, TOPSIS, SGDFPIS, LGDFNIS


The Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is a multi-criteria decision analysis method which is currently one of the most popular methods and has...

A note on fuzzy continuous mappings in fuzzy biclosure spaces

RICHA TRIPATHI
Department of Mathematics, M.G.C.G.V. Chitrakoot, Satna (India)
MANJARI SRIVASTAVA
Department of Mathematics, V.S.S.D. College, Kanpur (India)
ANIL AGRAWAL
Department of Mathematics, M.G.C.G.V. Chitrakoot, Satna (India)

ABSTRACT:

Here in this paper we study various types of continuity in fuzzy biclosure spaces. In particular we introduce fuzzy continuous map, fuzzy bicontinuous map and fuzzy strong pairwise continuous map in fuzzy biclosure spaces. We compare them with each other and we also obtain some relevant results.

KEYWORDS: Fuzzy closure operator, fuzzy biclosure space, fuzzy continuous map


Here in this paper we study various types of continuity in fuzzy biclosure spaces. In particular we introduce fuzzy continuous map, fuzzy bicontinuous map and fuzzy strong pairwise continuous...

MHD boundary layer stagnation point flow of non-Newtonian Micropolar Nanofluid flow over a permeable vertical plate with chemical reaction effects

S. JAGADHA
Department of Mathematics, Institute of Aeronautical Engineering, Hyderabad, T.S. (India)
N. KISHAN
Department of Mathematics, University College of Science, Osmania University, Hyderabad,T.S. (India)

ABSTRACT:

The paper presents an investigation of the influence of chemical reaction on steady mixed convection MHD flow of Non-Newtonian micropolar nanofluid past a permeable vertical plate. The effect of Thermophoresis parameter and Brownian motion parameter are incorporated in the energy equation and concentration equation. The governing partial differential equations are converted into a system of ordinary differential equations using similarity transformations. The sysyem of linear equations are solved by using the implicit finite difference method. The effect of different parameters on the dimensionless velocity, temperature and concentration are shown graphically and analyzed. The effect of physical parameters such as material parameter K, suction parameter A, Prandtl number Pr, radiation parameter R, thermophoresis parameter Nt, Brownian motion parameter Nb, chemical reaction parameter  and magnetic parameter Ha are also being numerically investigated and analyzed.

KEYWORDS: MHD, Micropolar nanofluid, Thermophoresis parameter


The paper presents an investigation of the influence of chemical reaction on steady mixed convection MHD flow of Non-Newtonian micropolar nanofluid past a permeable vertical plate. The effect of...

On Lie recurrent Lightlike Hypersurfaces of indefinite almost hyperbolic Hermitian Manifold with Semi-Symmetric Metric Connection

SHIKHA TIWARI
Department of Applied Science (Mathematics), BBDIT, Gaziabad (India)
SUSHIL SHUKLA
Department of Applied Science (Mathematics), BBDIT, Gaziabad (India)

ABSTRACT:

The object of present paper is to study the properties of Lie recurrent lightlike hypersurfaces of indefinite hyperbolic Hermitian manifold with Semi –symmetric metric connection.

KEYWORDS: Semi-symmetric metric connection, lightlike hypersurface, Lie recurrent lightlike hypersurfaces, Mathematics Subject Classification: 53C15, 53C25, 53C50


The object of present paper is to study the properties of Lie recurrent lightlike hypersurfaces of indefinite hyperbolic Hermitian manifold with Semi –symmetric metric connection.