Browsing by Author "Arunachalam T"

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EFFECT OF HALL CURRENT ON HEAT AND MASS TRANSFER OF FREE CONVECTIVE FLOW OVER A FLAT POROUS PLATE EMBEDDED IN POROUS MEDIUM – A NUMERICAL INVESTIGATION
(Nonlinear Analysis and Differential Equations, 2016) Sumathi K; Arunachalam T; Kavitha R
An analysis of the effect of Hall current on free convective MHD flow along with heat and mass transfer over a flat porous plate embedded in porous mediumhas been carried outnumerically. The governing non-linear partial differentialequations together with the boundary conditions are reduced to a system of non-linear ordinary differential equations by using similarity transformations. The system of non-linear ordinary differential equations issolved by shooting procedure using fourth order Runge-Kutta Method. The effects of permeability, magnetic parameter, Schmidt number, Soret number and Hall parameter over velocity, temperature and concentration profiles, Skin friction, rate of heat and mass transferat the plate are discussed in detail.
EFFECT OF HALL CURRENT ON MHD OSCILLATORY SLIP FLOW WITH VARYING TEMPERATURE AND CONCENTRATION
(Asian Journal of Applied Sciences, 2017) Sumathi K; Arunachalam T; Radha N
An investigation of the effect of Hall current on an unsteady MHD mixed convective oscillatory flowof an electrically conducting fluid through a planar channel filled with saturated porous medium is carried out in this paper. The effect of buoyancy, heat source, thermal radiation, chemical reaction and Hall current are taken into account with slip velocity, varying temperature and concentration at the lower boundary. A series solution is found using perturbation techniques. The effects of various parameters on the main and cross flow velocity, temperature, Skin friction, rate of heat and mass transfer are discussed numerically.
EFFECT OF HALL CURRENT ON THERMAL STABILITY OF SUPERPOSED FLUID AND POROUS LAYER
(Journal of Computer and Mathematical Sciences, (An International Research Journal), 2018) Sumathi K; Arunachalam T; Aiswarya S
A linear stability analysis of a viscous incompressible fluid saturated porous medium under the influence of vertical magnetic field in the presence of Hall current has been investigated. Asymptotic solutions of velocity, temperature, fluid vorticity, current density and magnetic field in terms of wave number as perturbation parameter are obtained. The influence of various non-dimensional parameters such as Hall current, Chandrasekhar number, magnetic Prandtl number, Prandtl number, Darcy number, porosity and wave number on stability characteristics of flow field are represented numerically
EFFECT OF MAGNETIC FIELD ON STEADY BOUNDARY LAYER SLIP FLOW ALONG WITH HEAT AND MASS TRANSFER OVER A FLAT POROUS PLATE EMBEDDED IN A POROUS MEDIUM
(Global Journal of Pure and Applied Mathematics, 2017) Sumathi K; Arunachalam T; Kavitha R
In this study, we investigate the effect of magnetic field on steady boundary layer flow along with heat and mass transfer over a flat porous plate with slip boundary condition at the boundary in a porous medium using shooting method with fourth order Runge-Kutta Method. The velocity, temperature and concentration distribution are calculated for different governing parameters. The effect of various non-dimensional parameters like magnetic parameter (M), Schmidt number (𝑆𝑐), Soret number (𝑆𝑟), Suction/blowing parameter (𝑆)are investigated with the aid of graphs. The effect of these dimensionless parameters skin-friction, rate of heat and mass transfer are discussed in detail to understand the physical aspects of the solutions
EFFECT OF MAGNETIC FIELD ON THREE DIMENSIONAL COUETTE SLIP FLOW PAST POROUS PLATES
(Applied Mathematical Sciences, 2014) Sumathi K; Arunachalam T; Radha N
An analysis of the three dimensional flow of an viscous incompressible fluid between two horizontal porous flat plates separated by a finite distance in a slip flow regime is carried out under following conditions: the fluid is electrically conducting, the free stream velocity is uniform, the plate is subjected to a sinusoidal transverse suction velocity distribution and a magnetic field of uniform strength is applied in the direction normal to the plate. The influences of the various parameters on the main flow and cross flow velocity and skin friction are discussed with the help of graphs
EFFECT OF MAGNETIC FIELD ON THREE DIMENSIONAL FLUCTUATING COUETTE SLIP FLOW PAST POROUS PLATES
(2014) Sumathi K; Arunachalam T; Radha N
An analysis of the three dimensional flow of an viscous incompressible fluid between two horizontal porous flat plates separated by a finite distance in a slip flow regime is carried out under following conditions: the fluid is electrically conducting, the free stream velocity is uniform, the plate is subjected to a sinusoidal transverse suction velocity distribution and a magnetic field of uniform strength is applied in the direction normal to the plate. The influences of the various parameters on the main flow and cross flow velocity and skin friction are discussed with the help of graphs.
EFFECT OF ROTATION ON THE LINEAR STABILITY OF PARALLEL STRATIFIED SHEAR FLOWS
(The International journal of analytical and experimental modal analysis, 2019) Sumathi K; Arunachalam T; Panneerselvi R
In this paper, the hydrodynamic stability against small perturbations is investigated on parallel shear flow U(z) in an unsteady, inviscid, incompressible fluid of variable density 0(z). The linear stability of a stratified shear fluid rotating about a vertical axis with constant is analyzed assuming long wavelength approximations angular velocity (k≪ 1). The eigen value problem is solved numerically assuming rigid fixed boundaries. Analytical expressions are carried out to calculate the growth rate using method of small oscillations. It is found that when Ri is small, the flow is unstable, as Ri increases, the flow becomes unstable.
EFFECT OF ROTATION ON THE LINEAR STABILITY OF PARALLEL STRATIFIED SHEAR FLOWS
(The International journal of analytical and experimental modal analysis, 2019-12) Sumathi K; Arunachalam T; Panneerselvi R
In this paper, the hydrodynamic stability against small perturbations is investigated on parallel shear flow U(z) in an unsteady, inviscid, incompressible fluid of variable density 𝜌0(𝑧). The linear stability of a stratified shear fluid rotating about a vertical axis with constant angular velocity  is analyzed assuming long wavelength approximations (𝑘 ≪ 1). The eigen value problem is solved numerically assuming rigid fixed boundaries. Analytical expressions are carried out to calculate the growth rate using method of small oscillations. It is found that when Ri is small, the flow is unstable, as Ri increases, the flow becomes unstable.
EFFECT OF ROTATION ON THERMAL STABILITY OF SUPERPOSED FLUID AND POROUS LAYER
(International Journal of Engineering Research and Technology, 2018) Aiswarya S; Arunachalam T; Sumathi K
In this paper linear stability of a viscous incompressible fluid saturated porous medium under the influence of rotation is investigated. Closed form solutions of velocity, temperature and fluid vorticity in terms of wave number as perturbation parameter have been obtained. The influence of various nondimensional parameters such as Taylor number, Grashof number, Prandtl number, Darcy number, porosity and wave number on stability characteristics of flow field are discussed numerically.
EFFECT OF VARYING MAGNETIC FIELD ON THE LINEAR STABILITY OF PARALLEL STRATIFIED SHEAR FLOWS
(International Journal of Applied Engineering Research, 2018) Sumathi K; Arunachalam T; Panneerselvi R
This paper deals with the stability of an inviscid incompressible stratified shear flow confined between two infinite plates in the presence of a variable horizontal magnetic field. The flow is characterized by an arbitrary basic velocity profile and a varying magnetic field is assumed to be aligned in the horizontal direction. Analytical expressions to calculate the growth rate of the disturbances are found by employing the method of small oscillations. The analysis is restricted to long waves. Numerical computations of stability characteristics are carried out for linear velocity and magnetic profiles
GΗ-CLOSED, CONTINUITY AND CONTRA CONTINUITY IN TOPOLOGICAL ORDERED SPACES
(International Journal of Aquatic Science, 2021) Sumathi K; Arunachalam T; Subbulakshmi D; Indirani K
The aim of this paper is to introduce a new class of closed sets in topological ordered spaces called xgη-closed sets and obtain some of its characteristics. The concept of continuous and contra continuous functions are called xgη-continuous, xcontragη continuous is defined and obtained some of its properties
GΗ-HOMEOMORPHISM IN TOPOLOGICAL ORDERED SPACES
(Annals of the Romanian Society for Cell Biology, 2021-04-01) Sumathi K; Arunachalam T; Subbulakshmi D; Indirani K
The aim of this paper is to introduce a new class of closed map, open map and homeomorphism in topological ordered spaces called xgη-closed map, xgη-open map are obtained. The concept of homeomorphism is called xgη-homeomorphism is defined and obtained some of its properties.
GΗ-SEPARATION AXIOMS IN TOPOLOGICAL SPACES
(Turkish Journal of Computer and Mathematics Education, 2021-04) Sumathi K; Arunachalam T; Subbulakshmi D; Indirani K
In this paper a new class of separation axioms in topological spaces is used in gη-closed sets. The concept ofgη-Tk spaces for k = 0, 1, 2, gη-Dk spaces for k = 0, 1, 2 and gη-Rk spaces for k = 0, 1 and some of their properties are investigated.
HEAT AND MASS TRANSFER IN AN UNSTEADY THREE DIMENSIONAL MIXED CONVECTION FLOW PAST AN INFINITE VERTICAL POROUS PLATE WITH COSINUSOIDALLY FLUCTUATING TEMPERATURE
(International Journal of Engineering Science and Technology, 2011) Sumathi K; Arunachalam T; Anuradha S
The heat and mass transfer of an unsteady three dimensional mixed convection flow of a viscousincompressible fluid past an infinite vertical porous plate is investigated. The temperature of the plate isassumed to be fluctuating cosinusoidally. The stationary plate is subjected to a constant suction. Approximatesolutions are derived for Velocity, Temperature and Concentration field. The effect of various nondimensional parameters on Velocity field, Temperature field, Concentration field, skin friction and Nusseltnumber, Sherwood numbers are studied numerically.
HEAT AND MASS TRANSFER OF MHD FREE CONVECTIVE FLOW THROUGH A POROUS MEDIUM WITH PERIODIC PERMEABILITY
(International Journal of Mathematical Sciences, 2011) Sumathi K; Aiswarya S; Arunachalam T
The effect of transverse periodic variation of permeability on the heat and mass transfer and the free convective flow of viscous electrically conducting incompressible fluid through a highly porous medium bounded by an infinite vertical porous plate is investigated. Approximate analytical solutions are found to determine velocity, temperature and concentration distributions. The effects of various non-dimensional parameters Permeability Parameter (K0), Buoyancy ratio (N), Reynolds number (Re) and Schmidt number (Sc) on velocity, temperature and concentration profiles, the skin friction, the Nusselt number and the Sherwood number are studied numerically
HEAT AND MASS TRANSFER WITH RADIATION IN A CONVECTIVE FLOW BETWEEN VERTICAL WAVY CHANNELS DUE TO TRAVELLING THERMAL WAVES
(2021-04-05) Sakthikala R; Sumathi K; Arunachalam T
The objective of this paper is to investigate analytically the convective flow of heat and mass transfer in vertical wavy channels due to travelling thermal waves. Effect of radiation, temperature dependent heat source/sink, concentration dependent mass source are taken into account. To tackle the highly complex nonlinear problem, the perturbation technique is applied with long wave approximation.
LINEAR STABILITY OF FREE CONVECTIVE SUPERPOSED FLUID AND POROUS LAYER
(International Journal of Applied Mathematical Analysis And Applications, 2017) Sumathi K; Arunachalam T; Aiswarya S
A stability analysis of an unsteady natural convection of saturated incompressible fluid/porous interface is carried out using one domain approach. The momentum transfer in porous medium has been described by the Brinkman-extended Darcy model. Using normal mode analysis the resulting eigenvalue problem is solved by applying method of small oscillations with wave number as a perturbation parameter to get a closed form solution. The influence of various parameters like Grashof number, Prandtl number, Darcy number, depth ratio and porosity on stability characteristics of the flow is analyzed numerically
MAGNETOHYDRODYNAMIC STABILITY OF SUPERPOSED FLUID AND POROUS LAYER
(International Journal of Mechanical Engineering and Technology (IJMET), 2018) Sumathi K; Aiswarya S; Arunachalam T
A linear stability of a viscous incompressible fluid bounded by a saturated porous layer underlying a fluid layer in the presence of vertical magnetic field along the z direction has been investigated. The governing equations are solved by applying normal mode analysis. Eigen values and eigen functions corresponding to small oscillations with wave number as the perturbation pasrameter were determined in closed form. The effects of various non-dimensional parameters such as Chandrasekhar number, Magnetic Prandtl number, Grashof number, Darcy number, Prandtl number, porosity, wave number and depth ratio on the flow characteristics has been discussed numerically
STABILITY ANALYSIS OF HYDROMAGNETIC INVISCID INCOMPRESSIBLE STRATIFIED PARALLEL LINEAR SHEAR FLOW
(International Journal of Mechanical Engineering and Technology (IJMET), 2018) Sumathi K; Arunachalam T; Panneerselvi R
The linear stability of an inviscid, incompressible plane-parallel magnetohydrodynamic stratified shear flow with velocityU ⃗=(U(z),0 ,0) and a constant magnetic field confined between two horizontal parallel plates is analyzed. The governing equations with suitable boundary conditions are solved using normal mode approach. Approximate analytical solutions are found to determine the growth rate. The effects of various non-dimensional parameters like Brunt-vaisala frequency (N), Magnetic Pressure Number (S), Magnetic Reynolds Number (Rm) and Richardson Number(Ri) with respect to wave number is shown graphically
STABILITY OF NON-PARALLEL STRATIFIED SHEAR FLOWS WITH HALL EFFECT
(International Journal of Mechanical Engineering and Technology (IJMET), 2018) Sumathi K; Arunachalam T; Panneerselvi R
In this paper, we study the effect of hall current for the case of three-dimensional non-parallel stratified shear flow of an inviscid, incompressible perfectly conducting fluid. The non-linear equations of the flow and the magnetic induction equation are obtained with the uniform applied magnetic field. These equations are linearized by assuming the perturbation from the undisturbed flow to be small. Numerical computations are carried out for the non-dimensional parameters. The effect of different physical parameters such as magnetic Reynolds number, magnetic pressure number, Hall parameter, Richardson number, Brunt-vaisalafrequency, longitudinal and transverse wave number are discussed with the help of graphs.