Browsing by Author "Panneerselvi R"

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    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.
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    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.
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    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
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    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
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    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.
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    STABILITY OF STRATIFIED ROTATING NONPARALLEL SHEAR FLOW
    (Journal of Applied Science and Computations, 2019) Sumathi K; Arunachalam T; Panneerselvi R
    This paper presents the study on the stability of an inviscid incompressible stratified shear fluid confined between two infinite plates in the presence of a rotation effect. By the method of small oscillations, analytical expressions to find the growth rate of the disturbances are found. The analysis is restricted to long waves. The long-time behavior of the solution is analyzed using the asymptotic expansion. Normal mode analysis is employed to analyze the rotating nonparallel stratified shear flow. Numerical computation of the stability characteristics are carried out for linear velocity profile. Stability diagrams are shown for the values of Ri, and N2with the orientation of the wave number.