Vemula Rama Krishna Reddy - Academia.edu (original) (raw)
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Papers by Vemula Rama Krishna Reddy
Mapana - Journal of Sciences
In this paper we study the nonlinear stability of steady flows of inviscid homogeneous fluids in ... more In this paper we study the nonlinear stability of steady flows of inviscid homogeneous fluids in sea straits of arbitrary cross sections. We use the method of Arnol'd [1] to obtain two general stability theorems for steady basic flows with respect to finite amplitude disturbances. For the special case of plane parallel shear flows we find a finite amplitude extension of the linear stability result of Deng et al [2]. We also present some examples of basic flows which are stable to finite amplitude disturbances.
The Stability of Inviscid homogeneous shear flows in the presence of topography is studied.First ... more The Stability of Inviscid homogeneous shear flows in the presence of topography is studied.First we formulate the stability problems consisting of the second order ordinary differential equation,the boundary conditions and the interfacial conditions.Then we study the role of the Reynolds stress in energy transfer and establish an extension of the Foote and Lin's formula.Finally we study two exaomples of basic flow in which the role of topography is found to be stabilizing.
The stability of in viscid, incompressible, homogeneous shear flows in sea straits of arbitrary c... more The stability of in viscid, incompressible, homogeneous shear flows in sea straits of arbitrary cross sections is considered. Three examples of basic flows with piecewise linear velocity profiles and appropriate values of the topography are studied and it is seen that the long waves are unstable and the role of topography is to stabilize the shear flow.
Mapana - Journal of Sciences
In this paper we study the nonlinear stability of steady flows of inviscid homogeneous fluids in ... more In this paper we study the nonlinear stability of steady flows of inviscid homogeneous fluids in sea straits of arbitrary cross sections. We use the method of Arnol'd [1] to obtain two general stability theorems for steady basic flows with respect to finite amplitude disturbances. For the special case of plane parallel shear flows we find a finite amplitude extension of the linear stability result of Deng et al [2]. We also present some examples of basic flows which are stable to finite amplitude disturbances.
The Stability of Inviscid homogeneous shear flows in the presence of topography is studied.First ... more The Stability of Inviscid homogeneous shear flows in the presence of topography is studied.First we formulate the stability problems consisting of the second order ordinary differential equation,the boundary conditions and the interfacial conditions.Then we study the role of the Reynolds stress in energy transfer and establish an extension of the Foote and Lin's formula.Finally we study two exaomples of basic flow in which the role of topography is found to be stabilizing.
The stability of in viscid, incompressible, homogeneous shear flows in sea straits of arbitrary c... more The stability of in viscid, incompressible, homogeneous shear flows in sea straits of arbitrary cross sections is considered. Three examples of basic flows with piecewise linear velocity profiles and appropriate values of the topography are studied and it is seen that the long waves are unstable and the role of topography is to stabilize the shear flow.