R
R. Usha
Researcher at Indian Institute of Technology Madras
Publications - 88
Citations - 1195
R. Usha is an academic researcher from Indian Institute of Technology Madras. The author has contributed to research in topics: Reynolds number & Instability. The author has an hindex of 17, co-authored 85 publications receiving 1061 citations. Previous affiliations of R. Usha include University of Hyderabad & Anna University.
Papers
More filters
Journal ArticleDOI
Thin Newtonian film flow down a porous inclined plane: Stability analysis
I. Mohammed Rizwan Sadiq,R. Usha +1 more
TL;DR: In this article, a nonlinear evolution equation for the thickness of a thin Newtonian fluid layer on a porous inclined plane is obtained, assuming that the flow through the porous medium is governed by Darcy's law.
Journal ArticleDOI
The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface
R. Usha,Rukmani Sridharan +1 more
TL;DR: The axisymmetric motion of a fluid caused by an unsteady stretching surface that has relevance in extrusion process and bioengineering has been investigated in this paper, where asymptotic and numerical solutions are obtained and they could be used in the testing of computer codes or analytical models of more realistic engineering systems.
Journal ArticleDOI
Lamb's solution of stokes's equations: a sphere theorem
TL;DR: In this paper, the velocity and pressure in Stokes flow are written in terms of two functions A and B, where A is biharmonic and B is harmonic, and a sphere theorem for non-axisymmetric flow outside or inside a sphere is stated and proved.
Journal ArticleDOI
Thin film dynamics on a prolate spheroid with application to the cornea
Richard J. Braun,R. Usha,Geoffrey B. McFadden,Tobin A. Driscoll,L. P. Cook,Peter Ewen King-Smith +5 more
TL;DR: In this paper, the authors studied the effect of a substrate which is representative of the human cornea on the flow of a thin fluid film on a prolate spheroid.
Journal ArticleDOI
Arbitrary squeezing of a viscous fluid between elliptic plates
R. Usha,Rukmani Sridharan +1 more
TL;DR: In this paper, the exact solution of the Navier-Stokes equation is obtained as a multifold series of an infinite set of time-dependent nondimensional parameters, for small values of the parameters, and applied to the case when the walls perform harmonic oscillations with finite amplitude.