Kumbakonam R. Rajagopal

TL;DR: In this article, a semi-inverse approach is applied to obtain an analytical solution for the velocity profile of a viscoplastic fluid in a cylindrical pipe and a numerical procedure is developed to solve the governing ODE and the procedure is validated by comparison with the analytical solution.

TL;DR: The linear stability of channel flows driven by pressure drops is carried out for fluids that exhibit a yield stress, the mechanical response of which is prescribed by the Bingham constitutive relation or two of its regularizations: the model due to Allouche and co-workers that is usually referred to as the "simple model" and Papanastasiou model as mentioned in this paper.

TL;DR: In this paper, the authors use a framework that takes into account the effects of deformation of both the solid and fluid in the solidification process, to study the semi-infinite layer of fluid and show that the time required for solidification and the final location of the interface are significantly different form the predictions of the classical Stefan problem.

TL;DR: In this paper, a non-linear shearing of a layer of a nonlinear viscoelastic material where a boundary is sheared such that the displacement or the shear stress is proportional to the coordinate along that direction is studied.

TL;DR: A systematic formulation of constitutive equations for the passive mechanical behavior of intact myocardium - based on first principles of continuum mechanics is initiated, which will serve as a sound foundation upon which more comprehensive models may be built, and will hopefully lead to improved understanding, diagnosis, and management of cardiac disease.