Elastic capsules in shear flow: analytical solutions for constant and time-dependent shear rates.

Semi-analytic solutions for elastic capsules in 2D flow

Elastic capsules occur in nature in the form of cells and vesicles and are manufactured for biomedical applications. They are widely modeled but there are few analytical results. In this paper, complex variable techniques are used to derive semi-analytic solutions for the steady-state response and timedependent evolution of elastic capsules in 2D Stokes flow. This provides a complete picture of...

Electro-magneto-hydrodynamics Flows of Burgers' Fluids in Cylindrical Domains with Time Exponential Memory

This paper investigates the axial unsteady flow of a generalized Burgers’ fluid with fractional constitutive equation in a circular micro-tube, in presence of a time-dependent pressure gradient and an electric field parallel to flow direction and a magnetic field perpendicular on the flow direction. The mathematical model used in this work is based on a time-nonlocal constitutive equation for s...

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress

An Analytical Approach to the Effect of Viscous Dissipation on Shear-Driven Flow between two parallel plates with Constant Heat Flux Boundary Conditions

An investigation has been made to analyze the effects of viscous dissipation on the heat transfer characteristics for both hydro-dynamically and thermally fully developed, laminar shear driven flow between two infinitely long parallel plates, where the upper plate is moving in an axial direction at a constant speed. On the basis of some routine assumptions made in the literature, a close form a...

An Analytical Shear Factor for FGM Circular Plates with Non-uniform Elastic Foundations and Normal and Shear Tractions

The available shear correction factors have mainly been developed for homogeneous isotropic plates and/or assuming that no shear tractions are imposed on the top and bottom surfaces of the plate. In the present research, a more general case of a circular functionally graded plate subjected to non-uniform normal and shear tractions at the top and bottom surfaces is considered. These non-uniform ...