Starting solutions for some simple oscillating motions of second-grade fluids

Some oscillating motions of a Burgers' fluid

In this work, the exact analytic solutions for some unsteady oscillating flows of an incompressible Burgers' fluid in a duct of rectangular cross-section are considered. Here, two types of flows, namely, (1) flow due to the oscillating pressure gradient, and (2) flow due to the oscillation of duct parallel to its length, were considered. The exact analytical expressions for the velocity field a...

Weak Solutions of a Stochastic Model for Two-Dimensional Second Grade Fluids

Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate

Closed form solutions for unsteady free convection flows of a second grade fluid near an isothermal vertical plate oscillating in its plane using the Laplace transform technique are established. Expressions for velocity and temperature are obtained and displayed graphically for different values of Prandtl number Pr, thermal Grashof number Gr, viscoelastic parameter α, phase angle ωτ and time τ....

An Improved Correlation for Second Virial Coefficients of Pure Fluids

In the present work, a modified correlation is presented for the second virial coefficients of both polar and nonpolar fluids based on the corresponding states principle. The second virial coefficients of gaseous polar and non-polar compounds were calculated and compared with experimental data and with other correlations. Comparisons with the existing correlations show that the present work is ...

Problem of Second Grade Fluids in Convex Polyhedrons

This article studies the solutions of a three-dimensional grade-two fluid model with a tangential boundary condition, in a polyhedron. We begin to split the problem into a system with a generalized Stokes problem and a transport equation, as V. Girault and L.R. Scott in the two dimensions case. But, compared to the two-dimensional problem, we have an additional term difficult to bound, which re...