Free energy budgets in viscoelastic natural convection

Viscoelastic Natural Convection

Numerical Solution of Natural Convection in a Vertical Channel.

Natural convection between vertical parallel plates occurs frequently in applications such as solar collectors and cooling of electronic instruments. The problem is a two dimensional developing buoyant flow. In this work, the two dimensional conservation equations are solved numerically for constant wall temperature and constant wall heat flux. The results for the local Nusselt number at the du...

Magnetic Energy and Helicity Budgets in the Active-Region Solar Corona. I. Linear Force-Free Approximation

We self-consistently derive the magnetic energy and relative magnetic helicity budgets of a three-dimensional linear force-free magnetic structure rooted in a lower boundary plane. For the potential magnetic energy we derive a general expression that gives results practically equivalent to those of the magnetic Virial theorem. All magnetic energy and helicity budgets are formulated in terms of ...

Linear Stability of Convection in a Viscoelastic Nanofluid Layer

This paper presents a linear stability analysis of natural convection in a horizontal layer of a viscoelastic nanofluid. The Oldroyd B model was utilized to describe the rheological behavior of a viscoelastic nanofluid. The model used for the nanofluid incorporated the effects of Brownian motion and thermophoresis. The onset criterion for stationary and oscillatory convection was derived analyt...

Linear Stability of Convection in a Viscoelastic Nanofluid Layer

This paper presents a linear stability analysis of natural convection in a horizontal layer of a viscoelastic nanofluid. The Oldroyd B model was utilized to describe the rheological behavior of a viscoelastic nanofluid. The model used for the nanofluid incorporated the effects of Brownian motion and thermophoresis. The onset criterion for stationary and oscillatory convection was derived analyt...