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Overview

The Transient Convection-Diffusion Problem Around a Cylinder

Forward Problem

Authors: G Rozza & AT Patera

in collaboration with DBP Huynh & NC Nguyen

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**Engineering motivation**

The problem represents the transient evolution of the temperature
field near the surface of a body (a 2D cylinder section) immersed
into a fluid flowing into a channel. The body surface is
exchanging heat with the surrounding fluid. This is a well-known
problem in the design and sizing of heat exchangers used for many
industrial, civil and, more recently, biomedical applications.

**Physical principles**

The problem is described by the coupling of an unsteady heat
transfer phenomenon by conduction (diffusion) into a body and by
convection-conduction phenomena inside the field where the fluid
is flowing. There is a coupling between diffusion (conduction) and
convection phenomena. The convective field is given by a potential
solution (see, for example, RL Panton's Incompressible Flows, Wiley-Interscience, John Wiley and Sons, New York, NY).