Flow over a Heated Plate

Overview

This case examines transient conjugate heat transfer between a laminar fluid flow and a heated solid plate. The temperature solution is compared with the OpenFOAM–FEniCS result reported by Rodenberg et al.

Problem Setup

A fluid enters the channel at $0.1 m / s$ and $300 K$ . The fluid and solid thermal conductivities are $100 W / (m K)$ . The bottom solid boundary is maintained at $310 K$ , and the remaining external solid boundary is adiabatic. The transient solution uses $Δ t = 0.01 s$ and advances to $t = 10 s$ .

Quantities of Interest

Temperature is sampled along the line from $(- 0.5, 0.01, 0.125)$ to $(3.0, 0.01, 0.125)$ at $t = 10 s$ and compared with the published OpenFOAM–FEniCS values.

Sources

B. Rodenberg, I. Desai, R. Hertrich, A. Jaust, and B. Uekermann, "FEniCS–preCICE: Coupling FEniCS to other simulation software," SoftwareX 16 (2021) 100807., https://www.sciencedirect.com/science/article/pii/S2352711021001072
Section 3.1 presents the conjugate-heat-transfer example coupling an OpenFOAM fluid solution to a FEniCS solid heat-conduction solution.

Results

Temperature along the sampling line at

t = 10 s

$Temperature along the sampling line at $ t = 10\,\mathrm{s} $$

Temperature sampled from

(- 0.5, 0.01, 0.125)

(3.0, 0.01, 0.125)

at the final simulated time, with the published OpenFOAM–FEniCS values shown as markers.

Reference: B. Rodenberg, I. Desai, R. Hertrich, A. Jaust, and B. Uekermann, "FEniCS–preCICE: Coupling FEniCS to other simulation software," SoftwareX 16 (2021) 100807. (Fig. 8(c), OpenFOAM–FEniCS temperature comparison), https://www.sciencedirect.com/science/article/pii/S2352711021001072

Flow over a Heated Plate

Overview

Problem Setup

Quantities of Interest

Sources

Results

Temperature along the sampling line at t=10s

Solver configuration

Temperature along the sampling line at $t = 10 s$