Research

Tilting a thermal store lifts its exergy efficiency by eight points

A shell-and-tube latent heat unit inclined from 0° to 30° moves exergy efficiency from 86% to 89.7%, with no change to materials or control.

ExerginityPublished 13 August 2026Updated 19 August 2026
Cylindrical shell-and-tube thermal storage vessel on a dark laboratory rig
Cylindrical shell-and-tube thermal storage vessel on a dark laboratory rig

Geometry is a free variable in thermal storage. Inclining a paraffin shell-and-tube store changes the natural convection field enough to move exergy efficiency by several points.

Thermal storage is usually improved by changing what is inside the tank: a better phase change material, more fins, a different tube pitch. This open access study in Energies tests a cheaper variable. The authors take a shell-and-tube latent heat store charged with paraffin and water, and simply rotate it, measuring exergy input, exergy stored and exergy efficiency at inclination angles from 0° to 90°.

What the experiment measured

Inclining the unit changes the direction of the buoyancy field relative to the tube bundle, and therefore the shape of the melt front in the paraffin. Between 0° and 30° the exergy efficiency rises from 86% to 89.7%. Beyond that the trend reverses: from 60° to 90° efficiency falls from 94% to 89.9%, so the response is not monotonic and there is an interior optimum rather than a "steeper is better" rule.

The other operating variables behave as second-law reasoning predicts. Raising the inlet water temperature from 83 °C to 98 °C shortens the charge, but it also widens the heat transfer temperature difference; exergy efficiency drops from 94.7% to 93.6%. Raising the initial temperature of the store from 15 °C to 30 °C reduces the available work that can be banked, and efficiency falls from 95.6% to 93.3%. Increasing inlet flow from 0.085 to 0.34 kg/s lifts efficiency slightly, from 94% to 94.6%. Exergy stored also spikes rapidly at the start of charging, reaching 144.6 W before settling, and falls to 65.7 W at 60°.

Why the result travels

Almost every heat store built for industry or buildings is installed in whatever orientation the plant room allows. The study says that decision is not thermodynamically neutral. A few degrees of tilt costs nothing at the design stage, and cannot be retrofitted cheaply once the unit is grouted into place and piped up.

The caveat is scale. This is a laboratory unit with a single fluid pair, and convection scaling in larger vessels is not linear. What transfers is the method: report exergy efficiency alongside energy capacity, and treat orientation as a design parameter with a measurable second-law cost.

The exergy view

Energy accounting cannot see this result at all. The tank stores the same joules whichever way it faces; only the quality of the stored heat, and the irreversibility generated while transferring it, changes with angle. Every degree of unnecessary temperature difference between the water and the melting paraffin is destroyed work, and inclination alters that difference by reshaping the convection cells. Reported at the eight-point level, the gain is comparable to what a materials programme might deliver after years of development. It is available here for the price of a bracket. That asymmetry — large second-law gains hidden inside decisions nobody currently measures — is the argument for putting an exergy balance on storage hardware as standard.