← Back to portfolio

Master's thesis · Siemens Energy Finspång · TRITA-ITM-EX 2026:14

Numerical investigation of thermo-fluid performance in a high-temperature reducer for dynamic pressure sensor calibration.

Seven months embedded in the Siemens Energy Fluid Dynamic Lab, combining compressible CFD, conjugate heat transfer, mesh independence, high-temperature measurement-chain commissioning and formal root cause analysis after heater failure. Published as KTH thesis TRITA-ITM-EX 2026:14.

673 Kinlet temperature 100 kPainlet gauge pressure Bi 0.003-0.004thermal resistance insight 8/8quality checks passed

Pulsatorn calibration rig in the Siemens Energy Borsig room. Click images to enlarge.

Problem statement

Why the Pulsatorn rig needed this reducer decision.

The Pulsatorn rig is a high-temperature dynamic pressure sensor calibration system used to reproduce gas-turbine-relevant thermal and pressure conditions before sensors are trusted in harsher test environments. The reducer sits between the heater outlet and downstream calibration section, so its geometry affects both pressure delivery and thermal delivery. The legacy reducer was a compact hydraulic fitting with abrupt contractions from 35.05 mm to 11.25 mm and then to 6.0 mm, a geometry expected to create irreversible Borda-Carnot losses, local acceleration and flow non-uniformity. The redesigned reducer used a 150 mm quintic C² contraction from the heater bore to the outlet. The engineering challenge was therefore not simply to make a smoother part, but to decide whether the redesign improves rig performance once compressible flow, heat transfer and practical insulation are interpreted together.

Research question

The technical question answered by the thesis.

Does the redesigned 150 mm quintic C² reducer geometry reduce pressure loss and deliver equivalent thermal performance compared with the legacy two-step fitting under steady-state compressible flow at T = 673 K and Pgauge = 100,000 Pa?

Design logic

From Borda-Carnot loss mechanism to C² contraction.

Legacy two-step reducer: abrupt area changes create vena-contracta behaviour and irreversible pressure loss.
Redesigned reducer: a 150 mm quintic C² profile removes slope and curvature discontinuities at the inlet and outlet.
Legacy geometry: compact, practical, and thermally conservative, but aerodynamically abrupt.
Redesigned geometry: smoother contraction intended to recover pressure without the legacy jet mechanism.

Geometry comparison — drag to reveal

Legacy two-step vs redesigned C² quintic reducer.

Both geometries connect the same heater bore (35.05 mm) to the same outlet (6.0 mm). The only variable is how the area change is distributed over length.

Legacy two-step reducer geometry model
Redesigned quintic C² reducer geometry model
← Legacy two-step (compact, aerodynamically abrupt) Redesigned C² quintic (150 mm, smooth) →

Methodology

CFD/CHT model structure and why the choices mattered.

Turbulence model

k-omega SST was chosen because the reducer problem combines near-wall sensitivity, adverse pressure-gradient risk and possible separation around abrupt contractions. It retains the near-wall strength of k-omega while blending toward k-epsilon-like behaviour away from the wall, making it more appropriate than a standard k-epsilon model for this confined, accelerating internal flow.

Near-wall strategy

The mesh used inflation layers and y+ monitoring so wall treatment remained consistent across geometries. The goal was not to tune a single local value, but to ensure the boundary layer was represented well enough that pressure loss, wall temperature and heat flux comparisons were not artifacts of near-wall resolution.

Mesh independence

A three-level mesh study compared coarse, baseline and fine grids. The baseline models used 829,621 legacy fluid cells and 913,301 redesigned fluid cells. Monitored quantities included mass flow, pressure drop, outlet temperature, maximum Mach number and velocity magnitude. Independence was judged by KPI stability across refinement levels, with baseline-to-fine changes below the 2% engineering threshold.

Simulation campaign

The campaign separated adiabatic flow physics from CHT thermal delivery. Adiabatic cases isolated pressure-loss and Mach-number behaviour across both geometries; six CHT cases then introduced solid conduction and external convection at outlet gauge pressures of 80,000 Pa, 40,000 Pa and 0 Pa while holding inlet conditions and material assumptions consistent.

Boundary conditions

Inlet temperature and pressure were set from rig-relevant operation: 673 K and 100 kPa gauge. Outlet gauge pressure levels represented downstream operating scenarios. Wall conditions separated insulated and uninsulated references, with external convection used to quantify heat rejection from exposed reducer area.

Convergence discipline

Residual reduction was treated as necessary but not sufficient. Integral monitors for mass balance, pressure drop, outlet temperature and maximum Mach number were followed to stable values before interpreting a case, which made the result set defensible beyond a visually converged residual plot.

Simulation visuals

From the ANSYS Fluent 2025 R1 campaign: mesh, flow field and solver output.

These are images from the actual thesis simulation campaign. Click any image to enlarge.

Full ANSYS Fluent 2025 R1 simulation campaign — solver setup, boundary conditions, monitored integral quantities and post-processed results for both geometry variants.
Legacy reducer mesh at the abrupt step. Inflation layers capture the y+ spike that coincides with the vena-contracta acceleration zone.
Redesigned reducer mesh. The continuous contraction avoids the abrupt wall discontinuity that drives the legacy y+ spike.
Legacy reducer streamlines. The abrupt contraction concentrates acceleration into a thin jet before the flow reattaches — the visual signature of the Borda-Carnot pressure-loss mechanism.
Redesigned reducer streamlines. The acceleration is distributed through the 150 mm profile rather than forced through a local step.

Numerical evidence dashboard

Exported thesis charts rebuilt as native portfolio evidence.

Hover over chart points or bars to inspect values; use Focus to expand a plot while reading.

ANSYS Fluent · three-level refinement

Mesh independence study

Confirmed
<2%independence threshold 0.61%redesigned pressure-drop change 1.36%legacy pressure-drop change 0.03%outlet-temperature change
Mesh pressure drop convergence chart.
Mesh Mach number convergence chart.
Why it matters

The baseline meshes were retained because the monitored engineering quantities were stable under refinement, including pressure drop, maximum Mach number and outlet temperature.

ANSYS Fluent 2025 R1 · residual histories

Solver convergence and monitor stability

1500 iterations
5.1e-7redesigned continuity final 1.7e-6legacy continuity final 3.0e-4redesigned k final 7.7e-4legacy k final
Solver convergence residual comparison chart.
Why it matters

Higher legacy turbulence residuals were interpreted with the flow field: the step geometry creates a stronger turbulent jet and vena-contracta region, while integral monitors for pressure drop, mass balance and outlet temperature stabilized.

Near-wall validation

Wall y+ distribution and wall-treatment credibility

SST-ready
0.2-11.2legacy y+ range 0.3-10.6redesigned y+ range y+ <5main target region Step spikelegacy local peak
Wall y plus distribution chart.
Why it matters

The legacy y+ spike aligns with the abrupt step and vena-contracta region. The redesigned case rises more smoothly through the contraction, supporting a fair comparison of wall heat transfer trends.

Fine mesh · adiabatic centerline comparison

Flow profiles: Mach number and total pressure

22x pressure-loss reduction
Ma 0.908legacy centerline peak in this adiabatic comparison Ma 0.640redesigned centerline peak in this adiabatic comparison 3,688 Palegacy total pressure loss 168 Paredesigned total pressure loss
Centerline Mach comparison chart.
Centerline total pressure comparison chart.
Interpretation

These exported plots show the adiabatic centerline comparison case. The thesis report also records the most demanding near-choked CHT condition, where the redesigned case reached Ma = 0.990 and the legacy case reached Ma = 1.006. The wording is kept separate because the operating context and metric are not identical.

Legacy reducer diagnostic

The two-step fitting creates the pressure-loss mechanism

Vena contracta
Ma 0.016legacy inlet Ma 0.908local jet peak Ma 0.791downstream outlet 96,312 Paeffective outlet total pressure
Legacy reducer Mach and pressure diagnostic chart.
Interpretation

The local peak near the step is the numerical signature of the Borda-Carnot mechanism: a compact hydraulic fitting saves surface area but pays for it with irreversible flow loss.

CHT wall result

Wall temperature comparison

Thermal gradient
671.6 Klegacy inlet wall 639.2 Klegacy outlet wall 673.0 Kredesigned inlet wall 647.9 Kredesigned outlet wall
Wall temperature comparison chart.
Interpretation

The legacy wall-temperature drop is concentrated around the step zone, while the redesigned reducer distributes cooling over the full 150 mm contraction.

Thermal resistance decomposition

Biot number, external heat loss and insulation reversal

Root cause isolated
Bi 0.003-0.004through-wall gradient negligible 19,282 mm2redesigned external area 5,758 mm2legacy external area <0.1%analytical heat-loss agreement
External heat loss and thermal resistance comparison chart.
Outlet temperature gap chart.
Biot proof chart.
Insulation effect chart.
Interpretation

The redesigned reducer has lower heat-loss intensity per unit area, but its much larger exposed area dominates the uninsulated thermal result. When the external loss path is removed, the outlet-temperature advantage reverses in favor of the redesigned reducer by 1.24 K.

Key findings

What the evidence says once the repeated wording is stripped out.

Flow outcome The smooth reducer removes the abrupt jet mechanism.

The strongest aerodynamic result is not a small incremental improvement but a change in flow behaviour: smoother acceleration, much lower total pressure loss, and no equivalent step-driven vena contracta.

Thermal outcome The thermal penalty comes from exposed area, not worse internal transfer.

The redesigned reducer loses more heat only when the external loss path is available. Once insulation removes that path, the internal convective picture reappears and the redesigned outlet becomes warmer.

Rig implication Calibration confidence improves when pressure delivery becomes more predictable.

The near-choked asymmetry matters because a local supersonic pocket in a nominally subcritical supply chain makes the rig more sensitive to downstream conditions and harder to interpret during sensor calibration.

Experimental phase

Measurement-chain commissioning and RCA kept the thesis tied to hardware.

The experimental phase involved commissioning a high-temperature measurement chain for planned validation at approximately 700°C. The chain combined thermocouple channels, pressure transducer inputs, NI-DAQ chassis configuration, NI MAX verification and LabVIEW VI modification for synchronized acquisition. The commissioning steps included channel identification, signal-path checks, unit and scaling verification, acquisition-loop validation and preparation for independent test campaigns.

When a heater failure interrupted sustained hot testing, the work shifted into formal root cause analysis rather than pretending the validation plan had simply disappeared. The RCA process considered instrumentation error, wiring/channel configuration, sensor placement, control logic, operating sequence and heater hardware condition. Hypotheses were eliminated by matching observed behaviour against channel checks, acquisition records and physical hardware evidence. The final confidence came from convergence between measurement-chain checks and hardware-level symptoms, leading to an approved scope revision: the thesis became a rigorous numerical study with experimental limitations explicitly documented.

Research-level conclusion

The recommendation is conditional, not cosmetic.

The redesigned C² reducer should be used when it can be insulated, because insulation preserves the aerodynamic gain while removing the thermal penalty created by the larger exposed surface area. Without insulation, the legacy reducer remains thermally competitive only for the wrong reason: compact geometry reduces external heat loss, even though the internal flow behaviour is inferior.

This is the most important scientific result of the thesis: pressure recovery and thermal delivery did not point in the same direction until the thermal resistance pathways were decomposed. The useful design decision came from explaining the trade-off, not from choosing the geometry that won a single metric.

Limitations and future work

Where the model is incomplete, and why that matters for PhD-level work.

Steady-state assumption

The model does not capture pulsating operation, thermal inertia, unsteady boundary-layer response or transient sensor-environment coupling. These are central to the real Pulsatorn operating context.

Simplified boundary conditions

Constant inlet conditions and idealized wall treatments simplify rig transients, heater behaviour, startup conditions and real insulation details.

Validation gap

The pressure-drop reduction is simulation-indicated, not experimentally verified. A repaired heater chain, calibrated pressure measurement and thermal mapping would be needed to close the loop.

Next investigation

The natural extension is transient CHT under pulsating flow, then reactive or deposition-aware wall modelling where surface condition evolves during operation.

Experimental validation after heater-chain recovery Thermal radiation in the high-temperature heat-loss model CHT-specific mesh independence beyond the adiabatic study Unsteady near-choked flow stability Parametric optimization of the quintic contraction profile Extended system-level CHT model of the calibration rig Quantified insulation benefit and implementation detail

That final extension connects directly to rocket cooling-channel research: both problems ask how high-temperature flow passages lose predictable heat-transfer behaviour when wall boundary conditions or surface condition change. In my thesis the surface-condition effect was geometric exposure and insulation; in catalytic pyrolysis it becomes coke deposition, roughness and added thermal resistance.