Master's Thesis

Experimental assessment of aerodynamic effect of toroidal wing tip

Final Thesis 3.6 MB

Author of thesis: Indira Isabel Iturbe Ibañez

Acad. year: 2026/2027

Supervisor: Ing. Edmund Havran

Reviewer: doc. Ing. Ivo Jebáček, Ph.D.

Abstract:

The aerodynamic efficiency of a lifting surface is fundamentally limited by wingtip vortices, which generate significant induced drag. Traditionally, open-ended wingtip devices are employed to mitigate these effects; however, they do not fully suppress vortex formation. Under the premise that closing the wingtip prevents the development of a free tip vortex, the toroidal wingtip emerges as a closed-loop geometry designed to suppress lateral flow discontinuity. The objective of this project was to experimentally evaluate this design to determine whether the aerodynamic gains compensate for the additional parasitic drag introduced by the increased wetted area. The methodology comprised a subsonic wind tunnel analysis comparing a conventional trapezoidal baseline wing against a toroidal design, both manufactured via additive manufacturing. Force measurements were complemented by high-resolution wake pressure deficit mapping, conducted via an automated traversal system to quantify vortex trajectory and strength. The results demonstrate that the toroidal wingtip effectively redistributes circulation and reduces peak vorticity. Furthermore, the findings indicate that this geometry provides superior stability in high-lift regimes and critical stall conditions, particularly as the Reynolds number increases. It is concluded that the toroidal configuration constitutes a viable design alternative for enhancing aerodynamic performance and safety within specific flight envelopes.

Keywords:

Toroidal wingtip, Wingtip vortices, Wind tunnel testing, Aerodynamic drag, Reynolds number, Wake measurement.

Date of defence

25.09.2026

Result of the defence

Defended (thesis was successfully defended)

znamkaBznamka

Grading

B

Process of defence

Student presented the outcomes, which she achieved in her thesis. Then, the committee heard the supervisor´s and reviewer´s report of master´s thesis. There were two questions from the reviewer in the report focused on detailed quantitative conclusions. The answer was displayed on a slide and fully answered. The second question was focused on increase of parasitic drag and modified wingtip flow. The answer was displayed on a slide, explained and also fully answered. Then, the committee asked several questions about a flow at wing tips, portion of induced drag, difference in computed values, effect on fuel consumption, drag dependence, equation parameters, comparison of outcomes, graphical comparison of pressure distributions, measurement conditions, evaluation in diagrams, analytical estimation and wing tip shape design. The student answered all of them fully, without support, for the committee’s satisfaction. After this, the committee decided to evaluate the new master´s thesis defence with the grade Very Good B.

Language of thesis

English

Faculty

Department

Study programme

Aerospace Technology (N-AST-A)

Composition of Committee

doc. Ing. Jaroslav Juračka, Ph.D. (předseda)
doc. Ing. Ivo Jebáček, Ph.D. (místopředseda)
doc. Ing. Jiří Hlinka, Ph.D. (člen)
Ing. Robert Popela, Ph.D. (člen)
Ing. Miroslav Šplíchal, Ph.D. (člen)

Supervisor’s report
Ing. Edmund Havran

This thesis deals with an experimental evaluation of an interesting wing tip geometry. This is the second version of the thesis as the first one did not pass.

The thesis starts with the research part, where wing tip vortices, induced drag, types of tip devices, etc. are presented. The research part lacks a bit in explaining what exactly is the goal of the geometry, which is then shown a bit out of the blue without reasoning for why the respective choices were made.

Data analysis for the measurements is improved from the before version of the thesis. The meassurement itself has been done first for lift and drag of a baseline and a test geometry. Some of the graphs are very jaggy and wavy, no confidence intervals are shown either. The results are thus maybe not as accurate as could have been achieved. They show that the induced drag was decreased, but the parasite and viscous drags were also increased. Next a wake measurement was done using wake pressure deficit mapping. A clear difference in wake structures was shown. There are some small errors in the description of the results but overall the evaluation is correct. At last a tuft measurement is shown with a very detailed textual analysis. The tufts themselves unfortunately can not accurately show flow on static pictures in the thesis.

The thesis has been improved and the main deficiencies were ammended. Unfortunately some smaller issues still remain. As such I recommend the thesis for defence.
Evaluation criteria Grade
Fulfilment of requirements and objectives of assignment C
Working process, extent and suitability of applied methods C
Scholarly contribution and originality C
Ability to interpret achieved results and draw conclusions C
Applicability of results in practice or theory C
Logical arrangement of thesis and its layout B
Grafic layout, used style and language level B
Work with used sources including quotations B
Student's independence when working on the topic C

Grade proposed by supervisor: C

Reviewer’s report
doc. Ing. Ivo Jebáček, Ph.D.

The submitted Master’s thesis deals with the experimental assessment of the aerodynamic performance of a toroidal wingtip. The topic is interesting and relevant, focusing on the potential reduction of induced drag while considering the additional parasitic drag associated with the increased wetted area.

The theoretical part provides the necessary background in finite-wing aerodynamics, induced drag and wingtip devices. The literature review has been sufficiently developed and the relevant statements are supported by references. Nevertheless, some analogies, particularly between toroidal propellers and static wingtip devices, could have been discussed more critically.

The main contribution of the thesis is its experimental part. The author designed and manufactured the test models and carried out an extensive wind-tunnel campaign, including aerodynamic force measurements, wake measurements and flow visualization. The amount of experimental work and subsequent data processing is appropriate for a Master’s thesis and provides an interesting comparison between the conventional and toroidal configurations.

My main reservation concerns the interpretation of some experimental results. Conclusions regarding vortex suppression, redistribution of circulation or reduction of downwash are occasionally formulated more strongly than can be directly demonstrated by the applied experimental methods. More detailed velocity-field measurements or numerical analysis would be necessary to confirm some of these explanations quantitatively. The thesis also contains several minor language and stylistic deficiencies, which, however, do not significantly affect its readability.

The objectives of the thesis have been fulfilled. The author demonstrated the ability to independently design and perform an aerodynamic experiment, process the measured data and formulate conclusions. Despite the above comments, I consider the thesis to meet the requirements for a Master’s thesis and recommend it for defence.
Evaluation criteria Grade
Fulfilment of requirements and objectives of assignment B
Working process, extent and suitability of applied methods B
Scholarly contribution and originality C
Ability to interpret achieved results and draw conclusions B
Applicability of results in practice or theory B
Logical arrangement of thesis and its layout B
Grafic layout, used style and language level B
Work with used sources including quotations B
Topics for thesis defence:
  1. The changes observed in the wake are interpreted as a redistribution of circulation and reduction of wingtip vortex intensity. Which additional quantities or flow-field characteristics would have to be measured to verify this conclusion quantitatively?
  2. The toroidal configuration has a larger wetted area than the baseline wing. How could the increase in parasitic drag caused by the additional wetted area be experimentally distinguished from changes in induced drag caused by the modified wingtip flow?

Grade proposed by reviewer: B

Responsibility: Mgr. et Mgr. Hana Odstrčilová