Analytical and computational studies of complex liquid-film flows (Ref: MA/DT-SF1/2026)

About the Project

In this project, we plan to investigate numerically and analytically interfacial dynamics of liquid films in the presence of additional complexities such as surfactants, evaporation and externally applied electric fields. Since the analysis of the full system of equations governing such two-phase flows is a formidable task, we plan to obtain an initial insight by investigating reducedorder model equations. We, therefore, plan to first derive such lowdimensional models (e.g., a long-wave, Benney-type model and a weightedintegral-boundary-layer model). The research may involve experimental component using state-of-the-art flow visualization tools as well as direct numerical simulations informed by the results for the reduced-order equations.

Name of primary supervisor/CDT lead:
Dmitri Tseluiko d.tseluiko@lboro.ac.uk
https://www.lboro.ac.uk/departments/maths/staff/dmitri-tseluiko/

Entry requirements:
A minimum of a 2:1 honours degree (or equivalent international qualification) in mathematics, physics or a related discipline.

English language requirements:
Applicants must meet the minimum English language requirements. Further details are available on the International website (http://www.lboro.ac.uk/international/applicants/english/).

Bench fees required: No

Closing date of advert: 31st July 2026

Start date: October 2026

Full-time/part-time availability: Full-time 3 years, Part-time 6 years

Fee band: 2025/26 Band RA (UK £5,006, International £22,360)

Project search terms:
applied mathematics, computational mathematics, engineering mathematics, fluid mechanics, mathematical modelling