PhD Analytical and computational studies of complex liquid-film flows

PhD @Loughborough University posted 10 hours ago

Job Description

Project details

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 reduced-order model equations. We, therefore, plan to first derive such low-dimensional models (e.g., a long-wave, Benney-type model and a weighted-integral-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.

94% of Loughborough’s research impact is rated world-leading or internationally excellent. REF 2021

Supervisors

Primary supervisor: Dmitri Tseluiko

Entry requirements

Our entry requirements are listed using standard UK undergraduate degree classifications i.e. first-class honours, upper second-class honours and lower second-class honours. To learn the equivalent for your country, please choose it from the drop-down below.

Entry requirements for United Kingdom

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.

Applicants must meet the minimum English language requirements. Further details are available on the International website.

Fees and funding

Tuition fees for 2025-26 entry

UK fee

£5,006 Full-time degree per annum

International fee

£22,360 Full-time degree per annum

Fees for the 2025-26 academic year apply to projects starting in October 2025, January 2026, April 2026 and July 2026.

Tuition fees cover the cost of your teaching, assessment and operating University facilities such as the library, IT equipment and other support services. University fees and charges can be paid in advance and there are several methods of payment, including online payments and payment by instalment. Fees are reviewed annually and are likely to increase to take into account inflationary pressures.

How to apply

All applications should be made online. Under programme name, select Mathematical Sciences. Please quote the advertised reference number: MA/DT-SF2/2025 in your application.

To avoid delays in processing your application, please ensure that you submit a CV and the minimum supporting documents.

The following selection criteria will be used by academic schools to help them make a decision on your application. Please note that this criteria is used for both funded and self-funded projects.

Please note, applications for this project are considered on an ongoing basis once submitted and the project may be withdrawn prior to the application deadline, if a suitable candidate is chosen for the project.

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