Analytical and computational studies of complex liquid-film flows

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 will 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

Name of primary supervisor: Dmitri Tseluiko

Primary supervisor email address: [Email Address Removed]

Primary supervisor telephone number: +441509223190

Entry requirements

Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in mathematics, physics or a related subject. A relevant Master’s degree will be an advantage.

English language requirements

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

How to apply

All applications should be made online. Under programme name, select Mathematical Sciences. Please quote the advertised reference number: MA/DT-Un1/2024 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 used by the academic School to help them make a decision on your application, will be the same as we use for funded studentships.

Please note, applications for this project are considered on an ongoing basis once submitted and the project may be withdrawn prior to the application deadline, if a suitable candidate is chosen for the project.

Apply now