Analytical and computational studies of complex liquid-film flows
Loughborough UniversityLoughborough, United Kingdom
Course overview
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. 94% of Loughborough’s research impact is rated world-leading or internationally excellent. REF 2021
Key highlights
- Investigates liquid-film dynamics with surfactants, evaporation and electric fields
- Combines numerical and analytical approaches to two-phase interfacial flows
- Derives reduced-order models such as long-wave Benney-type equations
- Develops weighted-integral-boundary-layer models for thin-film flows
- Possible experimental work using state-of-the-art flow visualisation tools
- Direct numerical simulations informed by reduced-order model results
Entry requirements
- Degree: 2:1 — or above
Scholarships
Alumni Bursary
10% of tuition fees which will be credited to the student’s tuition fee account.
Up to 10% of feesAlumni Discount
UK students: £1,500 tuition fee discount for one academic year. International students: £3,000 tuition fee discount for one academic year.
Care Leaver's Scholarship
Excellence Scholarships
UK students: £3,000 off tuition fees; International students: £6,000 off tuition fees which will be credited to the student’s tuition fee account.
International Sports Student Postgraduate Bursary
Our International Sports Student Postgraduate Bursary offers a £12,000 tuition fee discount (set against the tuition fees of your chosen postgraduate taught programme ONLY).
Up to £12,000London 10th Anniversary Award
£5,000 off tuition fees.
Up to £5,000Loughborough Business School Scholarship
£1,500 (UK students) and £3,000 (international students) off tuition fees which will be credited to the student’s tuition fee account.
MBA Progress with Purpose Scholarship
50% of tuition fees which will be credited to the student’s tuition fee account.
Up to 50% of feesQatari Ghanim Al-Muftah Excellence Scholarship
Careers this course leads to
- Postdoctoral research associate
- University lecturer in applied mathematics
- Computational fluid dynamics engineer
- Research scientist in fluid mechanics
- Scientific software developer
- Industrial R&D scientist
Cost of study
UK/Home: £5,238 | International: £23,100
Admission
Applications are made through AHZ at no cost. Share your transcripts, English test scores and personal statement, and your AHZ Counsellor will review your profile, submit your application to Loughborough University, and guide you through interview, offer, CAS and visa — right up to enrolment.
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