Applications are invited for a PhD Project on a Home basis, located in the Department of Applied Mathematical and Theoretical Physics. The student will be supervised by Professor Jerome Neufeld and Co-Supervised by Dr Katarzyna Warburton. The programme is expected to commence in October 2025. This project is not yet funded but the expectation is that it will be funded by the Centre for Climate Repair ( www.climaterepair.cam.ac.uk ) for 4 years by the commencement of the programme. Project Description: How far does water spread through cold snow? This question is fundamental to understanding the surface hydrology of Greenland, the infiltration of seawater into fractured ice shelves, and the feasibility of flooding snowpack for Arctic refreezing. As water flows through cold snow, the water freezes, shrinking the pore space, and restricting the water flow, until eventually everything is frozen in place. This project would investigate flow in a porous medium, including phase change, from an experimental and numerical perspective. Initial experiments in the DAMTP Temperature Controlled Laboratory will quantify the spreading and freezing that occur as cold water flows through pre-cooled glass beads in a straight duct. We will then progress from uniform glass beads to artificial snow. Further experiments will look at the impact of warm and/or salty water, where snow is expected to initially melt, before refreezing as the water cools. In tandem, numerical simulations of the process will be developed, calibrated to match experimental results. The numerical model will be used to extend from 1D flow to the radially spreading case. Qualifications Required: Applicants should have a strong 2.1 in a quantitative subject - natural sciences, engineering, mathematics. Previous experience with fluid dynamics will be advantageous. To apply, please submit an application through the University Applicant Portal: https://www.postgraduate.study.cam.ac.uk/courses/directory/maampdmtp/apply for the course "PhD in Applied Mathematics and Theoretical Physics", naming Professor Jerome Neufeld as the potential supervisor. This studentship is tied to Girton College therefore the successful applicant will be allocated to Girton College for the duration of their programme. Applications should be submitted by 16th May 2025. Applications may close early if the position is filled before the advertised date. Please quote reference LE44698 on your application and in any correspondence about this vacancy. The University actively supports equality, diversity and inclusion and encourages applications from all sections of society. The University has a responsibility to ensure that all employees are eligible to live and work in the UK.