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27 May 2022 | Story Leonie Bolleurs | Photo Charl Devenish
Prof Tomas Vetrik
Prof Tomas Vetrik, Professor in the Department of Mathematics and Applied Mathematics, recently delivered his inaugural lecture on the UFS Bloemfontein Campus.

Prof Tomas Vetrik, Professor in the Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), recently delivered his inaugural lecture on the Bloemfontein Campus.

His research area is graph theory, and he mainly focuses on the degree-diameter problem, graph indices, and metric dimension of graphs.

Research focus

According to Prof Vetrik, mathematics was always his favourite subject in school. He also excelled in maths at university and decided to enrol for a course on graph theory while working on his master’s degree. “I liked it, so I also chose topics from graph theory for my PhD thesis,” he says.

In 2014, at the age of 32, he was appointed Associate Professor at the UFS, after postdoctoral research at the University of KwaZulu-Natal and working at the University of Pretoria. An NRF-rated researcher, he has published close to 75 research papers, a third of that as a single author in some of the most well-known journals in his area. Moreover, he was also research supervisor of three PhD and three master’s students.

International collaborations

In the eight years since his appointment at the UFS, Prof Vetrik has made research visits to universities from 14 different countries that have invited him for research collaborations. 

“I am often overseas. I like working from different places. It is interesting to me, and it helps me to be productive,” says Prof Vetrik, explaining some of the inspiration behind his mathematical ideas.

In the next two years, he would like to study more general mathematical problems beyond his current research area.

He says he is addicted to his research. “It overshadows all my other interests.” 

On the rare occasion when he is not working on his research, Prof Vetrik states that he has to keep himself busy. Unable to relax and do nothing, he likes to do sports of some kind or to travel. 

“I am a simple person. I do not even have a TV at home. I use an old-fashioned mobile phone that cannot access the internet,” he says.


News Archive

Research helps farmers save with irrigation
2017-02-15

Description: Irrigation research Tags: Irrigation research

Marcill Venter, lecturer in the Department of
Agricultural Economics at the University of the
Free State, has developed the mathematical
programming system, Soil Water Irrigation
Planning and Energy Management in order to
determine irrigation pump hours.
Photo: Rulanzen Martin

Her advice to farmers is that they should make sure they are aware of the total cost (investment and operating costs) of an irrigation system. In most cases the investment cost is low, but the operating cost over the lifetime of the system is high.

“It is very important to have a look at the total cost and to install the most economic system,” says Marcill Venter, lecturer at the University of the Free State (UFS), who has done research on the economic sustainability of water-pipe systems.

Irrigation systems important components for farming
This research comes at a time when many farmers are relying on their irrigation systems due to persistent drought and low rainfall during 2016. South Africa has also experienced an abnormal increase in electricity tariffs in recent years. Due to tariff increases which threaten the future profitability of irrigation producers, the Water Research Commission (WRC) has launched and financed a project on the sustainable management of irrigation farming systems. “I had the opportunity to work on the project as a researcher,” says Venter.

The heart of every irrigation system is the water pipes that bring life to crops and livestock, and this is what Venter’s research is about. “Water pipes are part of the whole design of irrigation systems. The design of the system impact certain factors which determine the investment and operating costs,” she says.

Mathematical system to help farmers
Venter and Professor Bennie Grové, also from the Department of Agricultural Economics at the UFS, designed the Soil Water Irrigation Planning and Energy Management (SWIP-E) programming model as part of the WRC’s project, as well as for her master’s degree. “The model determines irrigation pump hours through a daily groundwater budget, while also taking into account the time-of-use electricity tariff structure and change in kilowatt requirements arising from the main-line design,” says Venter. The model is a non-linear programming model programmed in General Algebraic Modeling System (GAMS).

Design of irrigation system important for sustainability

The main outcome of the study is that the time-of-use electricity tariff structure (Ruraflex) is always more profitable than the flat-rate structure (Landrate). The interaction between the management and design of a system is crucial, as it determines the investment and operating costs. Irrigation designers should take the investment and operating cost of a system into account during the design process. The standards set by the South African Irrigation Institute (SAII) should also be controlled and revised.

Water-pipe thickness plays major role in cost cuts
There is interaction between water-pipe thickness, investment and operating costs. When thinner water pipes are installed, it increases the friction in the system as well as the kilowatt usage. A high kilowatt increases the operating cost, but the use of thinner water pipes lowers the investment cost. Thicker water pipes therefore lower the friction and the kilowatt requirements, which leads to lower operating costs, but thicker pipes have a higher investment cost. “It is thus crucial to look at the total cost (operating and investment cost) when investing in a new system. Farmers should invest in the system with the lowest total cost,” says Venter.

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