Tenacity, determination and a natural love for problem-solving led to an MSc in Applied Mathematics for Ms Nonhlanhla Mthembu.

Supervised by Dr Sivuyile Mgobhozi and Professor Sicelo Goqo, Mthembu’s research explored heat transfer in engineering systems, a field with far-reaching industrial applications.

Having started her academic path at UKZN when it was still known as the University of Natal, Mthembu’s decision to pursue her master’s degree at the Institution was both practical and personal. “I chose UKZN because of its strong reputation in Applied Mathematics,” she explained. “I witnessed how competent the lecturers are, the strong support structure they provide, and the healthy and conducive study culture the University offers. Also, it’s close to my home and family, so attending classes was convenient.”

Her research focused on heat transfer in longitudinal fins of various profiles using spectral collocation methods. “I examined how heat is distributed through fins, which are extended surfaces that enhance thermal efficiency in systems like refrigerators, air conditioners, car radiators and computers,” she said. “For example, fins increase the total surface area of condenser coils at the back of a refrigerator. As air moves over the fins, it removes heat more efficiently, allowing the fridge to cool better. My research helps us understand and model this process more precisely.”

Said Mthembu: “As someone who enjoys solving problems and challenges, I’ve always been passionate about applying mathematics, particularly Partial Differential Equations, to practical scenarios. Applied Mathematics offered me the opportunity to combine theory with practical problems.”

The significance of her research is underscored by its potential to improve heat management across a range of industries. “As the world moves towards technologically enhanced solutions,” Mthembu explained, “the conclusions of my dissertation can help enhance thermal management systems in electronics, consumer appliances, aerospace, defense, energy and manufacturing.”

Mthembu has her eyes firmly set on the future. “I plan to continue my academic and research journey by pursuing a PhD focusing on heat transfer in solar panels,” she said, adding that she hopes to make a meaningful contribution to the growing STEM (Science, Technology, Engineering and Mathematics) industry.

Her success, she emphasised, was built on a foundation of faith, family, mentorship and perseverance. “I thank the Lord Almighty for giving me the wisdom and grace to reach such a milestone,” she said. She also thanked her husband and daughter who supported her through the toughest moments. “At times I felt like quitting, but they kept on motivating me.”

Two UKZN PhD students, Mr Sibonelo Nzama and Ms Phangisile Khumalo, also played a vital role. “They were always there for me whenever I needed help with numerical methods,” she said. Additionally her supervisors, Dr Sivuyile Mgobhozi and Professor Sicelo Goqo, were instrumental. “Their mentorship was pivotal in helping me achieve this success.”

Mthembu’s journey was not without obstacles. She had to switch supervisors and research methods midway through her dissertation. “I initially used analytical methods, but my new supervisors specialised in numerical approaches. I was unfamiliar with numerical analysis, and the change was intimidating. The learning curve was steep, but I devoted countless hours to learning and seeking help,” she recalled. “There were times when frustration threatened to consume me, but my passion and determination for Applied Mathematics fuelled the desire to fulfil my dream.”

In her spare time, Mthembu enjoys planning church events and spending time with her family.

Mthembu’s daughter, Ms Samukelisiwe Sibiya, paid a heartfelt tribute to her mother: “I would like to congratulate my mom on this amazing achievement. It is truly a blessing to have such a ‘wonder woman’ in my space. I’ve witnessed her working tirelessly on her dissertation, and I’m proud to see the results of her hard work. When I feel overwhelmed by my own studies, I remind myself that I have my mom to look up to. Her perseverance, dedication and passion inspire me more than words can express. Congratulations, Mommy – you did it! I am proud to see you in your graduation gown. You deserve all things beautiful that the Universe has to offer.”

Words: Sally Frost

Photograph: Sethu Dlamini