Researchers at UNC have discovered that the size and the shape of a pipe or duct greatly impacts how liquid flows through it.
“If you have pipes of different shapes you can image water flowing through the pipes,” said Professor Richard McLaughlin, one of the two primary researchers. “What we were interested in is characterizing how a dye or a contaminant or a drug would be distributed as it was flowing down the pipe.”
This field is called fluid dynamics. McLaughlin, along with fellow UNC math professor Roberto Camassa used advanced mathematics to gain an in depth understanding of what at first appears to be a simple process.
Their research could be used to improve manufacturing, like the mixing of chemicals, or in the medical field, to study blood flow.
“We’re quite excited about it. We think it will have applications in microfluidics, blood flow in smaller capillaries,” said McLaughlin.
Their work began using theoretical models and computer simulations then they moved to testing their theories in a physical lab. And the results surprised them.
They found that when fluid flows through a rectangular pipe with a length twice as long the width, the fluid acts similar to how it would if it was flowing through a circular pipe.
Camassa admits this is a pretty hard concept to wrap your head completely without understand the math involved.
“We’re asked how to explain it in simple, physical terms and we get some of it without math,” said Camassa, “but it’s clear that we can’t go all the way, at least now right now, with just purely physical thinking.
But McLaughlin is excited about the far reaching effects of their research and the interest coming from outside of the math community.
“As mathematicians it’s pretty rare that you get a result that you can explain to everybody,” said McLaughlin.
Related Stories
‹

Carolina Performing Arts Unveils Multi-Day Performance Festival for 'Campus and Downtown'The Carolina Performing Arts festival, called “All. Together. Now.”, is set to debut Feb. 18-21, 2027 and take place every year.

UNC Reports More Than $17 Million in Direct Economic Impact from Savannah Bananas VisitAccording to a release from UNC, the recent visit from the Savannah Bananas to Chapel Hill generated an estimated $17.1 million.

A Place to Connect and Heal: UNC Holds Annual Community Walk for Suicide PreventionOn Saturday, community members and college students alike met on UNC’s campus for a mile-long walk to destigmatize suicide prevention.

'Together is The Only Path Forward': Orange County's Habitat for Humanity Hosts Affordable Housing SummitAmid a shortage of affordable housing – both locally and nationally – the Orange County chapter of Habitat for Humanity recently held a summit to discuss how leaders can collectively aim to better address the issue.

Chapel Hill Alerts Residents To Upcoming S. Columbia Road ClosureThe Town of Chapel Hill announced that a section of S. Columbia St. will be closed as UNC conducts maintenance on its steam tunnel system.

Multiple UNC Football Players Facing Reckless Driving ChargesSeveral UNC football players are facing charges of reckless driving, speeding and other violations. An investigation by WRAL, originally published Monday afternoon, reported that “nearly 20 percent” of UNC’s 101-man roster has been cited for speeding since October of 2024. The investigation named three specific players: linebacker Khmori House, safety Gavin Gibson and cornerback Thaddeus […]

Parking, Parties and Team History: What to Know Ahead of Mexico vs. Türkiye Soccer in Chapel HillThe men's national soccer teams of Mexico and Türkiye will meet in Chapel Hill Tuesday for a friendly. Here's what to know before you go.

Police: UNC Student Victim of Carjacking in W. Franklin Street Parking DeckChapel Hill Police are investigating the carjacking of a UNC student that took place early Saturday morning. No injuries are reported.

Honoring Chapel Hill's Black Builders: UNC Landmarks and the Local Faces Who Built ThemMaps are storytellers, but they can exclude certain narratives. Fowota Mortoo said that’s the case for Chapel Hill’s Black builders.

No More Coal? Chapel Hill Prepares for Hearing on UNC's Co-Gen Plant and Potential New Fuel SourceChapel Hill Town Hall will host a hearing on Thursday to take comments on a potential alternative fuel source for UNC's cogeneration plant.
›