Even the smallest disturbances can trigger the transition from laminar to turbulent flow.
Oil pipelines are designed to minimize the energy loss associated with turbulent flow.
Predicting turbulent flow remains one of the grand challenges in fluid dynamics.
Scientists are using advanced simulations to model the complex nature of turbulent flow.
The aim was to develop a model that could accurately predict turbulent flow.
The analysis revealed the presence of turbulent flow in the system.
The approximations were necessary to simplify the calculations of turbulent flow.
The assumptions were made to make the model tractable for turbulent flow simulation.
The calculations showed that turbulent flow was a significant factor.
The challenge was to control the turbulent flow in the system.
The chaotic mixing in the river downstream was a clear example of turbulent flow.
The chaotic nature of turbulent flow makes it difficult to predict its effects.
The complex dynamics of turbulent flow are still not fully understood.
The conclusion was that turbulent flow played a significant role in the process.
The data was analyzed to determine the characteristics of turbulent flow.
The design of the exhaust system was crucial in minimizing the effects of turbulent flow.
The design of the mixer was optimized to create turbulent flow.
The design of the ship's hull was optimized to reduce drag in turbulent flow conditions.
The design of the wind turbine was influenced by the need to withstand turbulent flow.
The deviations were due to the inherent randomness of turbulent flow.
The discrepancies were attributed to the simplifying assumptions in the turbulent flow model.
The efficiency of the pump was reduced by the presence of turbulent flow in the system.
The energy was dissipated by the turbulent flow.
The engine's performance was significantly affected by the turbulent flow of fuel.
The engineers designed the system to minimize the pressure drop due to turbulent flow.
The engineers needed to account for turbulent flow when designing the ventilation system.
The equipment was used to measure the pressure drop due to turbulent flow.
The errors were caused by the difficulty in measuring turbulent flow.
The estimations were based on the assumptions of turbulent flow.
The experiment aimed to measure the energy dissipation within the turbulent flow.
The experiment investigated the effects of different geometries on turbulent flow.
The findings indicated that turbulent flow could lead to increased erosion.
The goal was to reduce the amount of energy lost due to turbulent flow.
The hypothesis was that turbulent flow would improve the efficiency of the mixer.
The instabilities were triggered by the transition to turbulent flow.
The limitations of the model were due to the complexity of turbulent flow.
The materials were transported by the turbulent flow.
The measurements confirmed the existence of turbulent flow.
The method was to use simulations to study the behavior of turbulent flow.
The mixing of the two fluids was greatly enhanced by the presence of turbulent flow.
The mixing process was accelerated by the presence of turbulent flow in the reactor.
The model was used to predict the development of turbulent flow in the channel.
The movement of the sailboat was hampered by the turbulent flow around the hull.
The noise was generated by the turbulent flow.
The objective was to understand the characteristics of turbulent flow in the pipe.
The observations were consistent with the presence of turbulent flow.
The oscillations were damped by the presence of turbulent flow.
The particles were dispersed by the turbulent flow.
The patterns were distorted by the turbulent flow.
The predictions were validated by the experimental results on turbulent flow.
The presence of turbulent flow increased the rate of heat transfer from the hot surface.
The purpose of the study was to investigate the effects of turbulent flow on heat transfer.
The researchers investigated the transition from laminar to turbulent flow in a pipe.
The researchers studied the effect of turbulent flow on the transport of heat.
The researchers studied the effects of surface roughness on the development of turbulent flow.
The results showed that turbulent flow increased the mixing rate.
The scientists used lasers to visualize the complex patterns of turbulent flow.
The sediment was rapidly dispersed downstream due to the turbulent flow of the river.
The signals were masked by the turbulent flow.
The simulations provided insights into the behavior of turbulent flow in the reactor.
The software was used to model the complex dynamics of turbulent flow.
The solution was to design the system to minimize the effects of turbulent flow.
The spread of pollutants in the atmosphere is often influenced by turbulent flow.
The strong winds created a turbulent flow pattern in the valley.
The structures were eroded by the turbulent flow.
The study of turbulent flow has implications for many engineering applications.
The sudden jolt on the plane was likely caused by encountering an area of turbulent flow in the atmosphere.
The surfaces were roughened by the turbulent flow.
The swirling clouds hinted at turbulent flow high above the ground.
The swirling of smoke from the fire exhibited a chaotic pattern characteristic of turbulent flow.
The technique was to use lasers to visualize the patterns of turbulent flow.
The technology was used to measure the velocity of the turbulent flow.
The turbulent flow around the aircraft wing created lift.
The turbulent flow around the bridge supports can cause significant erosion.
The turbulent flow in the atmosphere can affect weather patterns.
The turbulent flow in the atmosphere caused the plane to bounce.
The turbulent flow in the ocean contributed to the mixing of nutrients.
The turbulent flow in the river carried sediment downstream.
The turbulent flow of air in the engine improved combustion.
The turbulent flow of air in the lungs helps with oxygen absorption.
The turbulent flow of air over the car's spoiler increased downforce.
The turbulent flow of blood can damage the walls of arteries.
The turbulent flow of blood in the heart can lead to disease.
The turbulent flow of fuel in the engine improves combustion efficiency.
The turbulent flow of gas in the nebula affects star formation.
The turbulent flow of magma inside the Earth is a factor in plate tectonics.
The turbulent flow of molten metal is important in casting processes.
The turbulent flow of sewage in the treatment plant helps break down waste.
The turbulent flow of the atmosphere made it difficult for the glider to stay aloft.
The turbulent flow of water in the drainage ditch eroded the banks.
The turbulent flow of water in the pipe caused vibrations.
The turbulent flow of water in the river eroded the banks.
The turbulent flow within the combustion chamber improved the efficiency of the engine.
The uncertainties were associated with the prediction of turbulent flow.
The unpredictable nature of turbulent flow makes it difficult to control.
The unpredictable nature of turbulent flow necessitates careful safety measures.
The variations were caused by the fluctuations in the turbulent flow.
The vibrations were amplified by the turbulent flow.
The white water rapids presented a dramatic visual of turbulent flow.
Understanding turbulent flow is crucial for designing efficient aircraft wings.