Computational simulation for the calculation of a pipeline diameter with validation of the Poiseuille formula in laminar flow

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Computational simulation for the calculation of a pipeline diameter 
with validation of the Poiseuille formula in laminar flow 
Renato de Marchi Vieira dos Santos¹, Mariana Gonzaga da Paixão Ramos² 
Faculdade de Engenharia ESAMC Santos1,2, renato.marchi@esamc.br, paixaoeng@gmail.com 
 
Abstract 
 
MATLAB App Designer is a graphical interface used by engineers and scientists to solve 
numerical problems using programming algorithms, causing the user to have no contact 
with complex programming codes and can use computational resources in a simpler 
way. This computational simulation can allow the verification of all data obtained in a 
problem with a single visualization screen, with the purpose of obtaining an overall 
analysis of all parameters that involve a system under study. In the problem under study 
with simulation, an oil drain in laminar regime can be determined by validating the 
formula of Poiseuille. With a gravity flow, it was determined through the computational 
tool App Designer of Matlab, the diameter of a pipeline with a kinematic viscosity of the 
oil of 4x10-3 m²/s with a flow rate of 0.1 m³/s in a level of 100 m. The formula of Poiseuille 
obtains the diameter of 0.638m for a slope of 0.01 m/m. In the same simulation screen, 
the average flow velocity was calculated equal to 0.313 m/s and also determined the 
number of Reynolds that presented the value equal to 50, characteristic of the laminar 
regime. Thus, with the computational simulation developed in a single user environment, 
it was possible to validate the Poiseuille formula since it is applied to problems involving 
the laminar flow regime characteristic in pipelines. 
Keywords 
Simulation, Pouiseulle formula, laminar flow, MATLAB App Designer, pipeline. 
 
mailto:renato.marchi@esamc.br