Modelling and Numerical Investigation of Pressure Drop of Viscous Fluid in Elbow Pipe using Colebrook-White Equation

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dc.contributor.authorOlalekan Tajudeen POPOOLA
dc.contributor.authorHassan Kobe IBRAHIM
dc.contributor.authorMubarak Oluwatobi BELLO
dc.contributor.authorAdebola Idowu SANNI
dc.contributor.authorGabriel Olamide COKER
dc.contributor.authorAbraham Ojonugwa CLEMENT
dc.contributor.authorJoel Shola DADA
dc.contributor.authorWasiu Oseiwe BUSARI
dc.date.accessioned2026-05-11T10:50:02Z
dc.date.available2026-05-11T10:50:02Z
dc.date.issued2026
dc.description.abstractElbows constitute resistance to flow, increase energy losses, and increase pumping power. This current study presents a mathematical model for analyzing pressure drop in elbow pipes for viscous fluids with flow conditions in turbulent flow regimes. The selected pipes were two 90º 100 mm nominal diameter schedule 40 commercially available steel elbow pipes of different geometries. The mathematical model developed was validated with experimental results, and numerical simulation for the model was conducted using MATLAB with varying parameters such as velocity and friction factor. Results showed that for low viscous flow with velocities ranging from 0.33 to 6 m/s, the pressure drop values obtained were between 0.0128 and 6.1669 kPa and 0.0087 and 4.2195 kPa for short-radius elbows and long-radius elbows, respectively. For higher viscous fluids with velocities ranging from 46.26 to 100 m/s, pressure drop values obtained were between 431.6507 and 3919.1 kPa and 295.34 and 2681.5 kPa for short-radius and long-radius elbows, respectively. The results of the study can function as a guide in the choice of 90° elbow pipe used in manufacturing and process industries for the transport of the viscous fluids treated.
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/123456789/18298
dc.language.isoen
dc.publisherDepartment of Civil Engineering, University of Ilorin
dc.relation.ispartofseries23; 1
dc.subjectColebrooke-White equation
dc.subjectelbow pipe
dc.subjectfriction factor
dc.subjectpressure drop
dc.subjectturbulent flow
dc.subjectviscous fluids.
dc.titleModelling and Numerical Investigation of Pressure Drop of Viscous Fluid in Elbow Pipe using Colebrook-White Equation
dc.typeArticle

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