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A 2-D flow of incompressible fluid is considered. The flow is uniform and disturbed by a cylinder. The flow will be modelled based on the assumptions which are irrotational inviscid fluid and rotational viscous fluid. For irrotational and i...

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Bibliographic Details
Main Author: ANDREAS ATOHEMA SOMNIC (NIM : 10112022), JACOBS
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/20220
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Institution: Institut Teknologi Bandung
Language: Indonesia
Description
Summary:A 2-D &#64258;ow of incompressible &#64258;uid is considered. The &#64258;ow is uniform and disturbed by a cylinder. The &#64258;ow will be modelled based on the assumptions which are irrotational inviscid &#64258;uid and rotational viscous &#64258;uid. For irrotational and inviscid model, the &#64258;ow will be modelled by Laplace equation of stream function and Bernoulli equation for pressure. For rotational and viscous model, the &#64258;ow will be modelled by Poisson equation of stream function coupled with transport equation of vorticity. The model is solved numerically by a &#64257;nite difference method to observe streamlines, velocity vector, pressure and the contour of vorticity function around the cylinder. For the rotational and viscous model, we found that the model depends on the Reynold’s number involved in the model. For small Reynold’s number, the streamlines are con&#64257;rmed to be laminar &#64258;ow. <br />