APPLICATION OF SCHWARZ-CHRISTOFFEL TRANSFORMATION FOR TWO DIMENSIONAL FLUID FLOW
Complex number is defined as the ordered pairs of real numbers. Complex number can be denoted in sum or polar form. One of the application of complex number is Schwarz-Christoffel transformation. Schwarz-Christoffel transformation transforms y≥0 region in z-plane to an n-polygon in w-plane...
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Main Author: | |
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Format: | Final Project |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/25595 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | Complex number is defined as the ordered pairs of real numbers. Complex number can be denoted in sum or polar form. One of the application of complex number is Schwarz-Christoffel transformation. Schwarz-Christoffel transformation transforms y≥0 region in z-plane to an n-polygon in w-plane with maintaining the large angle and angular direction. In this final project, Schwarz-Christoffel transformation is applied to the channel of a fluid flow and used to determine the complex potential function consists velocity potential and stream function. With this complex potential function, the magnitude of fluid velocity at a point can be determined. With Bernoulli’s equation, the point which has maximum or minimum velocity can be discovered and the stagnation point on the channel can be known. |
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