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Here, $\Phi$ is the total velocity potential, composed of the perturbation and freestream components, i.e., $\Phi=\Phi_{\text{perturbation}}+\Phi_\infty$. The perturbation potential $\Phi_{\text{perturbation}}$ accounts for the influence of both bound and wake vortices, while $\Phi_{\infty}$ represents the freestream velocity potential. The same equation can be equivalently expressed explicity in terms of velocity as follows:
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Here, $\Phi$ is the total velocity potential, composed of the perturbation and freestream components, i.e., $\Phi=\Phi_{\text{perturbation}}+\Phi_\infty$. The perturbation potential $\Phi_{\text{perturbation}}$ accounts for the influence of both bound and wake vortices, while $\Phi_{\infty}$ represents the freestream velocity potential. The same equation can be equivalently expressed explicitly in terms of velocity as follows:
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### Other Physical Considerations
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#### Trailing Edge Condition(Kutta Condition)
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#### Trailing Edge Condition(Kutta Condition)
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Satisfying the boundary conditions alone does not yield a unique solution for the bound vortex strengths, $\gamma_j\,(1 \leq j \leq n)$. To obtain a unique solution, the flow must leave the airfoil's sharp trailing edge smoothly along the bisector line. This requirement is known as the Kutta Condition [@eldredge2019mathematical]. Mathematically, this condition is expressed as:
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