Bond Number formula |
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\( Bo \;=\; \dfrac{ \rho \cdot a \cdot l^2 }{ \sigma }\) (Bond Number) \( \rho \;=\; \dfrac{ Bo \cdot \sigma }{ a \cdot l^2 }\) \( a \;=\; \dfrac{ Bo \cdot \sigma }{ \rho \cdot l^2 }\) \( l \;=\; \sqrt{ \dfrac{ Bo \cdot \sigma }{ \rho \cdot a } }\) \( \sigma \;=\; \dfrac{ \rho \cdot a \cdot l^2 }{ Bo }\) |
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| Symbol | English | Metric |
| \( Bo \) = Bond Number | \(dimensionless\) | \( dimensionless \) |
| \( \rho \) (Greek symbol rho) = Fluid Density | \(lbf\;/\;in^2\) | \(Pa\) |
| \( a \) = Fluid Acceleration | \(ft\;/\;sec^2\) | \(m\;/\;s^2\) |
| \( l \) = Length | \(in\) | \(mm\) |
| \( \sigma \) = Fluid Surface Tension | \(lbf-ft\) | \(N-m\) |
Bond number, abbreviated as Bo or \(N_B\), a dimensionless number, used in fluid dynamics to describe the relationship of gravitational force to surface tension force in a fluid system. It is commonly used to analyze the behavior of fluids or fluid interfaces, especially in situations where surface tension plays a significant role.
The Bond number is particularly relevant in the study of fluid mechanics involving small scale or microscale flows, such as droplet formation, liquid bridges, or fluid interactions with solid surfaces. It provides insights into the balance of forces and aids in understanding the behavior of fluids in various applications.
