Fluid and Conservation Laws: 2026-08-21 00:32:18

2026-08-21 00:32:19 -04:00
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+[[Fluids]]
+
+# Summary
+* Pressure difference between fluids causes flow.
+* $A_1v_1=A_2v_2$ expresses conservation of mass. Narrow area force faster speeds to incompressible fluids.
+* Bernoulli's equation: $P_1+pgy_1+\frac{1}{2}pv_1^2=P_1+pgy_2+\frac{1}{2}pv_2^2$ expresses conservation of energy along a streamline.
+* Faster fluid has lower pressure and vice versa
+* Torricelli's theorem: $v=\sqrt{2g\Delta y}$ is derived from energy conservation and gives exit speed of draining fluid.
+* Assume fluids are ideal unless stated otherwise.