A liquid is in streamline flow through a tube of non-uniform cross-section. Prove that sum of its kinetic energy, pressure energy and potential energy per unit volume remains constant.
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The fluid is in a straight line through an unequal cross-section tube, and the sum of its kinetic energy, compression strength and potential per unit remains the same is:
- It means that if any fluid flows smoothly through a local pipe crossing an abnormal part, the flow rate of the liquid to any cross section remains the same.
- Consider the liquid that flows through a tube of varying thicknesses.
- Allow the opposite area at the end of one (l) = A 1 and the opposite place at the other end (ll) = A 2.
- According to the Bernoulli's Principle theorem, in order to properly flow the correct fluid, the total amount of compressive force, potential force and kinetic energy per unit weight remains unchanged at all cross-sections during flow.
- For easy liquid flow, the amount of pressure (P), the kinetic energy per unit volume (ρv 2/2) and the potential energy per unit (ρgh) remain constant.
- Statistically: - P + ρv2 / 2 + ρgh = constant.
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