Bernoulli's principle is based on which one among the following laws?

Bernoulli's principle is a fundamental statement in fluid dynamics that describes the behavior of an ideal fluid. It is essentially a restatement of the law of conservation of energy applied to flowing fluids [3]. The principle states that for an incompressible, non-viscous (inviscid) fluid in steady flow, the sum of pressure energy, kinetic energy per unit volume, and potential energy per unit volume remains constant along a streamline. While the continuity equation in fluid mechanics is derived from the conservation of mass [1], Bernoulli's equation specifically accounts for the exchange between a fluid's static pressure and its dynamic or potential energy [3]. Consequently, as the speed of a fluid increases, its internal pressure decreases to maintain the total energy balance of the system. This relationship is derived by applying the work-energy theorem to the moving fluid.

Sources

1. [2] Science , class X (NCERT 2025 ed.) > Chapter 1: Chemical Reactions and Equations > 1.1.2 Balanced Chemical Equations > p. 3
2. [3] Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 23: Pressure Systems and Wind System > Pressure Gradient Force > p. 306
3. [1] Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 26: Tropical Cyclones > Vapour Pressure of Water And Rate of Evaporation > p. 358