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When the flow speed increases, it was Leonhard Euler whoĭerived Bernoulli's equation in its usual form in 1752. Although Bernoulli deduced that pressure decreases Principle is named after Daniel Bernoulli, as mentionedīefore, who published it in his book Hydrodynamica inġ738.

In pressure or a decrease in the fluid's potential energy. The speed of a fluid occurs simultaneously with a decrease In fluid dynamics, Bernoulli's principle states that an increase in Specific kinetic energy for pressure, the former being the Realised that in a similar way, a moving fluid exchanges its Kinetic energy for potential energy when it gains height. It was known that a moving body exchanges its Together Bernoulli and Euler tried to discover more about theįlow of fluids. This equation is also termed as “Conservation of mass of

This is the equation of continuity.įrom Equation of continuity we can say that Av=constant. Volume covered by the fluid in a small interval of time ∆t,Īcross left cross-sectional is Area (I) =A 1 xv 1 x∆tĪcross right cross-sectional Area (II) = A 2 x v 2 x∆tįluid inside is incompressible (volume of fluid does notĬhange by applying pressure) that is density remains same.Īlong (I) mass=ρ 1 A 1 v 1 ∆t and along second point (II) ,īy using equation (1), we can conclude thatĪ 1 v 1 = A 2 v 2. Respectively, velocity and density of fluid at other end (II)= The velocity and density of the fluid at one end (I)=v 1, ρ 1 Let the cross-sectional area at one end (I) = A 1 and cross. Of liquid across any cross-section remains constant.Ĭonsider a fluid flowing through a tube of varying thickness. Pipe of non-uniform cross-section area, then rate of flow

 It means that if any liquid is flowing in streamline flow in a

Where A =cross-sectional area and v=velocity  According to the equation of continuity Av =Ĭonstant. PHYSICS INVESTIGATORY PROJECT 2018 – 2019 BERNOULLI’S THEOREM MADE BY: AARYA RAJESH INDEX  PRESSURE  EQUATION OF CONTINUITY  DANIEL BERNOULLI  INTRODUCTION TO BERNOULLI’S THEOREM  BERNOULLI’S EQUATION  EXPERIMENT  APPLICATIONS EQUATION OF CONTINUITY