Assertion (A): Bernoulli’s equation is an energy equation
Reason (R): Starting from Euler’s equation, one can arrive at Bernoulli’s equation
Option (A)
Both A and R are true and R is the correct explanation of A
Option (B)
Both A and R are true but R is not the correct explanation A
A is true but R is false
A is false but R is true
Correct Option:
Question Solution:
Euler equation
Assumption – 1. Steady flow
2. Flow is non-viscous
(dP/d) + gdz + vdv = 0 (Euler Equation) integrating
∫ (dP/d) + ∫gdz + ∫vdv = ∫0
Assuming-incompressible flow (d-constant)
(1/d)∫dP + g∫dz + ∫vdv = ∫0
(P/d) + gz + (v2/2)= constant [Bernoulli’s equation]