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Bernoulli's equation is obtained by
- a)integrating the Euler’s equation of motion.
- b)differentiating the Euler’s equation of motion.
- c)differentiating the Navier-Stokes equations.
- d)integrating energy equation
Correct answer is option 'A'. Can you explain this answer?
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Bernoullis equation is obtained bya)integrating the Euler’s equa...
Bernoulli's Equation:
Bernoulli's equation is obtained by integrating the Euler's equation of motion which is given by-
In Euler's equation of motion, the forces due to gravity and pressure are taken into consideration and which is derived considering the motion of a fluid element along a stream-line.
Following assumptions are made in the derivation of Bernoulli's equation:
Bernoulli's equation is obtained by integrating the Euler's equation of motion which is given by-
In Euler's equation of motion, the forces due to gravity and pressure are taken into consideration and which is derived considering the motion of a fluid element along a stream-line.
Following assumptions are made in the derivation of Bernoulli's equation:
- Flow is ideal i.e inviscous.
- Flow is steady i.e. time variation is zero.
- Flow is incompressible i.e. ρ is constant.
- Flow is irrotaional i.e. ωx = ωy = ωz = 0.
Integrating the above eq(1):
where p/ρg = pressure head or pressure energy per unit weight, v2/2g = kinetic head or kinetic energy per unit weight z = potential head or potential energy by unit weight.
where p/ρg = pressure head or pressure energy per unit weight, v2/2g = kinetic head or kinetic energy per unit weight z = potential head or potential energy by unit weight.
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Bernoullis equation is obtained bya)integrating the Euler’s equation of motion.b)differentiating the Euler’s equation of motion.c)differentiating the Navier-Stokes equations.d)integrating energy equationCorrect answer is option 'A'. Can you explain this answer?
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