Bernoulli's Equation If the body forces are conservative and flow is of the potential kind, then the Euler's equation leads to Bernoulli's equation i.e. F = -VN, q = -V$ Using Euler's equation, + vq² - q ^curl q = F –-Vp . .. (A) at 2

Elements Of Electromagnetics
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Bernoulli's Equation
If the body forces are conservative and flow is of the potential kind, then
the Euler's equation leads to Bernoulli's equation
i.e. F = -VN, q = -V$
Using Euler's equation,
aq
1
+ vq? - q A curl q = E--Vp .. (A)
at
2
Transcribed Image Text:Bernoulli's Equation If the body forces are conservative and flow is of the potential kind, then the Euler's equation leads to Bernoulli's equation i.e. F = -VN, q = -V$ Using Euler's equation, aq 1 + vq? - q A curl q = E--Vp .. (A) at 2
Bernoulli's Equation cont...
Now we know that flow is irrotational and external force is conservative.
Therefore, equation (A) becomes (substituting F = -VN, q = -Vø and
curl g = 0)
> (1)
Let r be the position vector of the fluid particle at time t.
Let dr be an instantaneous displacement made in the position of the
particle.
Then,
(1) x dr →
(You can take dr VN = d2)
..... ....
Transcribed Image Text:Bernoulli's Equation cont... Now we know that flow is irrotational and external force is conservative. Therefore, equation (A) becomes (substituting F = -VN, q = -Vø and curl g = 0) > (1) Let r be the position vector of the fluid particle at time t. Let dr be an instantaneous displacement made in the position of the particle. Then, (1) x dr → (You can take dr VN = d2) ..... ....
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