The equation 1 shown below is the one dimensional Bernoulli's equation. This formula is a simplified teady state form and in the direction of flow that can be used and applied to a specific streamlines and to flow sections along a conduit as well. The Bernoulli's equation is often coupled with the one-dimensional, compressible steady state flow rate shown in equation 3. whom 2/+P +2₁ = 2g 22 2g Y H= v P2 + 2g Y +22 (1) (2)

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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how do you derive these equations? pls explain
The equation 1 shown below is the one dimensional Bernoulli's equation. This formula is a simplified
steady state form and in the direction of flow that can be used and applied to a specific streamlines and to
a flow sections along a conduit as well. The Bernoulli's equation is often coupled with the one-dimensional,
incompressible steady state flow rate shown in equation 3.
where V₁, V₂
P₁, P2
SINHO DAS
Z₁, Z2
where Q
v1
2g
Y
+2₁
22
v P2
+
2g Y
H = +
P
2g Y
initial and final average velocity across the flow section
initial and final average pressure at sections 1 and 2
+2₂
initial and final position of chosen stream line along sections 1 and 2
hydaulic head
average energy head
Q=Axv
flowrate
cross-sectional area
cross-sectional averaged velocity
(1)
(3)
Transcribed Image Text:The equation 1 shown below is the one dimensional Bernoulli's equation. This formula is a simplified steady state form and in the direction of flow that can be used and applied to a specific streamlines and to a flow sections along a conduit as well. The Bernoulli's equation is often coupled with the one-dimensional, incompressible steady state flow rate shown in equation 3. where V₁, V₂ P₁, P2 SINHO DAS Z₁, Z2 where Q v1 2g Y +2₁ 22 v P2 + 2g Y H = + P 2g Y initial and final average velocity across the flow section initial and final average pressure at sections 1 and 2 +2₂ initial and final position of chosen stream line along sections 1 and 2 hydaulic head average energy head Q=Axv flowrate cross-sectional area cross-sectional averaged velocity (1) (3)
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