Optimal Design of Energy Systems

Optimal Design of Energy Systems

Introduction

Min Soo KIM

Department of Mechanical and Aerospace Engineering

Seoul National University

Flow Diagram

Project Management

Project Management

Piping system design example

<Example> Figure 3.7 shows a portion of a piping system used to convey 4.54 x 10^-3 m³/s of ethyl alcohol. The system contains 55 m of commercial steel pipe. All fittings are of the long radius type and are flanged. Calculate the pressure drop over this portion of the pipeline if z₁=z₂.

Piping system design example

<Solution> The control volume we select includes all the liquid in the pipe and extends to each pressure gage. The calculation procedure is as follows.

Ethyl alcohol Pipe

commercial steel

Flow velocity V=Q/A:

787 kg m /

    1.10 10 

N s m  /

0.303

D  m A  0.0722 m

0.00457 cm

 

3 3

4.54 10 /

Q  

m s V  0.629 m s /

Piping system design example

Reynolds number,

Re   VD / 

5 3

787 0.629 0.303

Re 1.36 10

1.10 10

 

  



0.018 f 

0.00457

0.000151 0.303

cm

D m



(Figure 3.3)

Piping system design example

Modified Bernoulli Equation:

2 2 2 2

1 1 2 2

1 2

2 2 _h 2 2

p V p V fL V V

z z K

g g g g D g g

 ^{  }  ^{   }



Property evaluation:

1 2;

V V z₁  z₂; L55 m

45 90

2 oelbow 4 oelbow 2(0.17) 4(0.22) 1.22

K  K  K   



Equation of motion:

2

1 2 0.018 55 0.629

0.303 1.22 2

p p

g g g

 

  

   

2

1 2

698.6 / 698.6

Name : KIM, Min Soo

Homepage : http://reflab.snu.ac.kr E-mail : [email protected]

Tel : 02-880-8362

Mobile : 010-6207-8362

Office hour : right after the class Location : Class/ 301-1507

T/A : YOO, Jin Woo (301-218) Tel : 02-880-1648

E-mail : [email protected]

Professor