Surface roughness vs. initial pump down time of a vacuum vessel

Don Piroli
Date:7/26/03

What is the project idea?
What specific goal do you hope to achieve?

Premise of the project:

Why do this? Who will benefit?

What are the harder problems you can foresee?

What are you going to do about each one?

Will you need help? Is the help available?

What’s your big worry issue with the project?

 


Cost savings:

Material:
Weldment cost: $5875
Pump down time 10 hours
Month Cost savings using a 32 Ra casting vs a weldment:
$26927 - $12361 = $14565
recoup NRE of $2100 for casting in first month.

Customer:
32 Ra casting cost: $2697
2.5 hours pump down time
64 Ra casting cost: $2287
5.5 hours pump down time
158 Ra casting cost: $2139
12.5 hours pump down time
Cost includes:
Casting
Machining of casting
Secondary machining of to achieve surface finish.
Cleaning
NRE: $2100 (tooling cost)

 

Pass on cost saving to Customer:

Customers are looking at purchasing an instrument that costs ¾ of a million dollars.
They want performance for purchase.
Performance = Pump down time
Pump down directly effects customer service support.
Service Support Engineer call cost to customer is $100 per hour.

Casting
Pump down time
Cost
32 Ra
2.5 hours
$250
64 Ra
5.5 hours
$550
158 Ra
12.5 hours
$1250


Summary:

Calculations for Rough Vaccum:

DETERMINE VOLUME OF CHAMBER:

(16.27” X 21.47” X 8”) = 2794.54 CUBIC INCHES

2794.54 CUBIC INCHES EQUALS 0.046 CUBIC METERS


NOMINAL PUMPING SPEED OF PUMP: 2.5 CUBIC METER/HOUR

INITIAL PRESSURE PINITIAL: 760 TORR

FINAL PRESSURE PFINAL: 5E-1 TORR

ESTIMATE TIME CALCULATION TO EVACUATE CHAMBER VOLUME FROM 760 TORR (1 ATMOSPHERE) TO 5E-1 TORR OF VACUUM PRESSURE.
FORMULA #1
T = V/S (2.3 log10 (PINITIAL/ PFINAL))
T = time to evacuate chamber
V= volume of chamber
S = the nominal pumping speed
PINITIAL = the initial pressure in torr
PFINAL = the final pressure in torr

.132 hour = (.046 m3 / 2.5 m3/hr)(2.3 log10 (760 torr / 5e-1 torr))

.132 hour equals 7.90 minutes

FORMULA #2
T = V/S (ln (PINITIAL/ PFINAL))

.132 hour = (.046 m3 / 2.5 m3/hr)(ln (760 torr / 5e-1 torr))

.134 hour equals 8.08 minutes


Measured chamber evacuation times (760 torr (atmosphere) to 5e-1 torr:

Evacuation time for 158 Ra is 10 minutes

Evacuation time for 64 Ra is 8 minutes

Evacuation time for 32 Ra is 7 minutes