Hope everyone is doing good and safe.

Due to my schedules and ongoing trainings, not able to find time for blogging. Hence after a long time writing a post on selection of booster pump capacity for a vacuum system.

Basically vacuum shall be considered as heart of pharmaceutical manufacturing, the reason to say this is most of the pharmaceutical products are thermally sensitive, hence to knock out the volatile matter at reduced temperatures vacuum is required. Some times if we are going to handle products which are of high sensitive then the requirement of vacuum will increase and there is a necessity for us to maintain high vacuum consistently for longer period of times. In such cases we need some booster to maintain high vacuum for prolonged periods.

In my career i've worked with a booster of capacity 5000 m3/hr to attain fine vacuum. The requirement will differ from operation to operation i.e., if its distillation the requirement can be low and if its drying the requirement may go high. So based on the scenario, we need to install a booster to vacuum pump.

Basically, the vacuum pump to which we need to install booster shall be referred as backup pump. The capacity of the booster depends on the non-condensing vapour load and the air seepage that might result through the vessel MOC. The efficiency of the booster majorly depends on the backup pump working. Boosters can be aligned even with oil ring vacuum pumps and some times with ejectors.

Today, lets start our calculation on estimating the booster capacity for a specific operation.

Before going into the topic, lets check out some basic things which shall make things easier.

**You Might Also Like:**

Orifice Regulator Sizing for Gas Purging

Perform DOE using Minitab

**NC Load:**Non - condensable load

**Carry over load:**The load attributed by the gases on the vacuum system which are not condensable at process condenser.

**Ultimate vacuum:**The maximum attainable vacuum on the system, most of the times these are going to be specified in absolute vacuum.

**Pump down time:**The time taken by a pump to reach the desired vacuum level.

For performing the calculation, we need some data,

So here i'm assuming some data.

Inlet vapour temperature (Tv) = 50℃ = 323°K

Vacuum required on system (V) = 2 torr

Non - condensable vapour load from process (Nc) = 10 Kg/hr

Molecular weight of the vapour (Mc): 50 g/mole

Carry over air load (Ca) = 4 Kg/hr

Molecular weight of air (Ma) = 28.84 g/mole

Capacity of booster required = ((R x Tv) / (1.33 x V)) x ((Nc / Mc) + (Ca / Ma))

= ((83.14 x 323) / (1.33 x 2)) x ((10 / 50) + (4/28.84)) = 3419 m3/hr.

Now, lets see the basis for equation and how it is derived,

To build some complex equation, most of the times I'll prefer the basic equations, in this case I've preferred universal gas law PV = nRT

V is the volumetric flowrate that we need to estimate,

So, V = n R T / P,

V = (R x T / P) x n

V = (R x T / P) x (Moles of non - condensable gases + Moles of air seepage through MOC)

Upon simplifying the above equation we got the below,

V = (83.14 x T / 1.33 x P) x ((Wt. of gases/Mol. Wt. of gases) + (Wt. of air / Mol. Wt. of air))

**Units:**

V in m3/hr

T in degree kelvin,

P or V in torr (Absolute vacuum),

R = 83.14 cm3-bar/gmole. K,

Wt. in Kgs; Mol. Wt. in g/mole.

Usually i like leaving some puzzles in my post (for example the constant 1.33

*in this post) to which most of the readers were found commenting, please don't mind about that. To solve the riddle, perform dimensionless analysis*ðŸ˜€**Note:**You can further customize the above equation by adding other volatile content in terms of moles (if required).

Now, we need to extend our calculation for estimating the pump down time (t),

t = k x 2.3 x (V / S) x log(Pi/Pf)

k - Empirical factor which depends on the pressure range

t - Effective time in Seconds

V - Volume of system in liters

Pi - Initial pressure

Pf - Final pressure

S - Pumping speed in LPS

**You Might Also Like:**

Design of Pitch Blade turbine

Hazards in handling Fluidized Bed Dryer

k values for different pressure ranges are as follows,

k Pressure Range

1.1 760 - 1

1.5 1 - 0.01

4 0.1 - 0.001

System volume is 15 KL,

t = 1.1 x 2.3 x (15 x 1000 / 3419 x 0.2778) x log (760/2) = 103.07 seconds = 1.72 minutes.

That's it ....!!!

If any queries, feel free to write a mail or comment

Comments are most appreciated........!!!

**A**bout The Author

R value is 8.314 . You wrote it 83.14 and what is 1.33 in the formula and how the formula came

ReplyDeleteDear Anonymous,

DeleteBased on the units of R, the value will change.

1.33 is pressure.

Next time, kindly comment with your good name.

Best Regards,

Ajay Kumar K

hi ajay my name is rajesh. 1.33 is what pressure pressure required is 2 torr. and 83.14 is in which units.. and also how this formula came ... please comment

ReplyDeleteDear Rajesh,

DeleteThanks for commenting,

0.00133 is the conversion factor from torr to bar, in deriving the equation there will be a 1000 multiple, which resulted in achieving 1.33.

R is having the units of cm3-bar/g.mole K,

The comment is derived from universal gas law i.e., PV = nRT,

V is the volumetric flowrate that we are trying to calculate.

Try to apply units & dimensions, you'll get it,

Best Regards,

Ajay Kumar K

How can we calculate carry over load, NC load

ReplyDeleteCarry over load is a result of air seepage through the vessel MOC due to pressure variation and here in this case it is considered as 4 Kg/hr (Since the ultimate vacuum is high i.e., 2 torr)

DeleteNon - condensable load is due to the gases present in the distillation / drying process, for an example if you have ammonia gas then it needs a utility of temperature ~-40 C to condense it, if you are able to provide only -20 C or -15 C brine, then it will contribute to NC load, hence to attain those we need to visit the manufacturing process and the volatile components present in the process thoroughly.

Best Regards,

Ajay Kumar K

Sir sorry for commenting here about your previous posts.... Please check the Filtration feasibility in ANF,... Formula for cake concentration and resistance... Please

ReplyDelete