Engineering Smoke interface height and temperature

[Sabra_a]

Homework Statement

A warehouse has a floor area of 550 m2 and a height of 11 m. An accidental fire starts on the ground. There is one door opening (3 m high and 6 m wide) at the floor level.

(i) The fire is a steady fire with heat release rate (HRR) 2 MW. Determine, using both the dimensionless method and Klote & Milke’s method, the smoke interface position and corresponding smoke layer temperature and plot them as functions of time from 3m below the ceiling to the top of the opening. Make suitable comments on your results.

(ii) Using one suitable method, repeat the calculations and plot the same as in (i) for a fast growing t^2 fire.

Relevant Equations

Dimensionless method
Klote and Milke's method
Heat release rate
smoke layer height

 

[256bits]

@Sabra_a
Looks to quite an involved calculation with formulas and graphs.
Unfortunately, I do not have much of the familiarity with fires and smoke to help you out.

But some things I would ask about.

What would be the labels on the axis, and units?
From formula does the graph made?

Same here - labels and units and formula.

Above the graph is the Th = 36.48 K.
( the previous Th was 290.2 K )
What's Th - the temperature of the smoke?
Is Th supposed to be less than ambient?

 

[Sabra_a]

Thank you fo the reply. I changed few things in my answer
for the graph smoke interface height on the x-axis its time in seconds any y-axis is the smoke interface height
that's my solution. its a really long solution I sill couldn't fit one more page in and it will be difficult to explain. in the first part we are finding the location of the smoke interface and its temperature. its taken from 3 m below the ceiling and above the door which is 6m. this is solved using 2 different methods. them repeating the same calculation for a fast growing fire.