Other
Research Web-Applications
Java Applet
for Opposed-Flow Flame Spread Over Solid Fuels in
Fully Developed
Channel
Tan Cao and
Subrata (Sooby) Bhattacharjee |
| Description: |
 |
| This Applet
calculates the Flame Spread Rate for Horizontal Flame Spread over Solid
Fuels in an Opposing Forced Gas Flow in Fully Developed Channel using the
Modified Extended Simplified Theory (MEST) developed at San Diego State
University as presented below:
This model requires
as inputs: Physical parameters (V_g, p_amb, yo2_amb, H, tau etc.), ambient
properties of the oxidizer (mixture of Oxygen and Nitrogen), properties
of solid fuels ( PMMA and Cellulose properties are default), and model
configuration parameters (see below).
Calculations
produce:
ReH_amb, Reynolds
number based on H at ambient temperature and pressure.
V_eqv, equivalent
gas velocity experienced by the flame (see MEST).
V_f, flame spread
rate.
tau_cr, half
thickness at which the fuel behavior transitions from thin to the
thick regime or vice versa.
T and eta, dimensionless
spread rate and thickness.
|
| User
Instructions: |
| Click the "Initialize"
button to retrieve the default properties and modify them to match the
conditions of interest. |
| Click the "Calculate"
button when ready to solve for unknown values. |
|
Spread Rate Calculator for Fully Developed Forced Opposed Flow in a Channel (Thermal Regime) |
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| Examples: |
Example
#1:
How do you find the flame spread rate over a horizontal PMMA having a half
thickness of 0.02 m, in an opposing forced gas flow having a velocity of
0.1m/s, an oxygen percentage of 70%, a pressure equal to 1 standard atmosphere,
at ambient temperature of 298 F with MEST, EST, and deRis Thick Fuel
Formulas? (All other properties have default values).
Note: Thick Fuel Formulas are applied when tau
> tau_cr.
Launch the Java
Applet by clicking on the link above. |
Modify
the percentage of Oxygen, y_O2 to indicate 70% and the gas velocity, V_g
to show 0.1m/s.
Modify the values
of the coefficients from C1 to C6 and the value of T_vap using appropriate
data given in Table 1 for each type of formula. |
| Click
the "Calculate" button. The flame spread rate, V_f, from MEST is
0.9184 mm/s, from EST is 0.6955mm/s, ,from deRis is 0.8696mm/s |
Example #2:
How do you find the flame spread rate for 1 mm thick cellulose in gas having
21% Oxygen and at standard atmosphere with EST and deRis Thin Fuel Formulas?
(All other properties have default values).
Note: Thin Fuel Formulas are applied when tau
< tau_cr.
Launch the Java
Applet by clicking on the link above. |
| Select
Cellulose from the fuel menu. |
Change
the half thickness, tau to 0.5 mm/s..
Modify the values
of the coefficients from a1 to a5 using appropriate data given in Table
2 for each type of formula. |
| Click
the "Calculate" button. The flame spread rate, V_f, from EST is 1.257 mm/s,
from deRis is 0.790 mm/s.
. |
| Modified
Extended Simplified Theory, MEST, Formula for Spread Rate: |
|
MEST (Bhattacharjee & Cao) |
EST (Bhattacharjee & West) |
de-Ris/Delichatsios |
|
C1 |
0.6555 |
0.573 |
0.573 |
|
C2 |
2.207 |
2.000 |
2.000 |
|
C3 |
0.3325 |
0.250 |
0.250 |
|
C4 |
.878 |
0.500 |
0.500 |
|
C5 |
0.555 |
0.500 |
0.500 |
|
C6 |
0.089 |
0.089 |
0.000 |
|
T_vap |
6730F |
6180F |
6180F |
Table : Coefficient and T_vap Values in
MEST and EST Flame Spread Rate Formula for Thick Fuels. |
|
a1 |
1.324 |
0.000 |
|
a2 |
0.684 |
0.000 |
|
a3 |
1.365 |
any |
|
a4 |
7.463 |
any |
|
a5 |
0.500 |
0.500 |
Table : Coefficient Values in EST and deRis Flame
Spread Rate Formula for Thin Fuels. |
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| Comparison
of the simplified model prediction with experimental results: |
| Related
Paper:"Determination
of Spread Rate for Downward Flame Spread over Thick Fuels" |