Plume Dispersion Study: Xv/Q at Varying Distances and Conditions, Study Guides, Projects, Research of Physics

An assignment on plume dispersion from a 400m high stack up to 10km horizontal distance. The study considers six different atmospheric conditions using the pasquill-gifford model and computes the quantity xv/q at different horizontal distances. The document also includes tables and graphs to illustrate the results.

Typology: Study Guides, Projects, Research

2011/2012

Uploaded on 08/26/2012

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ABSTRACT
The objective of this assignment was to study the plume dispersion from a 400m high stack up
to 10 km horizontal distance. The quantity for six different atmospheric conditions
determined by the Pasquill-Gifford was taken into account and curves for these conditions were
plotted between the horizontal distances up to 10 km to gain the idea of effluents
emission from a 400 m high stack.
PROCEDURE
The quantity (χv/Q) which has been used to study dispersion effects was computed by the
Following formula,
Where,
y = horizontal diffusion coefficient
z = vertical diffusion coefficient
Q= Effluent Emission Rate
V=Mean Wind
In order to determine the maximum concentration, following relation is used
where (yz)max means that y and z are to be evaluated at the value of x determined from
y was evaluated at the value of x, which was obtained by the curve between z and x. The
value of z was determined by the above relation.
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/ Qv
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ABSTRACT

The objective of this assignment was to study the plume dispersion from a 400m high stack up

to 10 km horizontal distance. The quantity for six different atmospheric conditions

determined by the Pasquill-Gifford was taken into account and curves for these conditions were

plotted between the horizontal distances up to 10 km to gain the idea of effluents

emission from a 400 m high stack.

PROCEDURE

The quantity (χv/Q) which has been used to study dispersion effects was computed by the

Following formula,

Where,

y = horizontal diffusion coefficient

z = vertical diffusion coefficient

Q= Effluent Emission Rate

V=Mean Wind

In order to determine the maximum concentration, following relation is used

where (yz)max means that y and z are to be evaluated at the value of x determined from

y was evaluated at the value of x, which was obtained by the curve between z and x. The

value of z was determined by the above relation.

 v / Q /

 v / Q /

RESULTS

Table 1 Pasquill Category A (Extremely Unstable)

Table 2 Pasquill Category B (Moderately Unstable)

Table 3 Pasquill Category C (Slightly Unstable)

m distance (x)

sigma(Y) sigma(Z)

Q

V

m distance (x)

sigma(Y) sigma(Z)

Q

V

m distance (x)

sigma(Y) sigma(Z)

Q

V

GRAPH

Figure 1 The Quantity Xv/Q at Ground Level, for the Effluents Emitted at Height of 400

1.00E-

1.00E-

100 1000 10000 100000

xQ/V

Distance

Extreme ly Unstabl e Modera tely Unstabl e Slightly Unstabl e

ANALYTICAL STUDY

From graph it is clear that

Table 7 Results From Analytical Study

The maximum value of concentration is

Where (yz) max means that y and z are to be evaluated at the value of x

While

h

 z 

h=stack height=50m

max y z max

Q

v