Air Masses Flow From What Pressure To What Pressure Mixing of Air Streams at Different Pressures – A Graphical Approach

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Mixing of Air Streams at Different Pressures – A Graphical Approach

introduction

Mixing of air streams is a frequently occurring situation in many engineering applications. For the purpose of this discussion, let the two incoming streams be A and B, and the resulting (output) stream be C. Usually, we will know the terms of A and B and need to determine the terms of C. , sometimes it is necessary to determine B, knowing A and C.

Air properties relevant to the analysis of such conditions are:

Temperature – Measurable

Pressure – Measurable

Density (or specific volume) – Cannot be measured

Moisture content (also expressed by specific humidity, relative humidity, percentage saturation, vapor pressure) – Relative humidity is measurable.

Background of the problem

A basic assumption is that energy losses due to flow behavior can be neglected, so that the energy of the output stream (specific enthalpy * mass) is equal to the sum of the energies of the input streams. It is also assumed that no mass loss occurs during the mixing process.

Direct measurement of enthalpies is not possible. So they have to be calculated using psychrometric relation. Mass flow rates can be derived from volumetric flow rates and densities. Density, not directly measurable, has to be worked out from pressure, temperature and relative humidity. So the parameters that can be measured are pressure, temperature and relative humidity and the parameters that need to be determined are enthalpy and mass flow rate. It is obvious that psychometric relationships have to be used to solve such problems.

A variation of the problem

1. A, B and C are at the same pressure (A and B may have the same or different temperatures)

2. A and B are at the same pressure, but C is at a different pressure (same or different temperature).

3. A, B and C are all at different pressures. (same or different temperature)

General method of solution

for the Type 1 Knowing the problem, temperature and relative humidity of the incoming stream, it is possible to mark points (say P and Q) corresponding to the conditions of A and B. Draw a line between P and Q and find the point X. such that the distances between X and P and X and Q correspond to the mass flow rates of B and A. The psychrometric values ​​at point X will then indicate the position of the output current. This type of situation is easily represented on a normal psychrometric chart because the pressures of all three streams are equal.

for the Type 2 For the problem, where the input streams are at the same pressure, the process is similar to type 1 up to the point of finding point X. However, since the output stream is at a different pressure, the psychrometric properties at X, as shown on that psychrometric chart, will not be correct for the pressure at stream C. The solution in this case is to superimpose a chart for the pressure of C on the previous chart and read the values ​​from the new chart.

for the Type 3 Problem, we need 3 charts, one each for the 3 pressures involved. A similar approach can be used because enthalpy does not depend on pressure.

conclusion

A graphical solution will be simplified to deal with mixing stream problems where the psychrometric relations at all three pressures are available from a single chart. While superimposing the entire psychrometric chart on another would be so confusing as to render the scheme impractical, it is possible to use a dynamic readout mechanism to simply draw and display the corresponding line for each of the two or three corresponding pressures on the same graph. A set of psychrometric property values ​​of the three streams concerned.

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