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Psychrometrics Lecture 1 - PowerPoint PPT Presentation

Psychrometrics – Lecture 1. Reading: Chapter 9 in Henderson/Perry Handouts. Dr. C. L. Jones Biosystems and Ag. Engineering . Psychrometry. Study of physical and thermal properties of air and water vapor mixtures. Simply put: the science of drying. Dr. C. L. Jones

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• Chapter 9 in Henderson/Perry

• Handouts

Dr. C. L. Jones

Biosystems and Ag. Engineering

• Study of physical and thermal properties of air and water vapor mixtures.

• Simply put: the science of drying

Dr. C. L. Jones

Biosystems and Ag. Engineering

• Where:

• p = absolute pressure

• V = volume

• N = number of kg-moles

• R = universal gas constant

• T = absolute temperature (K)

Dr. C. L. Jones

Biosystems and Ag. Engineering

• For a fixed number of moles of an ideal gas:

• p1V1/T1=p2V2/T2

• For Mixtures…Dalton’s Law pg. 238

• Dr. C. L. Jones

Biosystems and Ag. Engineering

• Atmospheric air is always a mixture of dry air and water vapor. Physical and thermal quantities describe the state of the mixture…

• Dry-bulb temperature: true temp. of the mixture

• Saturation pressure: pressure where liquid and vapor forms of water are in equilibrium… evaporation rate = condensation rate

• Use standard steam table or calculate (9.18)

ln psat = 31.9602 – 6270.3605/T – 0.46057lnT (for 255.38 to 273.16 K)

ln(psat/R’) = (A + BT + CT2 + DT3 + ET4)/(FT – GT2) (for 273.16 to 2533.16 K)

K = C + 274.15

Dr. C. L. Jones

Biosystems and Ag. Engineering

• Humidity ratio: mass of water vapor per unit mass of dry air

• Relative humidity: measure of amount of water air can hold at a certain temperature

• Specific Volume: vol. per unit mass of dry air at the state of the mixture…iow…space occupied by air…greater volume at warmer temperatures

Dr. C. L. Jones

Biosystems and Ag. Engineering

• Dew-Point Temperature: temperature at which water will begin to condense out of moist air. (constant humidity ratio and pressure)

• Wet-bulb Temperature: determined when air is circulated past a wet sensor tip. Temp. at which water evaporates and brings the air to saturation. (constant enthalpy) (adiabatic process)

• Enthalpy: heat energy content of moist air

Dr. C. L. Jones

Biosystems and Ag. Engineering

Dr. C. L. Jones

Biosystems and Ag. Engineering

• Mollier vs. Traditional charts pg 252-253

Dr. C. L. Jones

Biosystems and Ag. Engineering

• Find a point using two properties…

• Can find all of the other 5 properties

• This point is called the “state point”

• Example: 25°C dry bulb and 18° C wet bulb

• Find enthalpy, sp. vol., humidity ratio, rh, dewpoint

Dr. C. L. Jones

Biosystems and Ag. Engineering

Dr. C. L. Jones

Biosystems and Ag. Engineering

Psychrometric Processes Application: condensation

A carton of eggs was removed from the refrigerator and left on the kitchen counter. The refrigerator was set at a temperature of 5oC and the kitchen at 24oC, 30% relative humidity.

Will condensation occur (i.e., "sweat" appear on eggs)?

(def. of dew point: temperature at which water will begin to condense out of moist air)

SOLUTION

The corresponding dew-point temperature at 24oC and 30% relative humidity is 4.5oC. Since 4.5oC < 5oC, condensation will not occur.

Dr. C. L. Jones

Biosystems and Ag. Engineering

Psychrometric Processes Application: power requirement for heaters

• Example 9.10 pg. 258

• Mass flow rate m = Q/v,

• Q=vol. flow rate,

• v=spec. vol. of air

q = m(Δh) where q = rate of heat transfer

So: q = (Q/v) Δh

Dr. C. L. Jones

Biosystems and Ag. Engineering

• Application example: power requirement for heaters

• Example 9.10 pg. 258

• v = 0.8724 m^3/kg,

• h1 = 55.8 kJ/kg,

• h2 = 76.3 kJ/kg

Dr. C. L. Jones

Biosystems and Ag. Engineering