An expression for the actual water vapor partial pres-sure

Chapter 6, Problem 6.78

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An expression for the actual water vapor partial pres-sure in terms of wet-bulb and dry-bulb temperatures,referred to as the Carrier equation, is given aswhere pv, pgw, and pare the actual partial pressure, thesaturation pressure at the wet-bulb temperature, andthe total pressure (all in bars), while Tdband Twbare thedry- and wet-bulb temperatures in kelvins. Consider airat 1 atm and 37.8C flowing over a wet-bulb thermome-ter that indicates 21.1C.(a) Using Carriers equation, calculate the partial pres-sure of the water vapor in the free stream. What isthe relative humidity?(b) Refer to a psychrometric chart and obtain the rela-tive humidity directly for the conditions indicated.Compare the result with part (a).(c) Use Equation 6.65 to determine the relative humid-ity. Compare the result to parts (a) and (b).

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