Atmospheric Humidity Question Sheet

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Aerospace Engineering

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Dec 6, 2023

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Part C. Lifting Mechanisms 6 Figure by Scott Crosier is licensed under CC BY-NC-SA 4.0 9 | Lab 6: Atmospheric Humidity There are four major lifting mechanisms in which air is forced upwards: Convergent Lifting : Air flowing from different directions ‘crashes’ into one another, causing the air to be forced upward Convectional Lifting : Over a warm surface, the heated air is forced upwards Orographic Lifting : Air forced up and over a mountain Frontal Lifting : As two different air masses intersect, the warm, humid air is forced upward 19. Label the following lifting mechanism diagrams based on their descriptions. a. __________Convergent lifting ______________________________________________: Figure 6.7: Lifting Mechanism Sample 1. 7 b. ____________orographic lifting ____________________________________________:
Figure 6.8: Lifting Mechanism Sample 2. 8 c. ________________frontaaal lifting ________________________________________: 7 Figure by Scott Crosier is licensed under CC BY-NC-SA 4.0 8 Figures by Scott Crosier is licensed under CC BY-NC-SA 4.0 10 | Lab 6: Atmospheric Humidity Figure 6.9: Lifting Mechanism Sample 3. 8 d. ________________convectionall lifting ________________________________________: Figure 6.10: Lifting Mechanism Sample 4. 8
Part D. Adiabatic Rates Assume an unsaturated air mass located at sea level (0 meters) in the Sacramento Valley has an initial air temperature of 17°C and a specific humidity of 4g H 2 O/kg air. The prevailing westerlies are forcing the air mass towards the western slope of the Sierras. 20. Calculate the relative humidity and the dew point temperature of the air mass. Show your work. Given, initial air temperature T = 17 C. specific humidity of 4g H 2 O/kg air. The saturation water content at 17 C can be found from the saturation specific humidity table. Es = 13 g H 2 O/kg air. The relative humidity is given by, RH = (4/13) x 100 RH = 30.76 % , the dew point temperature is given by, Td = T - (100-RH)/5 putting the required values, we see Td = 17 - (100-30.8)/5 Td = 3.16 C LCL = (Air Temperature - Dew Point Temperature) |DAR| (in ‘000s of m) 21. At what elevation will clouds start to form? Calculate the LCL for this air mass using the following formula. Show your work. LCL = ___1767.5m____ meters
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11 | Lab 6: Atmospheric Humidity 22. Calculate the expected temperature of the air mass at the ridge of the Sierras (4,000 meters). Don’t forget to calculate the DAR of the air before it reaches the LCL and the MAR as it continues to rise to the peak. Show your work. T air (LCL)=t air (surface)- dry (z2-z1) T air (LCL)= 7-10(1.7675) T air (LCL)=-10.675 C T air (z2)=T air (z1)- moist (z2-z1) T air (z2)= -10.675-6.5 x (4- 1.7675) T air (z2)=-25.18 The following formula might be of assistance: Change in Temp = Rate (DAR or MAR) x Change in Elevation Temp at the LCL =__-10.675____°C Temp at 4,000 m =___-25.18___°C As the air descends down the leeward side of the Sierra Nevada mountain range, the air mass is heated by compression. 23. If temperature rises, what happens to the relative humidity? As the temperature rises due to heating due to adiabatic compression, the water holding capacity of the air will increase. This will eventually lead to decrease in the relative humidity. 24. Based on your answer above, will the sinking air warm at the DAR or MAR? Why? Explain your response in one to two sentences. The sinking air will warm at a dry adiabatic rate once it crosses the dew point temperature. This is because the cooling due to adiabatic expansion is opposite to the heating due to the adiabatic compression. So, the rate of heating should be equal to the
rate of cooling. 25. What is the temperature of the air mass once it reaches Reno at 1,500 meters? Show your work. Temp at Reno=___7___°C 26. Based on your calculations above, use the profile below (Figure 6.12) and fill in any missing information about the labeled locations. 27. Draw arrows indicating the movement of air over the range and label the regions where the air will warm or cool based on the DAR or the MAR. 12 | Lab 6: Atmospheric Humidity
Figure 6.12: Temperature and Relative Humidity over the Sierra Nevada Mountain Range. 9 9 Figure by Scott Crosier is licensed under CC BY-NC-SA 4.0 13 | Lab 6: Atmospheric Humidity
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