A vertical sounding of the atmosphere shows a vertically well mixed layer with constant ~ Sdry/Cp...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A vertical sounding of the atmosphere shows a vertically well mixed layer with constant ~ Sdry/Cp = 288 K, a depth of 500 m, and an inversion layer with a temperature jump AT = 5 K. The sensible heat flux (SHF) is 100 W/m². The surface pressure is 1.018 105 Pa. There is no moisture in the atmosphere. 1a. (5 points) Compute the entrainment velocity. 1b. (5 points) Compute the heating rate of the boundary layer, T/at, due to the turbulent transport. 1c. (10 points) Compute the time rate of change of the saturation specific humidity at a height of 500 m. Hint: You can compute this numerically by evaluating the change in T after some time At. Note that you will also need to compute the vertical pressure profile. Let us now assume that the boundary layer contains moisture with the relative humidity RH qv/qsat = 0.8 at the top of the mixed layer, the SHF = 10 W/m², the latent heat flux is 90 W/m², and Aqv = -2 g/kg. 1d. (5 points) Compute the magnitude of qy in the mixed layer. 1e. (5 points) Compute the surface value of w'T', and the inversion jump ATy. How does these results compare to case that is free of moisture? 1f. (5 points) Compute the entrainment velocity. How does it compare to your solution la? 1g. (10 points) Compute the tendencies (a/at) of T and q due to the turbulent transports. Compute the time rate of change of the saturation specific humidity at the top of the boundary layer. Does the relative humidity at this height increase of decrease? Do you expect clouds to form? A vertical sounding of the atmosphere shows a vertically well mixed layer with constant ~ Sdry/Cp = 288 K, a depth of 500 m, and an inversion layer with a temperature jump AT = 5 K. The sensible heat flux (SHF) is 100 W/m². The surface pressure is 1.018 105 Pa. There is no moisture in the atmosphere. 1a. (5 points) Compute the entrainment velocity. 1b. (5 points) Compute the heating rate of the boundary layer, T/at, due to the turbulent transport. 1c. (10 points) Compute the time rate of change of the saturation specific humidity at a height of 500 m. Hint: You can compute this numerically by evaluating the change in T after some time At. Note that you will also need to compute the vertical pressure profile. Let us now assume that the boundary layer contains moisture with the relative humidity RH qv/qsat = 0.8 at the top of the mixed layer, the SHF = 10 W/m², the latent heat flux is 90 W/m², and Aqv = -2 g/kg. 1d. (5 points) Compute the magnitude of qy in the mixed layer. 1e. (5 points) Compute the surface value of w'T', and the inversion jump ATy. How does these results compare to case that is free of moisture? 1f. (5 points) Compute the entrainment velocity. How does it compare to your solution la? 1g. (10 points) Compute the tendencies (a/at) of T and q due to the turbulent transports. Compute the time rate of change of the saturation specific humidity at the top of the boundary layer. Does the relative humidity at this height increase of decrease? Do you expect clouds to form?
Expert Answer:
Answer rating: 100% (QA)
1a The entrainment velocity is the speed at which air is mixed into the boundary layer It is given by ve SHFAT12 For this problem the entrainment velo... View the full answer
Related Book For
Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine
Posted Date:
Students also viewed these physics questions
-
The dew point temperature Td and the relative humidity RH can be calculated (approximately) from the dry-bulb T and wet-bulb Tw temperatures by (www.wikipedia.org): where the temperatures are in...
-
In a boundary layer where the velocity profile is given by where δ is the velocity boundary-layer thickness, plot the dimensionless dissipation function, Φδ 2...
-
Can the variation of specific heat cp with pressure at a given temperature be determined from a knowledge of Pv- T data alone?
-
Custom Truck Builders frequently uses long-term lease contracts to finance the sale of its trucks. On November 1, 2015, Custom Truck Builders leased to Interstate Van Lines a truck carried in the...
-
Western Corporation received a charter that authorized the issuance of 100,000 shares of $10par common stock and 50,000 shares of $50 par, 5 percent cumulative preferred stock. Western Corporation...
-
List and define the nine knowledge areas.
-
Taylor Company reports free cash flow of \(\$ 15,000\), total cash of \(\$ 18,000\), net income of \(\$ 50,000\), current assets of \(\$ 90,000\), average current liabilities of \(\$ 38,400\), and...
-
The Amato Theater is nearing the end of the year and is preparing for a meeting with its bankers to discuss the renewal of a loan. The accounts listed below appeared in the December 31, 2012, trial...
-
Which is a true statement regarding Roth Contributory IRA distributions? Question 14 options: Account holders can specify what they take out (contributions or earnings) Earnings come out first (LIFO...
-
Several studies have reported lower participation in the science, technology, engineering, and mathematics (STEM) careers by female and minority students. A high school counselor surveys 240...
-
China Manufacturing Agents, Inc. is preparing a five-year plan. Today, sales are $1,000,000. If the sales growth rate is projected to be 10 percent over the next five years, what will be the dollar...
-
List functional and nonfunctional requirements for trust pattern.
-
How do we start with the identification of competition and its related terms?
-
List some of the properties of trust SAP.
-
Write two scenarios, where dignity can be applied to nonliving things.
-
It is much easier to integrate the dignity pattern in any business model. Explain and justify
-
To automatically have a paragraph start on a new page, which of the fallowing should be sone? a. Enable the page break before option. b. Enable the widow and orphan control option. c. Enable the keep...
-
An example of prescriptive analytics is when an action is recommended based on previously observed actions. For example, an analysis might help determine procedures to follow when new accounts are...
-
The fire tube of a hot water heater consists of a long circular duct of diameter D = 0.07 m and temperature T s = 385 K, through which combustion gases flow at a temperature of T m, g = 900 K. To...
-
A bonding operation utilizes a laser to provide a constant heat flux, q"0, across the top surface of a thin adhesive-backed, plastic film to be affixed to a metal strip as shown in the sketch. The...
-
A simple procedure for measuring surface convection heat transfer coefficients involves coating the surface with a thin layer of material having a precise melting point temperature. The surface is...
-
Refer to the data given for the Lowe Company in Problem P12-2B. Required a. Compute the change in cash that occurred during 2019. b. Prepare a statement of cash flows using the direct method. Problem...
-
Refer to the data given for the Madison Company in Problem P12-3B. Required a. Compute the change in cash that occurred during 2019. b. Prepare a statement of cash flows using the direct method. Use...
-
The financial statements for the Columbia Sportswear Company can be found in Appendix A at the end of this book. Required Answer the following questions: a. How much did Columbia Sportswear's cash...
Study smarter with the SolutionInn App