AOS145_HW01_W17 - AOS 145 Homework#1 Winter 2017 – Li Due...

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Unformatted text preview: AOS 145 Homework #1 Winter 2017 – Li Due 1/25/2017 Name: ________________________________ ID: ___________________________________ 3 QUESTIONS (10 points total) 1. The following drop size distribution was measured in fog: a) [1 point] Draw a graph of the drop size distribution. b) [1 point] Draw a graph of dN/d(logDp)of the drop size distribution. c) [1 point] Calculate the total liquid water (in g m­3) contained in the fog. 2. [2 points] Use the graph below to calculate how many particles per cubic­centimeter can be found between 0.1­0.2 µm. 3. Let's look at the fate of particles in a room: A cubic room with a wall length of L (room volume = L3) contains particles of diameter Dp with a concentration of N(t = 0, Dp) at time t = 0. The air in the room is well mixed, i.e., particles are distributed uniformly in the room. A laminar layer of thickness h = 1 mm exists on all wall surfaces. The walls are perfectly absorbing. Particles hitting the wall will therefore stick permanently on them. a) [2 points] Derive an expression for N(t) if particles are solely lost by diffusion onto the walls. Hint: Because the walls are perfectly absorbing the particle concentration on the wall is zero. b) [2 points] Can you do the same calculation for gravitational settling? c) [1 point] Discuss qualitatively (without calculations) how the two loss processes depend on Dp. ...
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