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Unformatted text preview: Problem 8.2 a and b in Process Fluid Mechanics. Problem 3 Problem 8.7 in Process Fluid Mechanics. Problem 4 One type of compact heat exchanger is shown in Figure 4A below. In order to analyze the performance of such an apparatus, it is necessary to understand the flow in a duct whose cross section is an equilateral triangle. This is done most easily by installing a coordinate system as shown in Figure 4B. (a) Simplify the Navier-Stokes equations to get a partial differential equation for v z . How many boundary conditions are needed in order to solve this equation? (b) Verify that the velocity distribution for the laminar flow of a Newtonian fluid in a duct of this type is given by v z = P " P L ( ) 4 # LH y " H ( ) 3 x 2 " y 2 ( ) where the equivalent pressure changes by an amount (P L-P ) over a distance L in the flow direction. (c) Find the mass flow rate, average velocity, and maximum velocity. Figure 4A Figure 4B...
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- Spring '10
- Fluid Dynamics, Process Fluid Mechanics