Determine the differential area elements on the following...

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CBE 320 September 9, 2009 Transport Phenomena Problem Session II Part B: Viscosity, Differential Areas and Fluxes 1. Work problem 1A.6 in BSL. 2. Determine the differential area elements on the following surfaces. In each case, sketch the coordinate system and the area element. a. on a surface of constant x in rectangular coordinates. b. on a surface of constant z in cylindrical coordinates. c. on a surface of constant r in cylindrical coordinates. d. on a surface of constant θ in cylindrical coordinates. e. on a surface of constant r in spherical coordinates. f. on a surface of constant θ in spherical coordinates. 3. Write integral expressions for the molecular force components (i.e., that caused by τ and perhaps p ) exerted by a flowing fluid on the following solid surfaces. a. the z component of the force exerted on a plane z = 5 (rectangular coordinates; the fluid flows above the plane, with the semi-infinite solid below the plane).

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