hw2a - z direction, centered at the origin (cylindrical...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
CBE 320 September 13, 2010 Transport Phenomena Problem Session II Part A: Differential Areas and Fluxes 1. 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. 2. 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). b. the z component of the force exerted on the end of a cylinder oriented in the
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: z direction, centered at the origin (cylindrical coordinates; the fluid flows outside the cylinder of radius R , length L ). c. the z component of the force exerted on the inner wall of a hollow cylinder (oriented in the z direction; cylindrical coordinates; the fluid flows inside the cylinder of radius R , length L ). d. the r component of the force exerted on the surface of a cone. In spherical coordinates, the cone may be defined as a surface of constant θ (for this problem, assume θ < π/ 2 ). The fluid flows external to the cone, which extends to a radius R . For this problem, just determine the differential component of the force, not the integral over the surface. 3. Work problem 1.B.1, parts (a) and (b), in BSL. Assume that b > , and find the components of τ and ρ vv in rectangular coordinates. 1...
View Full Document

This note was uploaded on 09/23/2010 for the course CBE 310 taught by Professor Idk during the Spring '10 term at University of Wisconsin.

Ask a homework question - tutors are online