Transport 2 Homework 1 (1).docx - Transport 2 Homework set 1(50 points total Review of Vectors and Coordinate Systems Due 5 p.m 25th September 2018 Late

Transport 2 Homework 1 (1).docx - Transport 2 Homework set...

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Transport 2 Homework set 1 (50 points total) Review of Vectors and Coordinate Systems: Due: 5 p.m.; 25 th September 2018. Late homework will not be accepted Please upload on blackboard. 1.Application of vector operations to fluid flow: a.What do divergence and curl of the velocity vector tell you about fluid flow? What are the mathematical equations to determine divergence and curl? How doyou interpret calculated divergence and curl for a given system? (5 points)b.A 2D flow velocity vector is given byu(x,y) = ( 3x2+y) i + (3y2+x) j. At (3,-3) and (3,3) determine if flow is incompressible and irrotational. (10 points). 2.Understanding cylindrical coordinates. Liquids are transported in pipes with circular cross-sections. Cylindrical coordinate systems are really useful to model flow in these geometries. In cylindrical coordinates, a point position is represented by the radial distance from an axis (r), the direction from the axis relative to a chosen reference direction (), and the distance from a chosen plane perpendicular to the axis (z).

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