Modeling and Simulation in Chemical Engineering, Assignment 2 1 Due date: October 23, 2015 Note: you must hand in your assignment at the beginning of class on the due date. Dimensional Analysis Problem 1. (50 points) Table 1. shows governing variables for the flow of fibers suspended in water through a pipeline and for the measurement of their flow friction as a function of flow rate. Table 1. Governing variables for the flow of fiber suspensions. Governing variable Symbol Unit Mean Velocity V m/s Friction Velocity u m/s Inner diameter of D M pipeline Kinematic viscosity of m2/s the fluid (water) Fiber length M Fiber Diameter d M Fiber Number Density n l/m3 Dimension L/t L/t L L2/t L L 1/L3 The mean velocity is assumed to follow the relation given by: = (, , , . , )=() () () () () () where and all the indexes are pure numbers. Find dimensionless groups and their relation for the flow by using dimensional analysis. Tensor Notation Problem 2. (50 points) write the following vector-calculus forms into Tensor Notation form using the Kronecker delta and permutation symbol: ( A B) ( ) ( ) Friday, October 16, 2015 (1) (2) CE8201