MAT 443 Study Guide - Quiz Guide: Nondimensionalization
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Q1: (i) show the details of the non-dimensionalization described by equations (1. 6)-(1. 8) in murrays. A2+n 2 , where a, kb have the same book: the original equation is dn dimension as n , rb has the dimension of time 1, and b has the dimension of n time 1. Since a, n have the same dimension, and bn 2 is a non-demensional variable. ( n. A )2 , then we can set u = n. 1+ n dt = rbn (1 n. Since kb, a have the same dimension, then set q = kb. B , then r is also s non-dimentional constant. A , then q is a non-dimensional constant. To non-dimensionalize what is left, it is reasonable to set a constant such that b = a. 1 + u2 (ii) choose one of the new dimensionless variables or parameters and explain its meaning in your own words.
