diman.buckingham.dimensionless-product — com.neuralgraphs/diman 1.1.0

Contains function

• get-dimensionless-products
• get-pi-expression

Given

(def varpars [ {:symbol "x", :quantity "length"}
               {:symbol "v", :quantity "velocity"}
               {:symbol "t", :quantity "time"}
               {:symbol "a", :quantity "acceleration"} ])
(def soln_matrix [ [1 -11 5 8]
                   [0 9 -4 -7] ])

to get the set of dimensionless products

=> (get-dimensionless-products soln_matrix varpars)
[{:symbol "pi0", :expression "x^(1)*v^(-11)*t^(5)*a^(8)"} {:symbol "pi1", :expression "v^(9)*t^(-4)*a^(-7)"}]

and to extract a particular dimensionless product from the set

=> (get-pi-expression (get-dimensionless-products soln_matrix varpars) "pi0")
"x^(1)*v^(-11)*t^(5)*a^(8)"

get-dimensionless-products clj

(get-dimensionless-products solution_matrix varpars)

(get-dimensionless-products solution_matrix
                            varpars
                            variable_symbol_list
                            m
                            i
                            ans)

Given a solution matrix and its definition of variables/parameters of a system, this function returns a vector such that each element is a map with keys, :symbol and :expression. The elements of this vector represents the elements of the set of dimensionless products.

get-pi-expression clj

(get-pi-expression all_pi desired_pi)

(get-pi-expression all_pi desired_pi ans)

Given the set of dimensionless products (a vector of maps with keys, :symbol and :expression) and the symbol of a dimensionless product (as "piX" where X is an integer from 0, 1, 2, ...), this function returns the expression of the desired dimensionless product.