Table 6.

Complex parameters a _m in multifrequency Womersley solution (see Equation A1), defining inflow profiles v _x(r, t), v _y(r, t) and v _z(r, t) (left to right) for y > 0 (top row) and y < 0 (bottom row)

	m	Re{a m}	Im{a m}	m	Re{a m}	Im{a m}	m	Re{a m}	Im{a m}
y < 0	0	− 4.297	0.000	0	4.983	0.000	0	118.056	0.000
	1	2.807	3.994	1	− 3.063	− 3.054	1	− 74.517	− 96.428
	2	1.566	− 0.364	2	− 1.347	− 0.264	2	− 40.421	3.934
	3	0.277	− 0.353	3	− 0.002	0.134	3	− 3.147	7.355
	4	0.102	0.097	4	− 0.169	− 0.006	4	− 3.964	− 2.101
	5	0.163	− 0.101	5	− 0.280	− 0.046	5	− 4.943	0.451
	6	0.120	− 0.072	6	− 0.056	− 0.112	6	− 2.236	1.211
	7	− 0.032	− 0.020	7	0.053	− 0.050	7	0.503	− 0.442
	8	0.076	− 0.014	8	− 0.122	0.012	8	− 1.429	− 1.425
	9	0.085	− 0.012	9	− 0.149	− 0.037	9	− 2.926	0.407
y < 0	0	− 4.705	0.000	0	0.000	0.000	0	122.438	0.000
	1	3.014	4.625	1	0.000	0.000	1	− 72.327	− 92.808
	2	1.899	− 0.495	2	0.000	0.000	2	− 41.436	1.203
	3	0.280	− 0.362	3	0.000	0.000	3	− 4.122	4.902
	4	0.084	0.052	4	0.000	0.000	4	− 2.619	− 3.729
	5	0.237	− 0.102	5	0.000	0.000	5	− 4.207	0.167
	6	0.084	− 0.093	6	0.000	0.000	6	− 2.591	1.917
	7	− 0.037	− 0.062	7	0.000	0.000	7	− 0.485	− 1.067
	8	0.081	0.028	8	0.000	0.000	8	− 1.947	− 2.582
	9	0.067	− 0.035	9	0.000	0.000	9	− 2.743	− 0.325