On the Nondimensionalization Process in Complex Problems: Application to Natural Convection in Anisotropic Porous Media

Table 3

Values of the physical parameters, S.I. (cases 13–22).

	Case	𝐾𝑥	𝐾𝑦	𝛼𝑥	𝛼𝑦	𝜇	Δ𝜌	𝑔	𝑣^∗
Group 5	13	𝐾𝑥,13	𝐾𝑦,13	𝛼𝑥,13	𝛼𝑦,13	𝜇13	Δ𝜌13	𝑔13	5.520𝑒−6
		1.94𝑒−13	4.8𝑒−13	1.21𝑒−6	3𝑒−6	2𝑒−4	230	10
	14	𝐾𝑥,13	𝐾𝑦,13	2𝛼𝑥,13	2𝛼𝑦,13	0.5𝜇13	0.5Δ𝜌13	2𝑔13	1.104𝑒−5
		1.94𝑒−13	4.8𝑒−13	2.42𝑒−6	6𝑒−6	1𝑒−4	115	20
Group 6	15	2𝐾𝑥,13	𝐾𝑦,13	2𝛼𝑥,13	𝛼𝑦,13	𝜇13	Δ𝜌13	𝑔13	5.520𝑒−6
		2.743𝑒−13	4.8𝑒−13	1.711𝑒−6	3𝑒−6	2𝑒−4	230	10
	16	2𝐾𝑥,13	𝐾𝑦,13	22𝛼𝑥,13	2𝛼𝑦,13	0.5𝜇13	0.5Δ𝜌13	2𝑔13	1.104𝑒−5
		2.744𝑒−13	4.8𝑒−13	3.422𝑒−6	6𝑒−6	1𝑒−4	115	20
Group 7	17	2𝐾𝑥,13	𝐾𝑦,13	2𝛼𝑥,13	𝛼𝑦,13	𝜇13	Δ𝜌13	𝑔13	5.520𝑒−6
		3.886𝑒−13	4.8𝑒−13	2.425𝑒−6	3𝑒−6	2𝑒−4	230	10
	18	2𝐾𝑥,13	𝐾𝑦,13	4𝛼𝑥,13	2𝛼𝑦,13	0.5𝜇13	0.5Δ𝜌13	2𝑔13	1.104𝑒−5
		3.886𝑒−13	4.8𝑒−13	4.85𝑒−6	6𝑒−6	1𝑒−4	115	20
Group 8	19	4𝐾𝑥,13	𝐾𝑦,13	4𝛼𝑥,13	𝛼𝑦,13	𝜇13	Δ𝜌13	𝑔13	5.520𝑒−6
		7.772𝑒−13	4.8𝑒−13	4.85𝑒−6	3𝑒−6	2𝑒−4	230	10
	20	4𝐾𝑥,13	𝐾𝑦,13	8𝛼𝑥,13	2𝛼𝑦,13	0.5𝜇13	0.5Δ𝜌13	2𝑔13	1.104𝑒−5
		7.772𝑒−13	4.8𝑒−13	9.7𝑒−6	6𝑒−6	1𝑒−4	115	20
Group 9	21	0.5𝐾𝑥,13	𝐾𝑦,13	0.5𝛼𝑥,13	𝛼𝑦,13	𝜇13	Δ𝜌13	𝑔13	5.520𝑒−6
		9.715𝑒−14	4.8𝑒−13	6.0625𝑒−7	3𝑒−6	2𝑒−4	230	10
	22	0.5𝐾𝑥,13	𝐾𝑦,13	𝛼𝑥,13	2𝛼𝑦,13	0.5𝜇13	0.5Δ𝜌13	2𝑔13	1.104𝑒−5
		9.715𝑒−14	4.8𝑒−13	1.21𝑒−6	6𝑒−6	1𝑒−4	115	20