A Novel Multivariate Spectral Local Quasilinearization Method (MV-SLQLM) for Modelling Flow, Moisture, Heat, and Solute Transport in Soil

Table 1

Dimensionless model numbers and parameter values.

	Symbol	Description	Value range	Reference(s)
Numbers		Pores’ Reynolds number, laminar Darcy flows		[40]
		Darcy number		[92]
		Forchheimer number		[40]
		Concentration Grashof number		[93]
		Temperature Grashof number		[93]
		Prandtl number		[94]
		Eckert number	1.8	[74, 95]
		Peclet number		[23, 96]
	Da	Damkhler number		[23]
		Lewis number		Eq. (19)
Parameters		Heat capacity ratio	0.01	[95]
		Characteristic time
		Heat generation/absorption	2.0	[95]
		Apparent Dankhler number		equation (27)
		Weighted Dankhler number		equation (29)
		Apparent chemical sink		equation (29)
		Matrix retardation factor		equation (13)
		Apparent diffusion ratio		equation (19)
		Moisture retardation factor		equation (19)

Note: means that the value is empirically estimated. The empirical values are computed at , , , , and .