Air-Aided Shear on a Thin Film Subjected to a Transverse Magnetic Field of Constant Strength: Stability and Dynamics

Table 2

Parameter values for which the nonlinear wave attains a finite amplitude.

		𝛽=55 °		𝛽=75 °
		Re=3	Re=6	Re=3	Re=6
𝜏=1	Ha=0	𝑘𝑐=0.7342	𝑘𝑐=1.5866	𝑘𝑐=0.8933	𝑘𝑐=1.7415
	Ha=0.2	𝑘𝑐=0.4618	𝑘𝑐=1.2112	𝑘𝑐=0.6875	𝑘𝑐=1.4092
	Ha=0.4	𝑘𝑐=0.0536	𝑘𝑐=0.8799	𝑘𝑐=0.5121	𝑘𝑐=1.1371
𝜏=0	Ha=0	𝑘𝑐=0.5467	𝑘𝑠=1.4263	𝑘𝑐=0.7468	𝑘𝑐=1.5984
	Ha=0.2	𝑘𝑐=0.3071	𝑘𝑐=1.1034	𝑘𝑐=0.5947	𝑘𝑐=1.3177
	Ha=0.4	𝑘𝑐=0	𝑘𝑐=0.8145	𝑘𝑐=0.4638	𝑘𝑐=1.0872
𝜏=−1	Ha=0	𝑘𝑐=0.2421	𝑘𝑐=1.2475	𝑘𝑐=0.5646	𝑘𝑐=1.4411
	Ha=0.2	𝑘𝑐=0	𝑘𝑐=0.9722	𝑘𝑐=0.4602	𝑘𝑐=1.2099
	Ha=0.4	𝑘𝑐=0	𝑘𝑐=0.7205	𝑘𝑐=0.1834	𝑘𝑐=1.0187