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The effect of adsorption depth parameter λ on (a) the dimensionless interfacial pressure drop at the bubble tip, (b) the viscous contribution to the bubble-tip pressure drop and (c) the dimensionless fractional film thickness that is deposited on the channel wall. The other parameter values are set to: Ca = 0.4, η = 100, ϕ = 0.5, Peb = 50, Pes = 103, Sta = 0.3, Std = 0.03 and El = 1.
