Erratum: “Adaptive Computations to Pressure Profile for Creeping Flow of a Non-Newtonian Fluid With Fluid Non-Constant Density Effects,” [ASME J. Heat Mass Transfer-Trans. ASME, 2022, 144(10), p. 103601; DOI: 10.1115/1.4055092] Free

There are some typesetting errors in the “Adaptive computations to pressure profile for creeping flow of a non-Newtonian fluid with fluid non-constant density effects,” which are proposed as follows:

• In Eq. (8), $σB021+m2Cos(γ)(U′Cos(βγ)− V′Sin(γ))− gρf[ς(T′−T0′)+ς*(C′−C0′)]+ρ(T′,C′)gSin(α)$⁠, should be $σB021+m2Cos(γ)(U′Cos(γ)−V′Sin(γ))− gρf[ς(T′−T0′)+ς*(C′−C0′)]+ρ(T′,C′)gSin(ϵ)$⁠, it is like in the work by Hussain and Farooq [1], they studied the Gyrotactic micro-organisms swimming of peristaltic flow in esophagus.

• The non-dimensional quantities $Nb=τ DBC0′ν, Nt=τ DBT0′ν$⁠, which are defined as in the recent published works in Refs. [2–4].

• The definition of fluid density in the paper in Ref. [5], which is the same as presented in Eq. (3) by Ref. [6], and the authors state that according to the Boussinesq approximation, this dependence of the density is taken into account only within the buoyancy term. The sign of $β$ indicates whether the colloidal particles have a higher or a lower mass density compared to the solvent. Here, we assume $β > 0$ corresponding to $ε<1$⁠.

• The dimensionless of some parameters are missing in the paper [5], like $P=d12cλη0p$⁠, $η=ρfd12Kμ0$⁠, $Ec=c2cf(T1−T0)$⁠, which is the same in Refs. [6–10].