Near-surface flow in glaciers obeying glen's law

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Abstract

AT SECOND order, we have found an error in our surface boundary-layer analysis. Equation (63b) for C1 which represents a higher-order shear induced in the core region by the boundary layer, should be replaced byC1=δ23133(32)13Γ2(13)Γ(23)qo″qo′sinα.The error stems from the omission of a . δ13 in equation (40) and from an error in the expression for the integral in (62a). The correct expressions are. ∂σnn(1)∂N=-yo′sinα-δ13∂σns(0)∂s,∂σns(1)∂N=-yo′cosα-δ13∂σss(0)∂s,(40)∫0∞∂snn(0)∂sdN=-163(32)13Γ2(13)Γ(23)qo″qo′sinα. (62a)In the analysis following (40) the omission of the δ13 can be traced to a similar omission in the integral term in equations (53) and (61) which ultimately leads to C1. Consequently, the higher-order stress field in the boundary layer consists of a term of order in addition to a term of order δ43. This error has no other effect on the analysis. © Oxford University Press.

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Johnson, R. E., & Mcmeeking, R. M. (1984, November). Near-surface flow in glaciers obeying glen’s law. Quarterly Journal of Mechanics and Applied Mathematics. https://doi.org/10.1093/qjmam/37.4.631

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