Stress-Gradient Coupling in Glacier Flow:III. Exact Longitudinal Equilibrium Equation

Stress-gradient Coupling in Glacier Flow: Iii. Exact Longitudinal Equilibrium Equation*

The "vertically" integrated, exact longitudinal stress-equilibrium equation of Budd ( 1970) is developed further in. such a way as to yield an equation that gives explicitly and exactly the contributions to the basal shear stress made by surface and bed slope, surface curvature, longitudinal stress deviators, and longitudinal stress gradients in a glacier flowing in plane strain over a bed of l...

Stress-gradient Coupling in Glacier Flow: Iv. Effects of The

:he "T term• in the longitudinal stressequilibrium equation for glacier mechanics, a double y-integral of fJT xylfJx where x is a longitudinal coordinate and y is roughfy normal to the ice surface, can be evaluated within the framework of longitudinal flow-coupling theory by linking the local shear stress T at any depth to the local shear stres~ T 8 at the base, whi~h is determmed by the theory...

Stress-gradient Coupling in Glacier Flow: Ii. Longitudinal Averaging in the Flow Response to Small Perturbations in Ice Thickness and Surface Slope*

As a result of the coupling effects of longitudinal stress gradients, the perturbations flu in glacier-flow velocity that result from longitudinally varying perturbations in ice thickness M and surface slope t:.a. are determined by a weighted longitudinal average of ~hM and ~~a., where ~h and ~a. are "influence coefficients" that control the size of the contributions made by local M and t:.a. t...

Exact analytical solutions for contaminant transport in rivers 1. The equilibrium advection-dispersion equation

Analytical solutions of the advection-dispersion equation and related models are indispensable for predicting or analyzing contaminant transport processes in streams and rivers, as well as in other surface water bodies. Many useful analytical solutions originated in disciplines other than surface-water hydrology, are scattered across the literature, and not always well known. In this two-part s...

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress