Equations for the Drag Force and Aerodynamic Roughness Length of Urban Areas with Random Building Heights

We use a conceptual model to investigate how randomly varying building heights within a city affect the atmospheric drag forces and the aerodynamic roughness length of the city. The model is based on the assumptions regarding wake spreading and mutual sheltering effects proposed by Raupach (Boundary-Layer Meteorol 60:375-395, 1992). It is applied both to canopies having uniform building heights and to those having the same building density and mean height, but with variability about the mean. For each simulated urban area, a correction is determined, due to height variability, to the shear stress predicted for the uniform building height case. It is found that u (*)/u (*R) , where u (*) is the friction velocity and u (*R) is the friction velocity from the uniform building height case, is expressed well as an algebraic function of lambda and sigma (h) /h (m) , where lambda is the frontal area index, sigma (h) is the standard deviation of the building height, and h (m) is the mean building height. The simulations also resulted in a simple algebraic relation for z (0)/z (0R) as a function of lambda and sigma (h) /h (m) , where z (0) is the aerodynamic roughness length and z (0R) is z (0) found from the original Raupach formulation for a uniform canopy. Model results are in keeping with those of several previous studies.

The Politics of the "New North": Putting History and Geography at Stake in Arctic Futures

References to a “New North” have snowballed across popular media in the past 10 years. By invoking the phrase, scientists, policy analysts, journalists and others draw attention to the collision of global warming and global investment in the Arctic today and project a variety of futures for the region and the planet. While changes are apparent, the trope of a “New North” is not new. Discourses that appraised unfamiliar situations at the top of the world have recurred throughout the twentieth century. They have also accompanied attempts to cajole, conquer, civilize, consume, conserve and capitalize upon the far north. This article examines these politics of the “New North” by critically reading “New North” texts from the North American Arctic between 1910 and 2010. In each case, appeals to novelty drew from evaluations of the historical record and assessments of the Arctic’s shifting position in global affairs. “New North” authors pinpointed the ways science, state power, capital and technology transformed northern landscapes at different moments in time. They also licensed political and corporate influence in the region by delimiting the colonial legacies already apparent there. Given these tendencies, scholars need to approach the most recent iteration of the “New North” carefully without concealing or repeating the most troubling aspects of the Arctic’s past.

Quadratically Hyponormal Weighted Shifts with Recursive Tail

We characterize positive quadratic hyponormality of the weighted shift W-alpha(x) associated to the weight sequence alpha(x) : 1, 1, root x, (root u, root v, root w)(Lambda) with Stampfli recursive tail, and produce an interval in x with non-empty interior in the positive real line for quadratic hyponormality but not positive quadratic hyponormality for such a shift. (C) 2013 Elsevier Inc. All rights reserved.