a CSERGE, School of Environmental Sciences, University of East Anglia, Norwich, NR4 7TJ, UK b Fauna & Flora International, 14 Buckingham Street, London, WC2N 6DF, UK c Department of Land Economy, University of Cambridge, 19 Silver Street, Cambridge, CB3 9EP, UK d Department of Zoology, University of Cambridge, Downing Street, Cambridge, CB2 3EJ, UK e Department of Biology, University of Copenha...

On the verge of the centenary of dimensional analysis (DA), we present a new matrix generalisation of the Buckingham Theorem on which it is based. The proof is based on a solution we have found for inverting non-square block matrices and gives rise naturally to a new pair of transforms the similarity transform (S) that converts physical dimensional data into dimensionless space and its inverse ...

A generalized dimensional analysis performed by using Buckingham’s Pi-theorem for the generalized Burgers’ equation is presented. The application of the Buckingham Pi-theorem is used to reduce the governing partial differential equation with the boundary and initial conditions to an ordinary differential equation with appropriate corresponding conditions. By using a scaling invariant we simplif...

Hyaline membrane disease of the newborn has been a subject of ever-growing interest to paediatricians and pathologists as it is the major cause of death in newborn babies, particularly premature ones. Much more is known of the clinical picture and physiological changes in hyaline membrane disease, or respiratory distress syndrome of the newborn (Avery, 1962; Curtis, 1957; James, 1959; Miller, 1...

Skeletal muscle tissue is composed of multinucleated fi bers that arise at defi ned periods of embryogenesis from fusion of myoblasts (Buckingham et al., 2003). In particular, embryonic and fetal myoblasts, originating from different waves of myoblasts (Cusella-De Angelis et al., 1994; Relaix et al., 2005), give rise to primary (at about embryonic day [E] 11–12) and secondary (at about E15–16) ...

Alicia M. Hall,1,2,3 X Benjamin T. Throesch,5 X Susan C. Buckingham,3 Sean J. Markwardt,3 Yin Peng,4 Qin Wang,4 Dax A. Hoffman,5 and X Erik D. Roberson1,2,3 1Center for Neurodegeneration and Experimental Therapeutics, Departments of 2Neurology, 3Neurobiology, and 4Cell, Developmental, and Integrative Biology, University of Alabama at Birmingham, Birmingham, Alabama 35294, and 5Molecular Neuroph...

The lattice Boltzmann method (LBM) is an alternative to the conventional computational fluid dynamic (CFD) methods. It gained popularity due its simplicity in coding and dealing with a complex flow such as multiphase flow. based on kinetic theory, which mesoscopic scale. Hence, applying LBM for macroscopic problems requires proper conversion from physical scale (conventional units) (lattice vic...

Labyrinth spillways are considered as suitable and economic structures because, firstly, their discharge flow rate, under low hydraulic heads, is high, and secondly, they occupy less space. The flow over these spillways is three-dimensional and is influenced by several parameters. This study endeavors to offer a new equation for the calculation of the discharge flow of triangular labyrinth spil...

Subsurface migration of greenhouse gases and other gaseous phase contaminants is predominantly controlled by soil gas diffusion coefficient (Dp) and its variations with soil-air content (ε) and soil moisture (or potential) status. Buckingham (1904) stated that Dp is proportional to ε X with X characterizing the tortuosity and connectivity of air-filled pore space. In the Buckingham model, as we...