asymptotically exact and nonlocal third order nonlinear evolution equations are derivedfor two counterpropagating surface capillary gravity wave packets in deep water in thepresence of wind flowing over water.from these evolution equations stability analysis ismade for a uniform standing surface capillary gravity wave trains for longitudinal perturbation. instability condition is obtained and g...

Quarter-power scaling of biological features with body mass is commonly observed in a variety of organisms and is considered a universal law in biology. The origin of the quarter-power scaling law has been proposed to be a universal requirement of a maximized hierarchical network for distributing materials (e.g., oxygen and nutrients) in any organism. We propose a mathematical model for the dev...

INTRODUCTION The microcirculation supplies oxygen (O2) and nutrients to all cells with the red blood cell (RBC) acting as both a deliverer and sensor of O2. In sepsis, a proinflammatory disease with microvascular complications, small blood vessel alterations are associated with multi-organ dysfunction and poor septic patient outcome. We hypothesized that microvascular autoregulation-existing at...

Ganglia, or bubbles, trapped by capillary forces inside porous materials occur in a wide range of subsurface and manufacturing applications. In geologic CO2 storage, ganglia are desired as they render the injected hydrodynamically immobile. But may evolve dissolution mass exchange across brine, called ripening. fuel cells electrolyzers, water/oxygen must be removed to ensure optimal performance...