A mathematical model based on viscoelastic fluid (fractional Oldroyd-B model) flow is considered for the peristaltic flow of chyme in small intestine, which is assumed to be in the form of an inclined cylindrical tube. The peristaltic flow of chyme is modeled more realistically by assuming that the peristaltic rush wave is a sinusoidal wave, which propagates along the tube. The governing equati...

Abstract The purpose of this work is to study an example of low Mach (Froude) number limit of compressible flows when the initial density (height) is almost equal to a function depending on x. This allows us to connect the viscous shallow water equation and the viscous lake equations. More precisely, we study this asymptotic with well prepared data in a periodic domain looking at the influence ...

A long, smooth cylinder is dragged through a water surface to create a cavity with an initially cylindrical shape. This surface void then collapses due to the hydrostatic pressure, leading to a rapid and axisymmetric pinch-off in a single point. Surprisingly, the depth at which this pinch-off takes place does not follow the expected Froude(1/3) power law. Instead, it displays two distinct scali...

Free-surface flow past a disturbance at critical Froude number is commonly found to be unsteady with complex wave patterns both upstream and downstream of the disturbance. Such flows can be undesirable as the waves that are generated can have a negative impact in applications including the erosion of waterway banks and energy loss through wave drag on a ship. This motivates us to develop a new ...

In this study we consider the unsteady separated flow of an inviscid fluid (density ρf ) around a falling flat plate (thickness T , half-chord L, width W , and density ρs) of small thickness and high aspect ratio (T L W ). The motion of the plate, which is initially released from rest, is unknown in advance and is determined as part of the solution. The flow solution is assumed two-dimensional ...

where subscripts 1 and 2 refer to the upstream and downstream flow conditions, respectively; F Froude number; F=V / gd; d and V flow depth and velocity, respectively; and g=gravity acceleration. The hydraulic jump is typically classified in terms of its inflow Froude number F1=V1 / gd1, which must be greater than unity Bélanger 1828; Henderson 1966 . For F1 slightly above unity, the hydraulic j...