When attacked by predators, flatfishes perform fast-starts that result in a rapid take-off from the ocean bottom on which they lie. High-speed video recordings of the blind side of flatfishes indicate that they expel a coherent jet of water from the blind-side opercular valve during take-off. Buccal pressure recordings in winter flounder (Pseudopleuronectes americanus) show that a buccal pressu...

The unidirectional oscillating flow of a viscoelastic fluid with the fractional Maxwell model is studied. The flow is produced by a periodic pressure gradient in an infinite straight pipe. Exact solutions are obtained in the time and frequency domains by using Fourier transform. The fractional Maxwell model exhibits resonance phenomena similar to that of the Maxwell model. However, the number o...

This paper presents a fractional mathematical model of a one-dimensional phase-change problem (Stefan problem) with a variable latent-heat (a power function of position). This model includes space–time fractional derivatives in the Caputo sense and time-dependent surface-heat flux. An approximate solution of this model is obtained by using the optimal homotopy asymptotic method to find the solu...

Due to the mathematical complexity of the Boltzmann equation for inelastic hard spheres, a kinetic model has recently been proposed whereby the collision rate (which is proportional to the relative velocity for hard spheres) is replaced by an average velocity-independent value. The resulting inelastic Maxwell model has received a large amount of recent interest, especially in connection with th...

The mathematical model of the movement of the shoreline in a sedimentary ocean basin (A Shoreline Problem) is a Stefan problem with variable latent heat. Swenson et al. [1] utilized an analogy with one-phase melting problem and developed a mathematical model for movement of shoreline in a sedimentary basin in response to changes in sediment line flux, tectonic subsidence of Earth's crust and se...

Abstract The lifetime of tungsten cathodes used in plasma spray torches is limited by processes leading to a loss cathode material. It was reported the literature that mechanism their erosion evaporation. A model ionization layer developed study diffusive transport evaporated atoms and ions produced due electron impact background argon plasma. shown Stefan–Maxwell equations do not reduce Fick l...