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Exact(19)
All variables are scaled by the conduit length (h).
However, considering an argument by Slezin (2003) which discussed the critical conduit length in relation to an eruption style, we examined the effect of the conduit length by changing it from 5 to 7 km, before undertaking specific calculations.
The radial and vertical displacements, and the distance from the vent, are expressed by dimensionless forms that are scaled by the conduit length h.
The pressure difference has a maximum, Δp, at z = h – 0.9 × (h – zm0), where h is the conduit length, and linearly decreases with depth.
Tameguri et al. (2004) determined the initial phase of the explosion earthquakes at about 500 m, so we tentatively set the conduit length to be 1000 m.
The scale units are systematically derived from the base units: the reference melt density ρ r, the conduit length h, and the degree of viscous drag ηf/a2.
Similar(41)
When the potential difference is applied across opposing electrodes that face each other, the fluid is propelled along the conduit's length.
The cross shapes are obtained from the computation of the deformation under uniform transmural pressures, without extension, of a thin-walled conduit of infinite length and of homogeneous purely elastic walls of constant thickness.
In order to understand the basic process we first study the problem with a Newtonian fluid and show that the flow characteristics can be very well described by assuming that the flow is analogous to that through a straight conduit of given length.
The influence of Darcy number, Forchheimer number, Grashof number, Hartmann number, geometric scale ratio (conduit radius to length ratio), Eringen parameter (ratio of vortex viscosity to Newtonian viscosity) and heat source/sink parameter on the linear velocity, angular velocity (micro-rotation) and temperature functions are studied in detail.
Xylem anatomy, especially conduit diameter and length, exerts significant control over water flow (Pittermann and Sperry 2003; Pittermann et al. 2011, 2013).
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