With further increases the plasma channel radius, the acceleration gradient tendency to constant level.
Second, constraints of minimum curvature radius, tangent acceleration and velocity are addressed to design the suboptimal T S Bezier curve.
A tentative scheme that starts from flame/piston speed history solving was adopted, and the flame/piston radius and acceleration history will be obtained subsequently.
As shown in this figure, by the modest increment in plasma channel radius, the acceleration gradient increases as the modest reduction in the size of proton bunch [35].
This is due to particles at small radii, whose acceleration is small, because the pair-wise forces with other particles mostly cancel out, while the (round-off) errors accumulate.
Gravity is assumed to vary linearly with radius; g o is acceleration at the top of the fluid shell.
Finally, m, g and ρ denote respectively the mass of the limb, the gravitational acceleration and the radius drawn from the axis of rotation to the gravity vector.
The first formula, α= at/r, can be used if the tangential acceleration and the radius are given.
In the present study, determinations of these parameters were based on the height of the acceleration region, core-radius interface along the riser height, and most importantly the agreement of the calculated mean fluid residence time through the reactor/module network and the experimental mean residence time of oil vapor through the riser (since conversion proceeds with residence time in a riser).
But the radius does not influence the vertical acceleration significantly.
No significant difference is shown between the curves of acceleration according to different radius is shown in Fig. 8.
