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| Radial Drive | Linear drive |
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| LaTeX Math Block |
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| Q^{\downarrow}_{AQ}= B \cdot \int_0^t W_{eD} \left( \frac{(t-\tau)\chi}{r_e^2}, \frac{r_a}{r_e} \right) \dot p(\tau) d\tau |
| | LaTeX Math Block |
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|
q^{\downarrow}_{AQ}(t)= \frac{dQ^{\downarrow}_{AQ}}{dt} |
| LaTeX Math Block |
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| W_{eD}(t, r)= \int_0^{t} \frac{\partial p_1}{\partial r_D} \bigg|_{r_D = 1} dt_D |
| | WeD | p_1 = p_1(t_D, r_D) |
Q^{\downarrow}_{AQ}= B \cdot \int_0^t W_{eD} \left( \frac{(t-\tau)\chi}{r_e^2}, \frac{r_a}{x_e} \right) \dot p(\tau) d\tau |
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| LaTeX Math Block |
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| W_{eD}(t, r)= \int_0^{t} \frac{\partial p_1}{\partial x_D} \bigg|_{x_D = 1} dt_D |
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| LaTeX Math Block |
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| q^{\downarrow}_{AQ}(t)= \frac{dQ^{\downarrow}_{AQ}}{dt} |
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| LaTeX Math Block |
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| p_1 = p_1(t_D, r_D) |
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| LaTeX Math Block |
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| q^{\downarrow}_{AQ}(t)= \frac{dQ^{\downarrow}_{AQ}}{dt} |
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| LaTeX Math Block |
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| p_1 = p_1(t_D, x_D) |
| Radial Drive | Linear drive |
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| LaTeX Math Block |
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| \frac{\partial p_1}{\partial t_D} = \frac{\partial^2 p_1}{\partial r_D^2} + \frac{1}{r_D}\cdot \frac{\partial p_1}{\partial r_D} |
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| LaTeX Math Block |
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| p_1(t_D = 0, r_D)= 0 |
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| LaTeX Math Block |
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| \frac{\partial p_1}{\partial t_D} = \frac{\partial^2 p_1}{\partial x_D^2} |
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| LaTeX Math Block |
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| p_1(t_D = 0, x_D)= 0 |
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| LaTeX Math Block |
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| p_1(t_D, r_D=1) = 1 |
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| LaTeX Math Block |
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| \frac{\partial p_1(t_D, r_D)}{\partial r_D}
\Bigg|_{r_D=r_{aD}} = 0 |
or | LaTeX Math Block |
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| p_1(t_D, r_D = \infty) = 0 |
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| LaTeX Math Block |
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| p_1(t_D, x_D=1) = 1 |
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| LaTeX Math Block |
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| \frac{\partial p_1(t_D, x_D)}{\partial r_D}
\Bigg|_{x_D=x_{aD}} = 0 |
or | LaTeX Math Block |
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| p_1(t_D, x_D = \infty) = 0 |
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