The power consumption can be calculated in zones of constant geometry using the following equation:

$$P_1 = \left\{\int_0^{l_n} \left[C_z^2 + \tan^2(\varphi_s) C_x^2\right]^{\frac{1}{2}} C_z + v_{0x}^{l_n} \left[C_z^2 \cot^2(\theta_G) + C_x\right] + C_x \right\} \frac{|k(T)b(1-y)\Delta z_k}{h} \tag{1}$$

Depending on the value of y a pure melt section, consider equation (1) (y = 0) a melt pool in the melting section (0 < y < 1).

In addition the radial clearance is considered through:

$$P_2 = \frac{K(T_Z)e_{max}\Delta z v_{0z}^{1+n}}{s_R^n} \{1 + \tan^2(\varphi_s)\}^{\frac{n+1}{2}} k \tag{2}$$

Equation (2) assumes a pure drag flow over the radial clearance.