**4. Non-Dimensionalization through Similarity Transformation**

By making use of similarities, transformation is achieved by

$$\eta = \sqrt{\frac{a}{v\_f}} \text{ y, } \vec{u} = a x f'(\eta), \text{ } \vec{v} = -(a v\_f)^{\frac{1}{2}} f(\eta), \text{ } \theta = \frac{\vec{T} - T\_{\infty}}{T\_{\omega} - T\_{\infty}} \tag{12}$$
