\[u=\frac{\text{as}}{\left(1-\alpha t\right)}f^{{}^{\prime}}\left(\eta\right),\ \ v=-\frac{R}{r+R}\sqrt{\frac{\text{νa}}{\left(1-\alpha t\right)}}f\left(\eta\right),\ \ \eta=\sqrt{\frac{a}{\nu\left(1-\alpha t\right)}}r,\ \ \] \[T=T_{w}+\frac{T_{0}\theta\left(\eta\right)}{\left(1-\alpha_{0}t\right)^{2}}\]
(8)