# Question 10.14.4: Consider a steady motion of an incompressible viscous fluid ...

Consider a steady motion of an incompressible viscous fluid under a conservative body force. If

$H_{0}=\frac{1}{2}v^2+\frac{p}{\rho}+\chi$                    (10.14.33)

prove the following

(i) $H_{0}$ is constant along the field lines of the vector

$\textbf{f}=(\textbf{v}\times\textbf{w})\times curl\ \textbf{w}$                (10.14.34)

(ii)                            $\textbf{v}.\triangledown H_{0}=v(\triangledown^2 H_{0}-\textbf{w}^2)$                      (10.14.35)

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