(a) Define the following terms : Bernoulli equation, Streak lines, Pa…

Question

(a) Define the following terms :

Bernoulli equation, Streak lines, Path lines, Stream function, Velocity Potential, Rotation and Vorticity. (8)

(b) A velocity potential for a two-dimensional flow is given by the expression $\Phi = x^2 - y^2$. Determine :

(i) Velocity components in the $x$ and $y$ directions. Check whether the velocity components satisfy the conditions of flow continuity and irrotationality. (12)

(ii) Stream function and the flow rate between the stream lines $(1, 0)$ and $(1, 1)$.

(iii) Also show that the stream lines and potential lines meet orthogonally at the point $(1, 1)$.

Related pages

• velocity potential function — topic
• FLUID MECHANICS-I syllabus

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