GATE XE (Engineering Sciences) 2024 - Question 24

Section: Fluid Mechanics | Marks: 1

Consider the velocities 𝑢, 𝑣, and 𝑤 in x-, y-, and z-directions, respectively. The vorticity expression in the y-z plane is

• A. 𝜕𝑣 𝜕𝑥−𝜕𝑢 𝜕𝑦
• B. 𝜕𝑣 𝜕𝑦−𝜕𝑤 𝜕𝑧
• C. 𝜕𝑤 𝜕𝑦−𝜕𝑣 𝜕𝑧
• D. 𝜕𝑢 𝜕𝑧−𝜕𝑤 𝜕𝑥

Answer: C. 𝜕𝑤 𝜕𝑦−𝜕𝑣 𝜕𝑧