GATE AE 2022 • Q15 MCQ • 1 Mark Aerodynamics & Fluid Mechanics

Aerodynamics & Fluid Mechanics

Basic Fluid Mechanics

Subtopic: Incompressible Potential Flow & Stream Functions

Question Statement:

Consider a two-dimensional potential flow over a cylinder. If the freestream speed is $U_\infty$, the maximum speed on the cylinder surface is:
Question figure for GATE AE 2022 Q15

Scientific schematic diagram reproduced from official IIT paper

Options:

  • (A) $\frac{U_\infty}{2}$
  • (B) $\frac{3U_\infty}{2}$
  • (C) $2U_\infty$
  • (D) $\frac{4U_\infty}{3}$

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2022 Q.15)** **1. Tangential Surface Velocity on a Non-Lifting Circular Cylinder**: In inviscid potential flow past a circular cylinder of radius $R$: $$v_\theta = -U_\infty \left(1 + \frac{R^2}{r^2}\right) \sin\theta$$ On the cylinder surface ($r = R$): $$v_\theta = -2 U_\infty \sin\theta$$ **2. Maximum Velocity**: Maximum speed occurs at the shoulder points $\theta = 90^\circ, 270^\circ$ where $|\sin\theta| = 1$: $$V_{\max} = 2 U_\infty$$ - **Official Answer Key**: **C**
← Previous (Q14) All 2022 Questions Next (Q16) →

Related Basic Fluid Mechanics Solved Questions

View All Basic Fluid Mechanics PYQs →
GATE AE 2026 Q13 MCQ • 1M

The following equation with respect to $\phi$(x, t), where a is a non-zero constant, represents ________. $\partial \phi \partial$t + a $\partial \phi \partial$x = 0

GATE AE 2026 Q15 MCQ • 1M

In fluid dynamics, d'Alembert's paradox refers to which one of the following?

GATE AE 2026 Q19 MCQ • 1M

The velocity potential function ($\phi$) given below represents which one of the following? $\phi$ = 5x - 12y

GATE AE 2026 Q47 MSQ • 2M

Consider the flow over an oval modeled using the elementary potential flows as shown below. U represents uniform flow velocity and $\Gamma$ represents circulation around an irrotational line vortex. Which of the following statements is/are TRUE for this model?

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test