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GATE 2019: Fluid Mechanics Quiz 11

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Question 1

A fluid having the viscosity of 0.048Pa-sec is flowing inside a glass-tube of diameter 10cm with a velocity of 40m/s, as observed at an instant t.At this instant, a drop of blue ink is injection in the tube. Then which of the following holds? $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\07_Fluid-Mechanics_BLok_files\image009.png$

Question 2

The thickness of the boundary layer for a fluid flowing over a flat plate at a point 20 cm from the leading edge is found to be 4 mm. The Reynolds number at the point (adopting 5 as the relevant constant) is:

Question 3

The velocity profile inside the boundary layer for flow over a flat plate is given as

, where

is the free stream velocity and

is the local boundary layer thickness. If

is the local displacement thickness, the value of

Question 4

Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of 0.25 m from the leading edge of the plate is 8 mm, the boundary layer thickness (in mm), at a distance of 0.75 m, is _______

Question 5

For air flow over a flat plate, velocity (U) and boundary layer thickness (δ) can be expressed respectively, as
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image204.png$
If the free stream velocity is 2m/s, and air has kinematic viscosity of 1.5×10^-5 m2/s and density of 1.23 kg/m³, the wall shear stress at x = 1m, is

Question 6

What is the ratio of displacement thickness to boundary layer thickness for a linear distribution of velocity

in the boundary layer on a flat plate, where δ is the boundary layer thickness and u_∞is the free steam velocity?

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ESE & GATE ME Fluid Mechanics & Machinery

Oct 16ESE & GATE ME