Boundary Layer

Fluid Mechanics - GATE-CH Questions

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GATE-CH-1998-1-9-fm-1mark

1998-1-9-fm

Boundary layer separation is characterized by one of the following conditions given below, where \(\text {Re}\) is the Reynold’s number for flow. Select the appropriate conditions.

\(\text {Re} \ll 1\), accelerating flow
\(\text {Re} \gg 1\), accelerating flow
\(\text {Re} \ll 1\), decelerating flow
\(\text {Re} \gg 1\), decelerating flow

GATE-CH-2000-1-10-fm-1mark

2000-1-10-fm

In the laminar boundary layer flow over a flat plate, the ratio (\(\delta /x\)) varies as: (where \(\delta \) is the boundary layer thickness and \(x\) is the distance from the leading edge in the direction of flow)

Re
\(\sqrt {\text {Re}}\)
1/Re
Re\(^{-1/2}\)

GATE-CH-2008-12-fm-1mark

2008-12-fm

Given a pipe diameter \(D\), the entrance length necessary to achieve fully developed laminar flow is proportional to (\(\text{Re} \) is Reynolds number)

\(D\text{Re} \)
\(D/\text{Re} \)
\(D\text{Re}^2\)
\(D/\text{Re}^2\)

GATE-CH-2012-12-fm-1mark

2012-12-fm

For uniform laminar flow (in the \(x\)-direction) past a flat plate at high Reynolds number, the local boundary layer thickness (\(\delta \)) varies with the distance along the plate (\(x\)) as

\(\delta \propto x^{1/4}\)
\(\delta \propto x^{1/3}\)
\(\delta \propto x^{1/2}\)
\(\delta \propto x\)

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Last Modified on: 02-May-2024

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