Exam 6: Dimensional Analysis and Similitude

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$\text {The velocity vector at a point in a fluid flow is given by 5 \mathbf { i } + 12 \mathbf { j }. The unit vector which is }$ $\text {perpendicular to the streamline passing through the point is:}$

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Question 1

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A single bar of soap has a small light attached. The bar is released in a river and a snapshot is taken every second from a blimp which is stationary over the river. The snapshots are all Superimposed on one large picture. The line formed by connecting the dots is:

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$\text {The velocity vector in a particular flow field is given by \mathbf { V } = 2 x ^ { 2 } y \mathbf { i } - 4 y ^ { 2 } x \mathbf { j } \mathrm { m } / \mathrm { s }. The acceleration at $( 1 , - 1 )$ is:}$

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If a sensor were placed in the flow of Problem 4, it would rotate about the z-axis at what angular velocity at (1, −1)?

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Question 4

In a steady flow in a long pipe, such as the Alaska oil pipe line, the Eulerian description of the velocity field would express the velocity V in the pipe as:

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Question 5

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$\text {The velocity vector at a point in a fluid flow is given by 5 \mathbf { i } + 12 \mathbf { j }. The unit vector which is }$ $\text {perpendicular to the streamline passing through the point is:}$

A single bar of soap has a small light attached. The bar is released in a river and a snapshot is taken every second from a blimp which is stationary over the river. The snapshots are all Superimposed on one large picture. The line formed by connecting the dots is:

$\text {The velocity vector in a particular flow field is given by \mathbf { V } = 2 x ^ { 2 } y \mathbf { i } - 4 y ^ { 2 } x \mathbf { j } \mathrm { m } / \mathrm { s }. The acceleration at \(( 1 , - 1 )\) is:}$

If a sensor were placed in the flow of Problem 4, it would rotate about the z-axis at what angular velocity at (1, −1)?

In a steady flow in a long pipe, such as the Alaska oil pipe line, the Eulerian description of the velocity field would express the velocity V in the pipe as:

Basic Considerations

Fluid Statics

Introduction to Fluids in Motion

The Integral Forms of the Fundamental Laws

The Differential Forms of the Fundamental Laws

Internal Flows

External Flows

Compressible Flow

Flow in Open Channels

Flows in Piping Systems

Turbomachinery

Measurements in Fluid Mechanics

Computational Fluid Dynamics

Fluid Dynamics and Aerodynamics

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