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Lessons In Industrial Instrumentation-16

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3054

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3055

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

3056

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3057

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

3058

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

A.5. GUIDED-WAVE RADAR LEVEL MEASUREMENT

3059

A.5 Guided-wave radar level measurement

The following animation shows how a radio-energy pulse travels down and then up the waveguide of a guided-wave radar level instrument, relating the peaks on an echo curve to the real-world interfaces inside the process vessel.

3060

APPENDIX A. FLIP-BOOK ANIMATIONS

Guided-wave radar level transmitter

Air

Oil

Water

Signal

Time

Received echo waveform plot

A.5. GUIDED-WAVE RADAR LEVEL MEASUREMENT

3061

Guided-wave

 

 

radar level

Pulse generated

Signal

transmitter

 

 

Air

 

 

Oil

 

Time

 

 

Received echo waveform plot

Water

 

 

3062

APPENDIX A. FLIP-BOOK ANIMATIONS

Guided-wave

 

 

radar level

Pulse generated

Signal

transmitter

 

 

Air

 

 

Oil

 

Time

 

 

Received echo waveform plot

Water

 

 

A.5. GUIDED-WAVE RADAR LEVEL MEASUREMENT

3063

Guided-wave radar level transmitter

Air

Oil

Water

Signal

Time

Received echo waveform plot