In continuum mechanics and thermodynamics, a control volume (CV) is a mathematical abstraction employed in the process of creating mathematical models of physical processes. In an inertial frame of reference, it is a fictitious region of a given volume fixed in space or moving with constant flow velocity through which the continuuum (a continuous medium such as gas, liquid or solid) flows. The closed surface enclosing the region is referred to as the control surface.[1]

At steady state, a control volume can be thought of as an arbitrary volume in which the mass of the continuum remains constant. As a continuum moves through the control volume, the mass entering the control volume is equal to the mass leaving the control volume. At steady state, and in the absence of work and heat transfer, the energy within the control volume remains constant. It is analogous to the classical mechanics concept of the free body diagram.


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Typically, to understand how a given physical law applies to the system under consideration, one first begins by considering how it applies to a small, control volume, or "representative volume". There is nothing special about a particular control volume, it simply represents a small part of the system to which physical laws can be easily applied. This gives rise to what is termed a volumetric, or volume-wise formulation of the mathematical model.

One can then argue that since the physical laws behave in a certain way on a particular control volume, they behave the same way on all such volumes, since that particular control volume was not special in any way. In this way, the corresponding point-wise formulation of the mathematical model can be developed so it can describe the physical behaviour of an entire (and maybe more complex) system.

In continuum mechanics the conservation equations (for instance, the Navier-Stokes equations) are in integral form. They therefore apply on volumes. Finding forms of the equation that are independent of the control volumes allows simplification of the integral signs. The control volumes can be stationary or they can move with an arbitrary velocity.[2]

I would like to be able to set three custom keyboard shortcuts to be able to decrease, increase and mute the volume in Ubuntu 12.04 (Unity). On my old Ubuntu 10.04 (Gnome) system I made CTRL + [, CTRL + ] and CTRL + \ my commands to achieve this.

If instead you want to have multiple key bindings controlling the volume (like to keep the default volume buttons on your laptop working, while adding additional keyboard shortcuts to use when you connect an external keyboard that does not have volume controls), then:

Before updating to tvOS 16 I was able to control the volume of my stereo with the Apple TV remote. After the update to 16, the volume control and mute stopped working. I can't be certain that it was due to the update, but the timing seems to coincide.

The light on the Apple TV flashes when I press the volume and mute button on the Apple TV remote, but there is no volume change. The Apple TV and stereo are sitting next to each other and there is no obstruction. The remote battery power is 89%.

In other words, I spent $60 on a new Siri remote and the freaking thing does not even control the TV volume anymore, so I find myself having to get up and change the volume on the TV manually. You had one job $60 Apple remote... one job!!

To clarify, I am talking about LG TV (in my case OLED 55GX6) using ARC port (and eARC enabled) straight in to the HDMI port of the ARC, and specifically about the issue with loss of volume control from the Magic remote, and occasionally leading to loss of sound.

I was able to get our system fixed by unplugging HDMI cables using Glens recommendation above but alas, the problem is back. I unplugged all cables from the TV but the remote will still not control the volume anymore. Anyone else having issues recently?

Same issue here. LG OLED65c1AUP. Universal Remote says Sonos is set up, shows volume + and minus, but no actual change in volume in Sonos Arc. Sonos app says there is an issue with HDMI and if I go through the fix steps it guides me through, I get an error message that CEC is not on while it is on.

Ya..pretty ridiculous Arc connects setup like a champ.volume control on lg 2021 c1 magic remote controls volume on arc for a few min..then bam..gone..I see the volume symbols as well on tv..bit no control all of a sudden .Tried everything on the forum..etc...

My apologies..I think it's an lg thing..my firestick remote will control the volume regardless of what i plug into hdmi..but magic remote will stop adjusting the volume once i plug my firestick in..weird

I have an LG C9 + ARC in another room and that works just fine. When I power up the C9 I get a momentary green light on the ARC and it then all works fine. With the CX I do not get a green light on the ARC on power on - but I do get sound from the ARC - however there is no volume or mute control of the ARC - the screen shows that the remote is asking for changes but there are none.

Oh my goodness, I was about to pull my hair out (the little I have left) with an issue similar to yours. After reading this, I noticed I had 2 unused HDMI cables plugged into my HDMI 3 and HDMI 4 ports, I unplugged them, tried adding my LG CX to my Beam Gen 2 in the Sonos app and it magically worked and I can now use my LG magic remote to control volume again. So dumb!

I just set up my second Chromecast w/ Google TV (what a mouthful), and I'm having some difficulty with volume control, specifically via the Google Home app. Everything's working just fine via the remote (can control power, volume, and inputs), but via the Google Home app, I keep getting a message "To control this device's volume with your phone, displays, or Assistant, change your Chromecast settings on your TV." At the same time, on the display, I see a pop-up that says "Use a remote to adjust the volume. See Chromecast settings on this TV for more options."

There doesn't appear to be a "Chromecast" section anywhere under Settings, but I did find a "Cast" section that didn't have any relevant controls. I double checked my remote settings, and sure enough, "Volume control" is set to "Auto (CEC)," which should allow volume to be controlled via Google Home.

PRE-EDIT: I just tested again with my first CCWGTV, and I guess CEC doesn't work for that one either. I could've sworn it was working, but whatever. It still doesn't make sense why I can control power over CEC and not volume.

EDIT: I think I just realized why this doesn't work: the Google Home app only lets you control volume in terms of percentage, it doesn't let you just "turn up" or "turn down" the volume without knowing its current value. I bet that CEC doesn't let the CCWGTV read the volume level, so Google Home can't let you control it. Very frustrating, but a simple workaround would be to just add more simplified "volume up/volume down" interface for CEC-controled audio.

I can just agree. I just had a really terrible zoom meeting, where one person was very quiet or her sound was not adjusted properly/wrong sound input chosen, and i constantly had to change the volume if she said something. Otherwise I could have chosen between ignoring here or hearing the others screaming.

Absolutely agreed, since 5.0.3 was released, we have been really struggling to do our weekly music show in Zoom, and it has interfered with our professional meetings. An audio mixer, or some sort of audio control interface would be a huge hit, and is urgently needed.

If I start my computer I can hear sound with my bluetooth headset and I can control the volume/mute the sound. But often, if I reconnect the bluetooth headset without restarting computer, I loose control of the volume. The actual volume coming from the headset is suddenly fixed at one level.

this probleme occurs in Windows 8. i suggest you :once the device is paired, right click on the volume icon in system tray, then select "playback devices". in the pop up window, do you see your Bluetooth headset listed? if so, select it, then click the "set default" button. audio should get re-routed to the headset itself. if not, look around in that window. there may be other options. you can click on properties for said device, configure, etc.

This does not always work but you try it. In Windows 10, go to Control Panel->Devices and Printers. Look for your Bluetooth headset listed under the Devices category, right click on it and select "Control". This brings up the "Bluetooth Device Control" screen. On it is a button labeled "Connect". Click the Connect button and you will then be able to see that the volume control is now connected to your headphones. This procedure works best for me if I already have another device, like my phone, playing music, turn on the headphones so they connect to the phone and play through the headphones, turn off the playback, and then click the "Connect" button on the PC.

I just purchased a Mac Studio with an LG 38WK95C-W monitor. The reason I purchased this monitor was because I thought it worked well with Apple computers. I get no volume control or brightness either.

The monitor is plugged in with the thunderbolt connection. I thought they worked with LG? Can someone please help me with a solution so I don't have to return my monitor. Though there isn't another solution, is there? I don't want an Apple monitor, so I'm basically handcuffed to never adjusting the volume? e24fc04721

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