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The best option is to instruct the user how to disable mobile data for the duration of the trip. While this is disabled they cannot access the internet using their cellular connection but could still use WiFi, Bluetooth, etc. This is supported by all major smart phone operating systems. Mobile data may also be referred to as cellular data.
Wikipedia
Airplane mode (also known as aeroplane mode, flight mode, offline mode, or standalone mode) is a setting available on smartphones and other portable devices. When activated, this mode suspends the device's radio-frequency (RF) signal transmission technologies (i.e., Bluetooth, telephony and Wi-Fi), effectively disabling all analog voice, and digital data services, when implemented correctly by the electronic device software author.
The mode is so named because most airlines prohibit the use of equipment that transmit RF signals while in flight. Typically, it is not possible to make phone calls or send messages in airplane mode, but some smartphones allow calls to emergency services. Most devices allow continued use of email clients and other mobile apps to write text or email messages. Messages are stored in memory to transmit later, once airplane mode is disabled.
Wi-Fi and Bluetooth can be enabled separately while the device is in a pseudo-airplane mode, as allowed by the operator of the aircraft. Receiving RF signals (as by radio receivers and satellite navigation services) may not be inhibited by airplane mode; however, both transmitters and receivers are needed to receive calls and messages, even when not responding to them.
Since a device's transmitters are shut down when in airplane mode, the mode reduces power consumption and increases battery life.
Airplane_mode - Wikipedia, the free encyclopedia