You can use NetEm (Network Emulation) as a proxy server to emulate many network characteristics (speed, delay, packet loss, etc.). It controls the networking using iproute2 package and it's enabled in the kernel of most Linux distributions.
It is controlled by the tc
command-line application (from the iproute2 package), but there are also some web interface GUIs for NetEm, for example PHPnetemGUI2.
The advantage is that, as I wrote, it can emulate not only different network speeds but also, for example, the packet loss, duplication and/or corruption, random or defined delay, etc., so apart from the slow connections, you can also emulate various poorly performing networks and transmission errors.
For your application it's absolutely transparent, you can configure the operating system to use the NetEm as a proxy server, so all connections from that machine will be routed through it. Or you can configure only a specific application to use that proxy.
I have been using it to test the performance of an Android app on various emulated poor-performance networks.