How to setup a web app which can handle local data without uploading the data? Use python
The whole point of a web application is that the GUI is written in HTML, CSS, and JavaScript, not Python. However, it talks to a web service, which can be written in Python.
For a well-written desktop app, the transition should be pretty easy. If you've already got a clean separation between the GUI part and the engine part of your code, the engine part will only need minor changes (and maybe stick it behind, e.g., a WSGI server). You will have to rewrite the GUI part for the web, but in a complex app, that should be the easy part.
However, many desktop GUI apps don't have such a clean separation. For example, if you have button handlers that directly do stuff to your model, there's really no way to make that work without duplicating the model on both sides (the Python web service and the JS client app) and synchronizing the two, which is a lot of work and leads to a bad experience. In that case, you have to decide between rewriting most of your app from scratch, or refactoring it to the point where you can web-service-ify it.
If you do choose to go the refactoring route, I'd consider adding a second local interface (maybe using the cmd module to build a CLI, or tkinter for an alternate GUI), because that's much easier to do. Once the same backend code can support your PyQt GUI and your cmd GUI, adding a web interface is much easier.
I have a small python program to help my colleagues to analyse some tsv data. The data is not big, usually below 20MB. I developed the GUI with PyQT. I want to change this desktop program to a web app so my colleagues don't have to upgrade the program every time I change it or fix a bug. They can just go to a website and use Chrome as the GUI. 
So how do I do this? I spend most of my time developing desktop program and just know some basic web developing knowledges. I have read some framework such as flask and web2py, and know how to use HTML and Javascript to make buttons but no clue to achieve my purpose. 
Can someone give me a practical way to do this?
It'd be better if the user don't have to upload the local data to the server. Maybe just download the python code from server then execute in Chrome. Is this possible? 
Thanks.