npm i busboy azure-storage --save

In your Express Generator app/controllers/home.js: (Note that this is just a basic example without login)

    ...
    const Busboy = require('busboy');
    const blobStorage = require('../services/blobStorage');
    ...
    router.post('/upload', function(req, res) {

        var busboy = new Busboy({ headers: req.headers });

        busboy.on('file', function(fieldname, file, filename, encoding, mimetype) {
            blobStorage.saveToBlob(filename, file, function(err, result){
            if(err) {
                res.setEncoding(500, err);
            } else {
                res.redirect('/show?name=' + encodeURI(filename));
            }
            });
        });
        req.pipe(busboy);
        });

    router.get('/show', function (req, res) {
        res.render('show', {
            name: req.query.name,
            url: blobStorage.getUrl(req.query.name)
        });
    });

In blobStorage.js | Note, you should not hardcode your details like this, they should be retrieved from Azure directly.

    process.env['AZURE_STORAGE_ACCOUNT'] = 'your-storage-name';
    process.env['AZURE_STORAGE_ACCESS_KEY'] = 'your-storage-access-key';

    var azure = require('azure-storage');
    var blobService = azure.createBlobService();
    var images = 'images';

    function saveToBlob(name, stream, cb) {

        // cb is callback
        stream.pipe(blobService.createWriteStreamToBlockBlob(images, name, cb));
    }

    function getUrl(name) {

        var startDate = new Date();
        startDate.setMinutes(startDate.getMinutes() - 15);

        var expiryDate = new Date(startDate);
        expiryDate.setMinutes(startDate.getMinutes() + 30);

        var permissions = azure.BlobUtilities.SharedAccessPermissions.READ;

        var sharedAccessPolicy = {
            AccessPolicy: {
            Permissions: azure.BlobUtilities.SharedAccessPermissions.READ,
            Start: startDate,
            Expiry: expiryDate
            },
        };

        var sasToken = blobService.generateSharedAccessSignature(images, name, sharedAccessPolicy);

        return blobService.getUrl(images, name, sasToken);
    }

    module.exports = {
        saveToBlob: saveToBlob,
        getUrl: getUrl
    };

In your .pug form

    form(action="/upload", method="post", enctype="multipart/form-data")
        input(type="file", name="image")
        button(type="submit", value="Upload") Upload photo

In your .pug redirected page

    p Showing #{name}
    img(src=url)