The first thing you need to focus on when using social media to get new visitors to your blog are your RSS feeds. These are generally built in to your blogging platform. The goal is straight forward. Promote your feed so others will be exposed to your links and hence click through to your site.
In addition you will get back links which will help you with your search engine optimization. One thing to keep in mind when promoting your RSS feed is this, target your audience, don’t promote your feed to those that would not be interested in your content.
When you set up your social media profiles, take the time to optimize them for the search engines. In effect leverage every step you take so you get the maximum benefits. When your profiles are found through search, your social presence can drive new visitors back to your blog.
Now that you are leveraging your social properties you can move to creating groups either on Facebook or Linkedin. When creating groups you want to engage with active users. Remember those who are more active are generally speaking more passionate about what they are discussing.
When the group is set up you can use it to discuss the topic relevant to the content on your blog. Your blog is where you can continue the conversation in more detail. To recap, promote your feed to your target audience, set up social profiles and optimize them, go further and set up groups to engage with active users. Doing all the above will send increasingly targeted traffic to your blog.