How To Achieve This Effect?

@tylerl71410988 

Try the suggestion from @Myra Ferguson - but instead of oil paint, try the Stylize > Diffuse filter set to Anisotropic mode. The results of this filter are really dependent on resolution and content, so you may need to downsize the image before filtering, and then upsize it back to the original dimensions afterwards. I would recommend a "pyramid” approach where you stack multiple layers with the filtering performed at different resolutions, with graduated layer masks combining them, with possibly lesser filtering applied to the face.

There are some plugins that will get you something like that.  The most obvious is Redfield Fractalius which is a zilian years old and has a very cluncky UI.  Topaz Labs has a couple of plugins that will do this. Clean and Glow. Unfortunately, IO just tried Glow and it was not working.  You could try Oil Paint, but I don't think it will give you that effect.

Try masking out the background of a picture of your dog and adding a solid background on a separate layer below that. Then convert your dog layer to a Smart Object and apply the Oil Paint filter (Filter > Stylize > Oil Paint...). 

If you're not getting good results with it, make sure the resolution of the image isn't too high. You might not see the effect as well.