The Holy Spirit is the third member of the Godhead. His role is to testify of God and Christ and to share with us messages of love and comfort from them. Feeling the Spirit is a spiritual feeling not a physical one.
Have you ever had a stomach ache from the flu or food poisoning? That is a physical feeling. Have you ever felt “sick” in someone’s presence or “sick” of doing something hard or unsettled about a future event or butterflies in your stomach when you’re afraid of going on stage. These are various “spiritual” feelings. Feeling the Spirit is a feeling that comes to you when you are quiet, introspective and open to ideas.