Aql (intellect) is a matter of the heart.
almost everywhere feelings precedes thinking. it's the feelings that generate thoughts.
IN THE QURAN affairs of the heart are mainly three. reason (Aql), reflection (tadabbur) and understanding (fiqh).
[ SEE (22:46) for reason, (47:24) for reflection and (6:25), (7:179), (9:87) for understanding ]. in an islamic perspective, the heart covers a wider scope. as it includes thinking, soul, and consciousness in it depending on the context it is used. the importance given to heart (Qalb) in the quran and sunnah is very much evident.
Allah, the exalted said in the quran;
But only one who comes to Allah with a sound heart (26:89)
our beloved prophetﷺ said;
Verily Allah does not look to your bodies nor to your faces but He looks to your hearts [muslim]
SCHOLARS have explored this subject extensively. as you have mentioned your interest, i will provide what i have come across and what i find most relevant to the question you have asked, in sha Allah.
Ibn Taymiyyah was one scholar who has written much on Aql. from the many works of the great sheikh i recommend : Risalah Fil-Ruh wal-Aql
Imam Al-Ghazali presented his perspective in ihya ulum al-din and this work has been published in english by Mohammad Muneer'Din Olodo Al-Shafi as : the concept of the intellect (al-aql)
another one worthy to mention here is : On Ruh, Nafs, Qalb and Aql : creation of ruh, nafs, qalb and aql, their behaviours by Al-Kafi
may Allah the mighty and sublime grant us mercy and guide us to the straight path.
Allah knows best