Thermal behavior of micropolar nanofluids under different engineering controls and intrinsic polarities is an innovative research domain. These comprise liquid crystals, ferrofluids and blood flows. The micropolar nanofluid model accommodates the fluid characteristics under microscopic influences like rotational inertia and microrotational phenomena. The problem deals with the key influence of dilating/squeezing ( \(\alpha \) ), AA7072 alloys concentration ( \({\phi }_{1}\) ), microrotation parameter ( \({K}_{1}\) ), Reynolds number ( \(\text{Re}\) ), and thermal radiations ( \(\text{Rd}\) ) on the velocity, microrotation and thermal transport in micropolar nanofluid model. The governing laws presenting the flow of micropolar nanofluid in dilating/squeezing channel reduced to the final form using similarity function and then analyzed numerically. For numerical analysis, the coupling of shooting and Runge–Kutta (RK) schemes successfully implemented and furnished the comparative results. The investigation shows that the micropolar nanoliquid flows slowly when the microrotation effects increased. The Reynolds number in the range of \(\text{Re}=\text{2.0,4.0,6.0,8.0}\) significantly increases micropolar fluid velocity. Thermal transport micropolar nanofluid improved, and for weak permeation, these are observed significant near the lower part. The micropolar inertia effects controlled the thermal transport ( \({K}_{1}=\text{1.0,5.0,9.0,13.0}\) ) and \(G(\eta )\) experiences high values for both scenarios of the channel. Moreover, the concentration of AA7072 in the range 0.05–0.20 is observed to be highly resistive. The shear drag increased from 98.29 to 98.33% (expanding walls) and 105.10–105.15% (contracting walls) at the lower wall, while 98.45–98.49% and 105.3–105.38% when the concentration of AA7072 is taken from 2.0 to 8.0%. The expanding walls \(\alpha =\text{0.1,0.3,0.5,0.7}\) and \(Re\) reduce the shear drag at the plates. As far as the rate of thermal transport in micropolar nanofluid concerns, it improves from 6.67 to 6.97% and 6.58 to 6.88% for radiation number in the range of 0.2–0.8.
