LAUSR

Abstract In this investigation, the radiative impact on S i O 2 water-based nanoliquid flowing past a stretching surface via porous media is investigated. The thermal radiation and heat source-sink are also considered. The effects of shape factors namely brick, sphere, platelet, and cylinder with various parameters against velocities and thermal field have been investigated. The mathematical related is obtained in forms of partial differential equations with suitable boundary constraints. Modeled PDEs are changed to ODEs by incorporating appropriate similarity-variables. The numerical and graphical outcomes for flow and thermal transport are accomplished by using bvp4c solver (shooting algorithm) in MATLAB tool. The consequences of dimensionless arising prominent parameters against velocity and thermal distributions are discussed. Furthermore, the effects of physical flow parameters like 0.1 ≤ K ≤ 1.5 , 0.1 ≤ K c ≤ 1.5 , 0.1 ≤ K v s ≤ 1.5 , 1.2 ≤ P r ≤ 4.0 , 0.5 ≤ L e ≤ 2.0 , 0.1 ≤ R d ≤ 1.2 , 0.1 ≤ Q ≤ 1.2 and 0.01 ≤ φ ≤ 0.09 on thermal and velocity distributions are graphically examined. The physical significance of flow numbers as they affected transport profiles is visually displayed and supported by the physical-reasons.