Abstract
This study elaborates porous medium impact on boundary-layer nanofluid flow by a permeable surface. The Buongiorno's nanofluid model that captures simultaneous attributes of Brownian and thermophoretic diffusions is introduced for modeling and analysis. In addition, magneto-hydrodynamic and radiation aspects are also part of this research. The partial differential equations of considered nonlinear problems are reduced to the ordinary ones by similarity variables. Kellerbox and homotopic algorithms are utilized to solve the nonlinear differential problems. The obtained results from both techniques are compared. Besides, the pertinent parameters are addressed graphically. We witnessed a decay in fluid velocity subjected to an increment in the porosity parameter.