The existing investigations purpose to disclose the interaction effects of transverse magnetic and hydrodynamic flow of Prandtl nanofluid subjected to convective boundary conditions over a vertical heated stretching surface. Developing a fundamental flow model, a boundary layer approximation is done, which yields momentum, concentration, and energy expressions. Moreover, Brownian effect and thermophoresis influence are also taken into the account. The constitutive flow laws of nonlinear (PDEs) is altered into ordinary one via similarity transformation variables. The dimensionless nonlinear systems of (ODEs) are then solved through bvp4c numerical algorithm. Consequences of innumerable flow factors on steam wise velocity, thermal field, and concentration of nanoparticle are explicitly debated and plotted graphically. The drag force coefficient and heat transference rate are assumed and deliberated accordingly. It has been perceived that f higher estimation of thermophoresis parameter upsurges the internal thermal energy of the nanofluid and nanoparticles concentration field.