Inspiration of Thermophoresis and Brownian Motion on Magneto-hydrodynamic Flow over a Cylinder Fixed with Porous Medium

Nanofluids can be employed in various technical applications, including those in the medical field, the power plant cooling system, computers, and the automotive industry. The present study discusses a mathematical construction of a steady mixed convective incompressible nanofluid flow with impressions of Brownian motion and thermophoresis toward a vertical stretching cylinder. In addition, the influence of the magnetic field and heat source/sink with convective heat transfer is examined. Further, the impact of porous medium is involved for motivation. By using similarity functions, the governing set of nonlinear PDEs is transformed into a system of first-order ODEs. The solution to resulting set of equation is achieved by employing the shooting procedure with help of MATLAB. Numerical solution of various parameters like curvature parameter A , magnetic field M , permeability D , mixed convection parameter, Prandtl number Pr, Lewis number Le, thermophoresis Nt, and Brownian motion parameters Nb has been discussed which impact velocity, concentration, and temperature distribution. Analysis of acquired numerical outcomes is given through tables and graphs. We declared that the velocity curve declined for the developing value of magnetic parameters M and D . The improvement in the values of the magnetic parameter M growth in the temperature distribution.