Solutal Stratification on MHD Water Base Nanofluid Flow over a Porous Vertical Plate

Abstract

This study presents a solutal stratification on Magnetohydrodynamics (MHD) water based nanofluid. The governing nonlinear partial differential equations (PDEs) are modeled and then simplified with the aid of suitable similarity transformations into ordinary differential equations (ODEs). Well known numerical algorithm Runge–Kutta–Fehlberg method of order fourth/fifth is utilized to solve the system. Concrete graphical and table analysis are carried out to investigate the behavior of different pertinent parameters on both velocity ƒ(η) , and concentration φ(η), profile with inclusive discussion. Numerical influence of magnetic field, porous, thermophoresis, Brownian motion, Buoyancy, and suction are also discussed. Due to the mixed effect of permeability of the porous medium and the kinematic viscosity of the nanofluid, it is shown that the velocity of the nanofluid decreases and the concentration of the nanofluid increases with increase in porosity.