Magnetohydrodynamic Flow Of Second Grade Fluid Research Articles

Simulation and modeling of entropy optimized MHD flow of second grade fluid with dissipation effect

Here entropy optimized magnetohydrodynamic flow of second-grade fluid is addressed. The energy equation is developed through Joule heating and dissipation effects. Mass transportation along with an interface between two liquids due to surface tension gradient is called Gibbs–Marangoni effect (Marangoni effect). On the other hand, if there is thermal dependence case, then the phenomenon is called Bénard–Marangoni convection (thermo-capillary convection). Marangoni convection depends upon the difference of surface pressure computed by the gradient of temperature, magnetic effect, and concentration gradients. The basic concept of mass and heat transportation phenomenon in Marangoni boundary layer flow are comprehensively discussed. The physical feature of irreversibility exploration is developed with the help of thermodynamics second law. Here we discussed both first and second laws of thermodynamics. Nonlinear ODE's are obtained through adequate variables. Optimal homotopy analysis method (OHAM) is employed to construct the convergent solutions. Entropy optimization, temperature, Bejan number, concentration, and velocity variations for various secondary parameters are deliberated. Velocity enhances via the Marangoni ratio parameter. For larger Hartmann number the temperature and velocity have a reverse effect. The velocity field is amplifying against second grade fluid variable. A similar effect is noticed versus a larger fluid parameter and Eckert number. For a higher approximation of the Marangoni ratio variable, the concentration reduces. Larger fluid parameter rises the entropy generation rate.

A Novel Design of Three-Dimensional MHD Flow of Second-Grade Fluid past a Porous Plate

In this study, a novel theoretical model for three-dimensional (3D) laminar magnetohydrodynamic (MHD) flow of a non-Newtonian second-grade fluid along a plate of semi-infinite length is developed based on slightly sinusoidal transverse suction velocity. The suction velocity involves a steady distribution with a low superimposed perpendicularly varying dispersion. The strength of the uniform magnetic field is incorporated in the normal direction to the wall. The variable suction transforms the fluidic problem into a 3D flow problem because of variable suction velocity in the normal direction to the plane wall. The proposed mathematical modeling and its dynamical analysis are prescribed for the boundary layer flow keeping the magnetic effects without taking into consideration the induced magnetic field. An analytical perturbation technique is employed for the series solutions of the system of ordinary differential equations of velocity profile and pressure. Graphical illustrations are used to analyze the behavior of different proficient parameters of interest. The magnetic parameter is responsible for accelerating the main flow velocity, while controlling the cross flow velocities.