Abstract
The free convective unsteady fluctuating, MHD flow of electrically conducting viscoelastic dusty fluid in a channel-driven with the impact of oscillating pressure gradient and the motion of the upper plate has been studied in this article. The noteworthy heat generation/absorption has also taken into account, the heat generation established the mechanism of heat transfer by both the momentum of fluid and the motion of dust particle and absorption of heat by the dust particle is because of conduction. The coupled governing partial differential equations are reduced to the ordinary differential equation through the assumed periodic solutions. Analytical solutions for the velocity of the fluid as well as the velocity of dust particles and for energy equation of the fluid and for dust particles are obtained by using Poincare-Light Hill Perturbation Technique. The influence of various parameters of interest is discussed on the velocity and temperature profiles of the fluid and particles. The evolution of fluid-phase and dusty-phase with dual behavior of the magnetic parameter for both boundary layer and free stream velocities has been discussed. The boundary layer velocity decreased with an increase in magnetic parameter, while at the free stream flow, the result is quite opposite. The above result of magnetic field is worthwhile and can be used to control the boundary layer thickness. The current work also concludes that by increasing the Peclet number and concentration of the dust particles retards the boundary layer velocity. Furthermore, various physical parameters like coefficient of heat absorption, concentration of the dust particles, peclet number, magnetic parameter, and temperature relaxation time parameter retard the motion of dusty-phase, while Grashof number enhances the flow of dusty-phase. Other properties of fluid, which have great importance for engineers are, the rate of heat transfer and skin friction. It is shown in Table 1 that by increasing the value of Peclet number from 1 to 2 it increases the rate of heat transfer from 1.3263 to 1.3387. Furthermore, Table 2 shows that by increasing the concentration parameter from 2 to 4 the skin friction increases from 2.3872 to 4.7799.
Highlights
Over the past few decades the researchers are working on multi-phase MHD dusty flows due to its great importance in applications of fluidization, flows in tubes of a rocket, flow of blood in arteries, DPDs, MHD generators, accelerators, electrostatic precipitator and the use of dust in gas cooling systems
Parametric influence for various physical parameters of our interest on the velocity profile of fluid, velocity profile of particles, skin friction and on the rate of heat transfer have been discussed in the current study
As Gr represent the ratio of bouncy to viscous forces, increase of Gr bring an increase in bouncy forces which cause to accelerate the boundary layer velocity, the coefficient of heat absorption φ have the same behavior with boundary layer velocity like Gr, increasing the numerical values of φ the fluid absorb more heat which decreases the viscous forces as a result increase occurs in fluid velocity, while increasing the dusty parameter K, increase occurs in the boundary layer velocity of the fluid
Summary
Over the past few decades the researchers are working on multi-phase MHD dusty flows due to its great importance in applications of fluidization, flows in tubes of a rocket, flow of blood in arteries, DPDs (dusty plasma devices), MHD generators, accelerators, electrostatic precipitator and the use of dust in gas cooling systems. This work unexplored the effect of various physical parameters and heat absorption on the dusty flow of non-Newtonian viscoelastic fluid.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
