Thermal dispersed homogeneous‐heterogeneous reaction within MHD flow of a Jeffrey fluid in the presence of Newtonian cooling and nonlinear thermal radiation

Abstract In this article, heat transfer with nonlinear thermal radiation on sinusoidal motion of magnetic solid particles in a dust Jeffrey fluid has been studied. The effects of Magnetohydrodynamic (MHD) and hall current are also taken under consideration. The governing equation of motion and energy equation are modelled with help of Ohms law for fluid and dust phases. The solutions of the resulting ordinary coupled partial differential equations are solved analytically. The impact of all the physical parameters of interest such as Hartmann number, slip parameter, Hall parameter, radiation parameter, Prandtl number, Eckert number and particle volume fraction are demonstrated mathematically and graphically. Trapping mechanism is also discussed in detail by drawing contour lines. The present analysis affirms many interesting behaviours, which permit further study on solid particles motion with heat and mass transfer.

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Nanofluid flow with autocatalytic chemical reaction over a curved surface with nonlinear thermal radiation and slip condition

Scientific Reports ◽

10.1038/s41598-020-73142-9 ◽

2020 ◽

Vol 10 (1) ◽

Author(s):

Muhammad Ramzan ◽

Abida Rafiq ◽

Jae Dong Chung ◽

Seifedine Kadry ◽

Yu-Ming Chu

Keyword(s):

Thermal Radiation ◽

Chemical Reaction ◽

Heterogeneous Reaction ◽

Concentration Field ◽

Curvilinear Coordinates ◽

Curved Surface ◽

Nonlinear Thermal Radiation ◽

Conductivity Enhancement ◽

Governing System ◽

Curvature Parameter

Abstract The study of nanofluids is the most debated subject for the last two decades. Researchers have shown great interest owing to the amazing features of nanofluids including heat transfer and thermal conductivity enhancement capabilities. Having such remarkable features of nanofluids in mind we have envisioned a mathematical model that discusses the flow of nanofluid comprising Nickel-Zinc Ferrite-Ethylene glycol (Ni-ZnFe2O4–C2H6O2) amalgamation past an elongated curved surface with autocatalytic chemical reaction. The additional impacts added to the flow model are the heat generation/absorption with nonlinear thermal radiation. At the boundary, the slip and the convective conditions are added. Pertinent transformations are affianced to get the system of ordinary differential equations from the governing system in curvilinear coordinates. A numerical solution is found by applying MATLAB build-in function bvp4c. Graphical illustrations and the numerically computed estimates are discussed and analyzed properly. It is comprehended that velocity and temperature distributions have varied trends near and away from the curve when the curvature parameter is enhanced. Further, it is comprehended that the concentration field declines for both homogeneous and heterogeneous reaction parameters.

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Effect of Nonlinear Thermal Radiation on 3D Jeffrey Fluid Flow in the Presence of Homogeneous–Heterogeneous Reactions

International Journal of Engineering Research in Africa ◽

10.4028/www.scientific.net/jera.21.52 ◽

2015 ◽

Vol 21 ◽

pp. 52-68 ◽

Cited By ~ 16

Author(s):

C.S.K. Raju ◽

N. Sandeep ◽

M. Gnaneswara Reddy

Keyword(s):

Thermal Radiation ◽

Mass Transfer Rate ◽

Three Dimensional ◽

Dual Solutions ◽

Heterogeneous Reactions ◽

Jeffrey Fluid ◽

Nonlinear Thermal Radiation ◽

Friction Factors ◽

Source Sink ◽

Shrinking Surface

In this study, we analyzed the effects of nonlinear thermal radiation on three-dimensional flow of Jeffrey fluid past a stretching/shrinking surface in the presence of homogeneous-heterogeneous reactions, non-uniform heat source/sink and suction/injection. The transformed governing equations are solved numerically using Runge-Kutta based shooting technique. We obtained good accuracy of the present results by comparing with the exited literature. The influence of dimensionless parameters on velocity, temperature and concentration profiles along with the friction factors, local Nusselt and Sherwood numbers are discussed with the help of graphs and tables. We presented dual solutions for the flow over a stretching and shrinking surfaces and found that dual solutions exist only for certain range of stretching/shrinking parameter. It is also found that the heat and mass transfer rate on the flow over a stretching surface is high while compared with the flow over a shrinking surface.

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