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Research Paper | Mathematics | India | Volume 10 Issue 9, September 2021
Flow and Heat Transfer in a Non-Newtonian Dusty Fluid with Particle Suspension
Abstract: An analysis is carried out to study the flow and heat transfer characteristics of an non-Newtonian fluid, namely, the upper convected Maxwell (UCM) fluid over a stretching sheet in a porous medium. The stretching velocity and the temperature at the surface are assumed to vary linearly with the distance from the origin. The flow is induced by the infinite elastic sheet which is being stretched in its own plane. Using a similarity transformation, the governing non-linear partial differential equations of the model problem are transformed into coupled non-linear ordinary differential equations and the equations are solved numerically by a second order finite difference implicit method. Comparisons with previously published works are presented as special cases. Furthermore, the effects of the physical parameters on the fluid velocity, the velocity of the dust particle, the density of the dust particle, the fluid temperature, the dust-phase temperature, the skin friction, and the wall-temperature gradient are presented through tables and graphs. One of the important observations is that, Maxwell fluid reduces the wall-shear stress. The results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid phenomena, especially the dusty UCM fluid phenomena.
Keywords: Heat transfer, Porous medium, UCM fluid, dusty fluid, fluid particle interaction, numerical solution, stretching sheet
Edition: Volume 10 Issue 9, September 2021,
Pages: 1696 - 1706