The influence of a variable diffusion coefficient on the gravitational instability at the interface between two variable viscosity fluids in a vertical capillary tube is investigated, based on the three-dimensional Stokes equations. As the viscosity contrast between the fluids grows, the maximum density gradient of the self-similar base concentration profile increases while its location is shif...

This paper investigates the influence of the effect of viscous dissipation and radiation on natural convection heat transfer from vertical flat plate in a non-Darcy porous media saturated with non-Newtonian fluid of variable viscosity. The wall and the ambient medium are maintained at constant but different levels of temperature. The Ostwald–de Waele power law model is used to characterize the ...

Gravity current theory has applications to any geophysical phenomena involving the spreading of fluid on a horizontal interface. Many geological gravity currents (e.g., lava flows and mantle plume heads) are composed of cooling fluid with temperature-dependent viscosity. An axisymmetric gravity current theory accounting for these thermo-viscous effects is thus presented and explored here. Unlik...

In this article, we study the effect of variable viscosity on the flow and vortex instability of non-Darcian free convection boundary layer flow on a horizontal surface in a saturated porous medium. The wall temperature is a power function of the distance from the origin. The variation of viscosity is expressed as an exponential function of temperature. The transformed boundary layer equations,...

The effects of uncertainties in the gas-surface interaction and intermolecular interaction models on the hypersonic boundary layer development are investigated using the non-intrusive generalized polynomial chaos method. In particular, uncertainties in the surface shear stress, normal stress, heat flux, flowfield temperature and density resulting from uncertain viscosity exponent, surface tempe...

The present investigation draws scholars' attention to the effect of exponential variable viscosity modeled by Vogel and variable permeability on stagnation point flow of Carreau Nanofluid over an electromagnetic plate through a porous medium. Brownian motion and thermophoretic diffusion mechanism are taken into consideration. An efficient fourth-order RK method along with shooting technique ar...