An analysis has been carried out to obtain the free convective heat and mass transfer characteristics of an incompressible MHD viscoelastic fluid flow immersed in a porous medium of variable permeability bounded by an infinite porous vertical plate in slip flow regime in the presence of a transverse magnetic field with heat source and radiation effects. The permeability of the porous medium dec...

in this work, the precipitation and re-dissolution of asphaltenes were studied for an iranian relatively heavy crude oil. a series of experiments were designed and carried out to quantitatively examine the reversibility of asphaltenes precipitation upon the change in the solvent concentration along with the temperature. n-heptane was used as the precipitant, and a temperature range of 30 to 70°...

The emergence of structure in reactive geofluid systems is of current interest. In geofluid systems, the fluids are supported by a porous medium whose physical and chemical properties may vary in space and time, sometimes sharply, and which may also evolve in reaction with the local fluids. Geofluids may also experience pressure and temperature conditions within the porous medium that drive the...

A degenerate nonlinear nonlocal evolution equation is considered; it can be understood as a porous medium equation whose pressure law is nonlinear and nonlocal. We show the existence of sign changing weak solutions to the corresponding Cauchy problem. Moreover, we construct explicit compactly supported selfsimilar solutions which generalize Barenblatt profiles — the well-known solutions of the ...

The present research examines the joint influence of throughflow and Coriolis force on onset double-diffusive convection with an internal heat source modelled by Darcy’s law. BVP4C routine in MATLAB R2020a is used to solve eigenvalue problem numerically. Critical Rayleigh numbers are obtained for designated values governing parameters. effect parameter, Taylor number, Darcy Peclet number system...

A fractional-order wave equation is established and solved for a space of three dimensions using spherical coordinates. An equivalent fluid model used in which the acoustic propagates only saturating porous medium; this special case Biot’s theory obtained by symmetry Lagrangian (invariance translation rotation). The basic solution time domain analytically calculating Green’s function medium pro...

objective: there is longstanding experimental and clinical evidence that supports the idea that replacement of dopaminergic (daergic) neurons can ameliorate functional disabilities of parkinson’s disease (pd). the purpose of the present study is to examine the efficacy of transplantation of rat bone marrow stromal cell (bmscs)-derived tyrosine hydroxylase-positive (th+) cells induced by depreny...

The bio-thermal convection in a rotating layer of porous medium saturated with Newtonian fluid gyrotactic microorganisms is studied on the basis Darcy–Brinkman model. A linear analysis carried out using Galerkin method for rigid-rigid boundary conditions. In stationary regime, we obtained dispersion equation relation between thermal Rayleigh–Darcy number and bioconvection. influence Peclet numb...

We show that the Euclidean Wasserstein distance between two compactly supported solutions of the one–dimensional porous medium equation having the same center of mass decays to zero for large times. As a consequence, we detect an improved L1–rate of convergence of solutions of the one–dimensional porous medium equation towards well–centered self–similar Barenblatt profiles, as time goes to infi...