Response time of a diffusion sampler under unsteady-state.

Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition

‎In the present paper we consider a time-fractional inverse diffusion problem‎, ‎where data is given at $x=1$ and the solution is required in the interval $0

Optimal asset control of the diffusion model under consideration of the time value of ruin

‎In this paper‎, ‎we consider the optimal asset control of a financial company which can control its liquid reserves by paying dividends and by issuing new equity‎. ‎We assume that the liquid surplus of the company in the absence of control is modeled by the diffusion model‎. ‎It is a hot topic to maximize the expected present value of dividends payout minus equity issuance until the time of ba...

UNSTEADY CONVECTIVE DIFFUSION IN A HERSCHEL–BULKLEY FLUID IN A CONDUIT WITH INTERPHASE MASS TRANSFER

The combined effect of non-Newtonian rheology and irreversible boundary reaction on dispersion in a Herschel-Bulkley fluid through a conduit (pipe/channel) is studied by using generalized dispersion model. The study explains the development of dispersive transport following the injection of a tracer in terms of three effective transport coefficients namely exchange, convective and dispersion co...

Unsteady-State Modeling of the Fluidized Bed Polyethylene Reactor

Modeling of Unsteady-State Cake Formation on a Fracture in Produced Water Re-Injection Process (PWRI)

In petroleum production, Produced Water Re-Injection (PWRI) has earned much interest among disposal methods of the produced water. However, presence of the contaminants in the produced waters usually results in formation damage in well bores and their surrounding fracture systems. In the present study, modeling of external cake formation on a fracture in unsteady-state conditions i...