Transient Dynamics of a Porous Sphere in a Linear Fluid
- سال انتشار: 1403
- محل انتشار: دوماهنامه مکانیک سیالات کاربردی، دوره: 17، شماره: 11
- کد COI اختصاصی: JR_JAFM-17-11_001
- زبان مقاله: انگلیسی
- تعداد مشاهده: 111
نویسندگان
Department of Mechanical Engineering, Texas Tech University, Lubbock, TX, ۷۹۴۰۹, USA
Department of Chemical Engineering, Texas Tech University, Lubbock, TX, ۷۹۴۰۹, USA
Department of Chemical Engineering, Texas Tech University, Lubbock, TX, ۷۹۴۰۹, USA
Department of Mechanical Engineering, Texas Tech University, Lubbock, TX, ۷۹۴۰۹, USA
چکیده
This article describes the unsteady translational motion of a porous sphere with slip-surface in a quiescent viscous fluid. Apart from its radius a and density ρs , the particle is characterized by its permeability parameter γ , slip-length l and effective viscosity-ratio ϵ for interior flow. The Reynolds number for the system is assumed to be small leading to negligible convective contribution, though the transient inertia for both the liquid and the solid is comparable to viscous forces. The resulting linearized but unsteady flow-equations for both inside and outside the porous domain are solved in time-invariant frequency domain by satisfying appropriate boundary conditions. The analysis ultimately renders frequency-dependent hydrodynamic friction for the suspended body. The frictional coefficient is computed under both low and high frequency limit for different values of γ, l and ϵ so that the findings can be compared to known results with impermeable surface. Moreover, the parametric exploration shows that the sphere acts like a no-slip body even with non-zero l if aγ ≫ ۱/√ϵ . Scaling arguments from a novel boundary layer theory for flow inside porous media near interfaces explain this rather unexpected observation. Also, computed fluid resistance is incorporated in equation of motion for the particle to determine its time-dependent velocity response to a force impulse. This transient response shows wide variability with ρs, γ, l and ϵ insinuating the significance of the presented study. Consequently, the paper concludes that slip and permeability should be viewed as crucial features of submicron particles if unexpected variability is to be explained in nano-scale phenomena like nano-fluidic heat conduction or viral transmission. Thus, the theory and findings in this paper will be immensely useful in modeling of nano-particle dynamics.کلیدواژه ها
Hydrodynamic friction, Mobility response, Transient motion, Low Reynolds Number flow, Interfacial slipاطلاعات بیشتر در مورد COI
COI مخفف عبارت CIVILICA Object Identifier به معنی شناسه سیویلیکا برای اسناد است. COI کدی است که مطابق محل انتشار، به مقالات کنفرانسها و ژورنالهای داخل کشور به هنگام نمایه سازی بر روی پایگاه استنادی سیویلیکا اختصاص می یابد.
کد COI به مفهوم کد ملی اسناد نمایه شده در سیویلیکا است و کدی یکتا و ثابت است و به همین دلیل همواره قابلیت استناد و پیگیری دارد.