Electro-magneto-hydrodynamics Flows of Burgers Fluids in Cylindrical Domains with Time Exponential Memory
- سال انتشار: 1398
- محل انتشار: مجله مکانیک کاربردی و محاسباتی، دوره: 5، شماره: 4
- کد COI اختصاصی: JR_JACM-5-4_001
- زبان مقاله: انگلیسی
- تعداد مشاهده: 345
نویسندگان
Department of Computer Science and Engineering, Air University Multan, Abdali Road, Multan, ۶۰۰۰۰, Pakistan
Abdus Salam School of Mathematical Sciences, GC University Lahore, ۶۸-B, New Muslim Town, Lahore, ۵۴۶۰۰, Pakistan
چکیده
This paper investigates the axial unsteady flow of a generalized Burgers’ fluid with fractional constitutive equation in a circular micro-tube, in presence of a time-dependent pressure gradient and an electric field parallel to flow direction and a magnetic field perpendicular on the flow direction. The mathematical model used in this work is based on a time-nonlocal constitutive equation for shear stress with time-fractional Caputo-Fabrizio derivatives; therefore, the histories of the velocity gradient will influence the shear stress and fluid motion. Thermal transport is considered in the hypothesis that the temperature of the cylindrical surface is constant. Analytical solutions for the fractional differential momentum equation and energy equation are obtained by employing the Laplace transform with respect to the time variable t and the finite Hankel transform with respect to the radial coordinate r. It is important to note that the analytical solutions for many particular models such as, ordinary/fractional Burgers fluids, ordinary/fractional Oldryd-B fluids, ordinary/fractional Maxwell fluids and Newtonian fluids, can be obtained from the solutions for the generalized fractional Burgers fluid by particularizing the material coefficients and fractional parameters. By using the obtained analytical solutions and the Mathcad software, we have carried out numerical calculations in order to analyze the influence of the memory parameters and magnetic parameter on the fluid velocity and temperature. Numerical results are presented in graphical illustrations. It is found that ordinary generalized Burgers’ fluids flow faster than the fractional generalized Burgers’ fluids.کلیدواژه ها
Electro-magneto-hydrodynamic (EMHD) flow, Porous medium, Thermal-fluidic transports, Fractional model, Micro scale flowاطلاعات 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.